Acronyms and Abbreviations
- MPC:
-
Model Predictive Control
- OD:
-
Origin-Destination
- ADAS:
-
Advanced Driver Assistance Systems
- AHS:
-
Automated Highway System
- IVHS:
-
Intelligent Vehicle/Highway System
Definition of the Subject
The goal of this chapter is to provide an overview of dynamic traffic control techniques described in the literature and applied inpractice. Dynamic traffic control is the term to indicate a collection of tools, procedures, and methods that areused to intervene in traffic in order to improve the traffic flow on the short term, i. e., ranging from minutes to hours. The nature of theimprovement may include increased safety, higher traffic flows, shorter travel times, more stable traffic flows, more reliable travel times, or reducedemissions and noise production.
The tools used for this purpose are in general changeable signs (including traffic signals, dynamic speed limit signs, and changeable messagesigns), radio broadcast messages, or human traffic controllers at the...
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- Feedforward control:
-
The block diagram of a feedforward control structure is shown in Fig. 1 [4]. The behavior of process P can be influenced by the control inputs. As a result the outputs (measurements or observations) show a given behavior. The controller C determines the control inputs in order to reach a given desired behavior of the outputs, taking into account the disturbances that act on the process. In the feedforward structure the controller C translates the desired behavior and the measured disturbances into control actions for the process.
The term feedforward refers to the fact that the direction of the information flow in the system contains no loops, i. e., it propagates only “forward”.
The main advantages of a feedforward controller are that the complete system is stable if the controller and the process are stable, and that its design is in general simple.
- Feedback control:
-
In Fig. 2 the feedback control structure is shown [4]. In contrast to the feedforward control structure, here the behavior of the outputs is coupled back to the controller (hence the name feedback). This structure is also often referred to as “closed‐loop” control.
The main advantages of a feedback controller over a feedforward controller are that (1) it may have a quicker response (resulting in better performance), (2) it may correct undesired offsets in the output, (3) it may suppress unmeasurable disturbances that are observable through the output only, and (4) it may stabilize an unstable system.
- Optimal control:
-
Optimal control is a control methodology that formulates a control problem in terms of a performance function, also called an objective function [73]. This function expresses the performance of the system over a given period of time, and the goal of the controller is to find the control signals that result in optimal performance. Depending on the mathematical description of the control problem there exist several methods for the optimization of the control input including analytic and numerical approaches. Optimal control can be considered as a feedforward control approach.
- Model predictive control:
-
Model predictive control (MPC) is an extension of the optimal control framework [15,79]. In Fig. 3 the block diagram of MPC is shown.
In MPC, at each time step k the optimal control signal is computed (by numerical optimization) over a prediction horizon of \( { N_{\mathrm{p}} } \) steps. A control horizon \( { N_{\mathrm{c}} (< N_{\mathrm{p}} } \)) can be selected to reduce the number of variables and to improve the stability of the system. Beyond the control horizon the control signal is usually taken to be constant. From the resulting optimal control signal only the first sample of the computed control signal is applied to the process. In the next time step \( { k+1 } \), a new optimization is performed with a prediction horizon that is shifted one time step ahead, and of the resulting control signal again only the first sample is applied, and so on. This scheme, called rolling horizon, allows for updating the state from measurements, or even for updating the model in every iteration step.
In other words, MPC is equivalent to optimal control extended with feedback. The advantage of updating the state through feedback is that this results in a controller that has a low sensitivity to prediction errors. Regularly updating the prediction model results in an adaptive control system, which could be useful in situations where the model significantly changes, such as in case of incidents or changing weather conditions.
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Books and Reviews
We refer the interested reader to the following references
in the various fields that have been discussed in thischapter:
Control: General introduction [4], optimal control [73], model predictive control [15,79], nonlinear control [107],
Traffic flow modeling: General overviews [48,49], cell transmission model [26], Kerner's three-phase theory [60], microscopic simulation models [2], cellular automata [80],
Ramp metering: Overviews of ramp metering strategies [18,91], field test and simulation studies [39],
Speed limit systems: Overviews of practical speed limit systems [106,128],
Intelligent vehicles: Overview [10],
Sensor technologies: Overviews [32,33,63,64]
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Hegyi, A., Bellemans, T., De Schutter, B. (2009). Freeway Traffic Management and Control. In: Meyers, R. (eds) Encyclopedia of Complexity and Systems Science. Springer, New York, NY. https://doi.org/10.1007/978-0-387-30440-3_232
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