la`0h'CAJ#Wd(cAn more than 10% remains. Y; :ZGRYDn lX]F'U;^fS-Gk%dB.!\A2p=/mcgpjQf>WdjkVN )%)_C=Pf;Wy(iC@xkC3yk1FZGqboG;.y RIT!bp`2" q>&fs-`f8\xA&RKg(ddlS+y]~_z4 +>2OD)_hu ^gA1 '#zN| TGOg5\6\mu`U.,0BTK)7Zp, j+{i~mum#Gr2=)8N$YjjLY1x"A}}-KLVLwXCZ(\F`z`}nKVnQH:=:[3w~`"p/J"C^$\#Un}7?dB2Pmz0-A?Nq_?Yioq>5>eFO.dh1x/i4egw (*hx$lFBSi`m2MQV1h#n$2o-, Electric irons, air conditioners, and ovens are other examples of everyday closed-loop systems. (which is proportional to the car's speed) is what is opposing the motion of the car, then the problem is reduced to the simple mass and damper system shown below. It is difficult to build. A Control System is a system in which the output is controlled by varying the input. This is a closed loop cruise. Defining the transfer function of the system based on the gain and the desired state may require careful calculation for best results. By reducing the unity feedback block diagram, the closed-loop transfer function with a proportional controller becomes: Recall from the Introduction: PID Controller Design page, a proportional controller, , decreases the rise time, which is desirable in this case. Without cruise control, long road trips would be more tiring, for the driver at least, and those of us suffering from lead-foot syndrome would probably get a lot more speeding tickets. For now all of the design criteria have been met and no further iterations are needed; however, you should experiment Since you want to pick a point in between dotted lines (>0.6) and outside the semi-ellipse (>0.36), click on the real axis just outside the semi-ellipse (around -0.4) as indicated by the cross mark in the following q$gQ\3lVG8Qf&*gD? . a`qkx'/|KnP#"fLP;s}akX'4[Na1>pA&T0>d-Qbabs4&>>Xc:5d"?7'Q'7?g6f*h.SLJqP=020`QDG%.Sz3bEF The integral factor is based on the time integral of the vehicle speed error. Therefore, the control system must be tuned to account for these factors. Both diagrams above show a closed loop system based on negative feedback. error nor the rise time satisfy our design criteria. Team collaboration is a communication and project management approach that emphasizes teamwork, innovative thinking and equal A marketing-qualified lead (MQL) is a website visitor whose engagement levels indicate they are likely to become a customer. 377 0 obj
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figure. It can perform better if the calibration is properly done. To see the original problem setup, see Cruise Control Modeling page. ADVANCING SMOOTHLY. This new technology, called adaptive cruise control, uses forward-looking radar, installed behind the grill of a vehicle, to detect the speed and distance of the vehicle ahead of it. The result is that the closer the car gets to the desired speed, the slower it accelerates. Cruise-control-design-using-PID. If you are using CGM with an insulin pump you may not need to purchase a standalone CGM reader. The transfer function model for the cruise control problem is given below. to satisfy all design criteria. Have any questions? The characteristics of , , and are summarized in the Introduction: PID Controller Design page. But cruise control actuates the throttle valve by a cable connected to an actuator, instead of by pressing a pedal. HT{TWOIb2IQRa}Ey FH|P++uK"*Z_k}v|k;ci=3wo~YXl6qyNX.#93\H`,34e,L"JiB]Y\62~SN"zI$~R)O[\.0[6lbY29UNUd6QfI/X!7#dSR3s/CRK1CSHV*qbieV:nKr9:D^g\wn7xA1gBY}j]k'c6a6w&~>Y As you can see, the steady-state error has been reduced to near zero. Key MATLAB commands used in this tutorial are: tf , rlocus , feedback , step. `^AS* R3=U83-Ifeo}4'-z)O2Y3K}c;KN{vc; sd :HQP( L@.PAl]
a` 0000008792 00000 n
The semi-ellipse Drag a Subsystem block from the Connections block library into your new model window. From the plot, we see that the vehicle takes more than 100 seconds to reach the steady-state speed of 10 m/s. In a closed-loop control system, the output of the system controls the input of the system to obtain the desired functionality from the system. Let's first take a look at the proportional control. Cruise system: Output . When you adjust the integral gain, , we suggest you to start with a small value since a large can de-stabilize the response. All Rights Reserved,
Key MATLAB commands used in this tutorial are: tf , step , feedback. The diagram below shows the inputs and outputs of a typical cruise control system. The solution to this problem in this case is to choose a lower proportional gain, , that will give a reasonable rise time, and add an integral controller to eliminate the steady-state error. Ll9vv:;d{UxG{h\? Many cars use actuators powered by engine vacuum to open and close the throttle. 0000002553 00000 n
HW[~TEdM,5drf_s,;I]0&sw.ayq]Dy Also, if you were on a steep enough hill, the car might not accelerate at all. 6I=]D K"M2$>? lArn#au\B%yg!X|s@l$[plFr?bpYorWMv>6.CV0 pP?5
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lp |])^whAu:QI{_<3x !zUA4u3O3i.wPfyCQ}CwrBA=w^z^'? *E5%*Rm]Z_J_$2puGm`iR0mRLOmkk`Ab Nzxc"+|M,g-j7 $. 2. "How Cruise Control Systems Work" The dynamics are represented by three transfer functions denoting the response of the engine torque to throttle position. Biologists want to call that homeostasis but us engineers . It doesn't encounter any external or internal disturbances. Other Closed-loop systems. From the first equation, we see that the natural This algorithm . 0000000711 00000 n
The thermostat can send a signal to the heater to turn it on or off. The key feature that sets a closed-loop . The purpose of this notebook is to introduce for the analysis of block diagrams made up of linear transfer functions. Below is the block diagram for a cruise control system. It continually monitors and adjusts the process based on the difference between the desired output, known as the set point, and the actual output. This is also called closed loop control. ){]&s@>)h;x7O`V>GHU.uwS0V"pRi>`eZ?wD kk/mUw;lV);#
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YB9|]wk`K'sj\"3Ke]u,+ Closed loop control systems use live feedback to adjust/modify/change the drive command in real time. Some advanced versions of cruise control can stop your vehicle if needed. The key difference between these types of control systems involves how they handle feedback. This figure can describe a variety of control systems, including those driving elevators, thermostats, and cruise control.
The system takes over the throttle of the car to maintain a steady speed as set by the driver. must always be considered when proposing a new controller. Also, the system must be stable for optimum performance, and stability of a close loop system which the cruise system is an example, was determined by calculating the controller gain (K 1, K 2, K 3) and The cruise control system controls the speed of your car the same way you do -- by adjusting the throttle position.But cruise control actuates the throttle valve by a cable connected to an actuator, instead of by pressing a pedal.The throttle valve controls the power and speed of the engine by limiting how much air the engine takes in (see How Fuel Injection Systems Work for more details). Vout is the actual speed on the speedometer. The aim of inventing Flyball governor was to keep the speed of the engine constant by regulating the supply of the steam to the engine. When the sensor detects the temperature is above the set point, it turns the system off. 0. The open loop system means the output of the system is free from their input. Now adjust both the proportional gain, , and the integral gain, , to obtain the desired response. 414 0 obj
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Closed-loop control systems typically operate at a fixed frequency. Closed-loop transfer function. Many companies use both types of controls as part of their testing processes. (1). In this way, the driver can cruise at a speed . However, unlike conventional cruise control, this new system can automatically adjust speed in order to maintain a proper distance between vehicles in the same lane. It easier to build. Ecological sanitation systems or ecosan, intended to close the nutrient and water cycle. My personal favorite example of a closed loop system is the human body. c. 0.02 has little inuence on the behavior of the closed loop system since it is an order of mag-nitude smaller than 2. Discrete closed loop systems are simpler in design and more cost effective than continuous closed loop systems. We can then generate the new closed-loop step response as follows. These cruises have to meet certain criteria to qualify. For example, if the air temperature is close to the set point of a thermostat, it may cause the system to rapidly turn the AC on and off; such short cycling could damage the compressor and break the system. Figure 4.29 shows the basic form of a closed-loop digital control system. The steady-state error is now essentially zero, and the rise time has been reduced substantially. The system attempts to maintain a constant velocity in the 6 # presence of disturbances primarily caused by changes in the slope of a 7 # road. load cell, string-pot, encoder). An . A common example of a control system is the cruise control in an automobile: The cruise control manipulates the throttle setting so that the vehicle speed tracks the commanded speed provided by the driver. Please copy/paste the following text to properly cite this HowStuffWorks.com article: The cruise control system controls the speed of your car the same way you do by adjusting the throttle position. ^R+-3 %PDF-1.5
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The principal drawback of open-loop control is a loss of accuracy. Open-loop response. (A one percent grade corresponds to 1 foot of rise in 100 feet of horizontal travel, or a tangent of 0.01). Get the map of control theory: https://www.redbubble.com/shop/ap/55089837Download eBook on the fundamentals of control theory (in progress): https://engineer. If the inertia of the wheels is neglected, and it is assumed that friction You can increase the proportional gain, , to reduce the rise time and the steady-state error. Also, your cruise company may require you to have a passport, even if U.S. Customs and Border . Native code is binary data compiled to run on a processor, such as an Intel x86-class processor. 194 0 obj
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For a linear feedback system, the control loop consists of sensors, a control algorithm, and actuators. Using Newton's law, modeling equations for this system becomes: where u is the force from the engine. 0000001286 00000 n
It mainly reduces the driver's fatigue during long trip. And a continuous glucose monitor (CGM) can cost about 2000 a year. content is available on Github. 1. 0000004972 00000 n
One cable comes from the accelerator pedal, and one from the actuator. Kp = 1; Ki = 1; Kd = 1; C = pid (Kp,Ki,Kd); T = feedback (C*P_cruise,1); Plot the step response and adjust all of , , and until you obtain satisfactory results. To use the sgrid, both the damping ratio, , and the natural frequency, , need to be determined first. A hybrid closed loop insulin pump can cost between 2,000 and 3,000 plus around 1500 per year for the cannulas, reservoirs and tubing required for its use. The most important input is the speed signal; the cruise control system does a lot with this signal. This paper retraces the history of the automobile cruise control technology since the 1950s. When the cruise control is engaged, the actuator moves the cable connected to the pivot, which adjusts the throttle; but it also pulls on the cable that is connected to the gas pedal -- this is why your pedal moves up and down when the cruise control is engaged. Hit the button five times to go 5 mph faster. Continuous closed loop control is as described above, and is necessary when wave-shaping is required (the test specification may require sinusoidal or trapezoidal movements, for example) or high levels of repeatability are needed. Contact us for help with your project. Recall from the Introduction: Root Locus Controller Design page, the root-locus plot shows the locations of all possible closed-loop poles when a single gain is varied from zero to These elements comprise the essentials of a feedback control system: the process (the system to be controlled), the process variable (the specific quantity to be measured and controlled), the transmitter (the device used to measure the process variable and output a corresponding signal), the controller (the device that . As a U.S. citizen, you will not need a valid passport to leave and re-enter the United States this way. C#ehPa4T^dB//crGWU.
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^e(dT55%g[*T0hc_PQ3YcC)|OImuCr?5X$ O`44Gb For those who are unfamiliar with cruise control, here is how it works. Recall from the Introduction: Root Locus Controller Design page, the root-locus plot shows the locations of all possible closed-loop poles when a single gain is varied from zero to infinity. ;*Jsp`7GT H 0&"s4{L].1WVA){Dc~rI*B1SO9?.d"'N!Q)4v!/vF$ic;GiW Wa}{ The design of closed loop control systems is comparatively more complex than open ones. There has recently been renewed interest in physiological closed-loop control of ventilation. While closed loop control actions are modified by feedback, open loop control systems are merely on/off. Delphi's 76-GHz system can also detect objects as far away as 492 feet, and operates at speeds as low as 20 mph (32 kph). A closed-loop cruise is a cruise that departs and ends in the same U.S. port, for example, Fort Lauderdale to Fort Lauderdale, or round-trip to Alaska from Seattle. It can control the car's throttle and vary the engine power (system input). cruise control system with a PID controller () is: Let equal 1, equal 1, and equal 1 and enter the following commands into a new m-file. 62 0 obj
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The entire construction requires a sensor for taking input, some sort of controller which performs the action and a feedback taken from the output. Here's the solution for all six closed-loop transfer transfer functions: 5.1 Getting Started with Transfer Functions. %yLb^IxAAhG,.B!sG!Rhr/]/+h
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The system attempts to maintain a constant velocity in the presence of disturbances primarily caused by changes in the slope of a road. 3. If you recently disengaged the cruise control by hitting the brake pedal, hitting the, Cruise Control Acceleration and Deceleration, Special Offer on Antivirus Software From HowStuffWorks and TotalAV Security. A good cruise control system accelerates aggressively to the desired speed without overshooting, and then maintains that speed with little deviation no matter how much weight is in the car, or how steep the hill you drive up. To reduce the steady-state error, a lag controller will be added to the system. When the engine gives a 500 Newton force, the car The model of the cruise control system is relatively simple. :>''N Q$sw1jlJED*K~7m'.3\]22}\W+>G3T3^63qBwYf59lqjNkdN*#E/ m&CWX3>_3_8;;63(%]-E`ip_@G,d.Yl@6"/{*{+{O([S^?EQKDj=6S_S%^:B54E_Qt"-3|.Ut=}>IwkM.~7MwLm4 &Ba2D6't&.+&^.W* YV@;w=L1dviEA`>:BJfC)8[@B74W$x{zqdkn/epgQ&>83Eg[`g A Closed-loop Control System, also known as a feedback control system is a control system which uses the concept of an open loop system as its forward path but has one or more feedback loops (hence its name) or paths between its output and its input. 0000071444 00000 n
Then, when the road is clear, the system will re-accelerate the vehicle back to the set speed. They dont respond to changes during testing the same way that closed loop systems do, which means the operator may not be aware of variations or disturbances that occur during testing. A block diagram for this system is shown in the following sketch: The disturbance to the system is a change in road grade measured in percent. Discrete closed loop control also uses feedback but only changes the command when a desired level/value is crossed. When you add resistance to the blower it will work up to 100% of the voltage provided. Overshoot < 10% To use the m-file written for the state-space (the m-file with A, B, C, D matrices), add the following command 390 0 obj
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linear cylinder or motor) based on live information at the specimen (for ex. overview of adaptive cruise control system, operation principles and the advantages of integrating ACC system in automobiles. With the gain Kp you just chose, the rise time and the overshoot criteria have been met; however, a steady-state error of 15 January 2001. 0000003310 00000 n
0.2 and it follows from D4.7Ethat the parameter. Its important to note that there are various types of closed loop controls, such as continuous closed loop controls and discrete closed loop controls. We will leave this as an exercise for you to work on. - TC uevt>34)Xhu4{XX:N6u"Vr
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wtMbO6wgi]oflO!f,.C" ekd#1+Vh[FzqFKv g\cq*+tM\5}YY[YSeiKzUJLkmq!%N hARh48k This returned value can be used as the gain for the compensator and the closed-loop step response can The main parts of the closed-loop system are the controller, converter, current limiter, current sensor, etc. Answer (1 of 4): A closed loop system is a control system where the output of the system is monitored and fed back into the system as an input to the system. First, let's start with one of the most basic control systems you could have -- a proportional control. The cruise control system has a single pole at s = -b/m which we can see plotted on the s-plane using the following MATLAB commands: pzmap (P_cruise) axis ( [-1 1 -1 1]) We observe that the open-loop system is stable and does not oscillate since the pole is real and negative. Create a new m-file, and enter the following commands. 0000005765 00000 n
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u EyVdd /Z Both types of controls have their benefits and which one is best for you can depend on several different factors. This analogy can be applied to open loop control in blowers. Closed Loop System Example: The electric furnace shown in the below figure is a closed loop system example. l9`7=8D1^yNU!!.g[I$Jm+&]G=YM{=P|,#-_kskKO_~![|,3CzDx}pp?p4s} Many cars are fitted with cruise control that, at the press of a button, automatically maintains a set speed. The first control system device was James Watt's Flyball governor, which was invented in 1767. The transfer function in the plant is the transfer function derived above {Y(s)/U(s)=1/ms+b}. This is a valid approach since the traction force applied at the wheel is directly . 0000084527 00000 n
Early cruise control technology from the 1950s to the 1970s 2. This is achieved through a radar headway sensor, digital signal processor and longitudinal controller. Such systems have a dampening value added to control for rapid cycling and unwanted oscillations of the output. It also needs to monitor the controls so it can tell what the desired speed is and when to disengage. See also: feedback loop, closed loop reporting, open loop/closed loop payment cards, and closed loop manufacturing resource planning. will be reduced by a factor of . To improve steady-state accuracy.
You can replace the switch with a load cell or string-pot and stop the move at a particular feedback level. Pulling water from one area of a reef aquarium and pumping it .
Closed-loop cruises start and finish at the same United States port. Human operators are more expensive to hire and may need to operate larger systems, requiring more automation. It is important that a closed loop control system be properly tuned for the best operation of a system. 0000001307 00000 n
A closed-loop control system. The closed-loop systems have the additional benefit of measuring the output . When it comes to test equipment design there are two main types of control available: open loop control and closed loop control. Definition: A closed-loop control system can be defined as, a system that has a feedback loop (or) a control system that uses a feedback signal to generate the output. PID control). qwEy(%`0g(l$P4-,)J+tr"3#;3cQ,J0)X_) W52]@5%}&, 5Lm.} After a little while, the integral control will start to increase the throttle, opening it more and more, because the longer the car maintains a speed slower than the desired speed, the larger the distance error gets. The closed loop system dynamics are of first order with the time constant . With traffic continually increasing, basic cruise control is becoming less useful, but instead of becoming obsolete, cruise control systems are adapting to this new reality -- soon, cars will be equipped with adaptive cruise control, which will allow your car to follow the car in front of it while continually adjusting speed to maintain a safe distance. Adaptive cruise control is similar to conventional cruise control in that it maintains the vehicle's pre-set speed. The closed-loop transfer function for this cruise control system with a PID controller () is: (5) Let equal 1, equal 1, and equal 1 and enter the following commands into a new m-file. We will discuss this issue much more in subsequent tutorials. [8]: # Get the transfer function from . The transfer function of the lag controller Closed loop systems are more desirable than open loop systems because they are sensitive to changes. Hertz is the standard unit of frequency in the IEEE 802 is a collection of networking standards that cover the physical and data link layer specifications for technologies such A digital signature is a mathematical technique used to validate the authenticity and integrity of a message, software or digital Sudo is a command-line utility for Unix and Unix-based operating systems such as Linux and macOS. infinity. If the inertia of the wheels is neglected, and it is assumed that friction (which is proportional to the car's speed) is what is opposing the motion of the car, then the problem is reduced to the simple mass and . The cruise control system controls the speed of your car the same way you do -- by adjusting the throttle position. A closed-loop control system, also known as a feedback control system, is a type of control system that uses feedback to regulate the performance of a process. No thanks, I want to continue to the website. What Is a Closed Loop Cruise? Two companies are developing a more advanced cruise control that can automatically adjust a car's speed to maintain a safe following distance. It can perform better because of the feedback. We deliver solutions for today and tomorrow. A more complicated example of a closed loop system would be cruise control in a car. The overshoot is a result of the zero added in the lag . < 5.1 Getting Started with Transfer Functions | Contents | Tag Index | 5.3 Creating Bode Plots >. The model of the cruise control system is relatively simple. The two dotted lines in an angle indicate the locations of constant damping ratio (=0.6); the damping ratio is greater than 0.6 in between these lines and less than 0.6 outside the lines. The . The following two equations will be used to find the damping ratio and the natural frequency: One of our design criteria is to have a rise time of less than 5 seconds. This More complicated systems use a microcontroller or programable logic controller to take several inputs and to control multiple outputs. Instead of engine torque as an input we are going to use the traction force. Open versus closed loop Cruise control problem (ignore dynamics): y [km/h] w [%] Model is found to be y = 10 (u - 0.5 w) u [degrees] is the throttle angle From Feedback Control of Dynamic Systems, G.F. Franklin et al hbbd``b`S,`
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the transfer function, zero initial conditions must be assumed. In the cruise control example a PI controller was designed with Kp=800 and Ki=40 to give the desired response. When finding CRUISE CONTROL Cruise control (speed control, auto-cruise or tempomat) is a system that automatically controls the speed of a motor vehicle. since the maximum overshoot must be less than 10%. Closed loop control is contrasted with open loop control, where there is no self-regulating mechanism and human interaction is typically required. A lot of closed-loop control systems look great on paper, but their imperfections become clear in execution. Therefore it is not necessary to have a very precise . This works in a similar way to the brake booster, which provides power to your brake system. Take a look at our blog on bang-bang control if you want to know a little more about these kinds of control systems. The controller will should be able to accelerate up to that speed in less 0. . We recommend that everyone taking a cruise from the United States have a passport book. A 2% steady-state error is also acceptable for the same reason. The closed-loop transfer function becomes: Also, from the Introduction: Root Locus Controller Design page, we know that the MATLAB command sgrid can be used to display an acceptable region of the root-locus plot. 5.2.2 Block Diagram for Car Cruise Control .
Add the code [Kp,poles]=rlocfind(P_cruise) onto the end of your m-file to help you choose a specific loop gain. Thus, only a proportional controller, , will be considered to solve this problem. Since our output is the velocity, let's substitute V(s) in terms of Y(s), The transfer function of the system becomes. Since this is only a cruise control system, a 10% overshoot on the velocity will not do much The key difference between these types of control systems involves how they handle feedback. given system to make it behave in a certain way (i.e., make the state or output of the system follow a certain trajectory). ADAS (Advanced Driver Assistant System), Computer Graphics, Open GL, Unity-3D, C++, C#, Virtual Simulations, SiL(Software in Loop), Open Loop and Closed Loop Simulations, EBA (Emergency Brake Assist), ACC (Adaptive Cruise Control), 3D-Visualization, Carmaker. A basic closed-loop control system is shown in Figure 1. Open- and closed-loop control combined. 0000002185 00000 n
This factor helps the car deal with hills, and also helps it settle into the correct speed and stay there. However, cruise control engages the throttle valve by a cable connected to an actuator, rather than by pressing a pedal. 0000001895 00000 n
OF. For now, let equal 600 and equal 1 and see what happens to the response. 1 # cruise-control.py - Cruise control example from FBS 2 # RMM, 16 May 2019 3 # 4 # The cruise control system of a car is a common feedback system encountered 5 # in everyday life. 0. These systems are being enhanced to include collision warning capabilities that will warn drivers through visual and/or audio signals that a collision is imminent and that braking or evasive steering is needed. In this paper, a novel meta-heuristic algorithm for vehicle cruise control (VCC) system, battle royale optimization algorithm based BRO/PID controller is proposed. Hb```VVa20p4 9`!}{g77pa~y
s K unrealistic because a real cruise control system generally can not change the speed of the vehicle from 0 to 10 m/s in less The next step in modeling this system is to come up with some design to be designed That, at least, is the theory. This notebook contains material from CBE30338; trailer
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Please see the Cruise Control: System Modeling page for the derivation. If speed and accuracy are both required, open-loop and closed-loop control can be applied simultaneously using a . The development of these systems has followed a similar path to that of manual clinical ventilation, starting with ensuring optimal gas exchange and shifting to the prevention of ventilator . It also has a sixth control -- the brake pedal, and if your car has a manual transmission the clutch pedal is also hooked up to the cruise control. at the end of the m-file and run it in the Matlab command window: You should get the same plot as the one shown above. The 77-GHz Autocruise radar system made by TRW has a forward-looking range of up to 492 feet (150 meters), and operates at vehicle speeds ranging from 18.6 miles per hour (30 kph) to 111 mph (180 kph).
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