Lattice hydrodynamic model-based feedback control method with traffic interruption probability

2019 ◽  
Vol 33 (23) ◽  
pp. 1950273 ◽  
Author(s):  
Cong Zhai ◽  
Weitiao Wu
Keyword(s):  
Feedback Control ◽  
Hydrodynamic Model ◽  
Traffic Congestion ◽  
Control Method ◽  
Feedback Controller ◽  
Lattice Hydrodynamic Model ◽  
Feedback Control Method ◽  
The Stability ◽  
Probability Effect ◽  
The Impact

Connected vehicles are expected to become commercially available by the next decade, while traffic interruption is not uncommon in the real traffic environment. In this paper, we propose a feedback control method for lattice hydrodynamic model considering the traffic interruption probability effect. The stability criterion of the new model is explored through linear stability analysis of transfer function. When the stability conditions are not satisfied, a delay feedback controller is used to control the discharging flow to suppress traffic congestion. The impact of gain coefficient and delay time on the performance is discussed. We verify the effectiveness of the devised delay feedback controller by simulations. Results show that the traffic interruption probability effect has a considerable impact on the stability of traffic flow, while the controller is effective in suppressing traffic congestion.

Stabilization of a Class of Chaotic Systems via Single-State Adaptive Feedback Controller

2014 ◽  
Vol 571-572 ◽  
pp. 965-968
Author(s):  
De Gang Yang ◽  
Guo Ying Qiu
Keyword(s):  
Feedback Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Feedback Controller ◽  
Control Analysis ◽  
Adaptive Feedback ◽  
Adaptive Feedback Control ◽  
Feedback Control Method ◽  
Single State ◽  
System States

This paper investigates the application of the adaptive feedback control method in the chaotic system and Single-state Adaptive Feedback Controller. We divide the adaptive feedback controller into several items, each of which has only one component of the system states as feedback input into each dimension of the system. With the introduction of single-state controller, the scale of control inputs can be flexibly adjusted, the additional loading reduced, better convergence effect obtained and the application field of adaptive feedback control methods further extended in stable control analysis of chaotic systems. An example is also given to illustrate the validity of our result.

Energy-based output feedback control of the underactuated 2DTORA system with saturated inputs

2020 ◽  
Vol 42 (14) ◽  
pp. 2822-2829
Author(s):  
Kexin Xu ◽  
Xianqing Wu ◽  
Miao Ma ◽  
Yibo Zhang
Keyword(s):  
Feedback Control ◽  
Lyapunov Function ◽  
Output Feedback ◽  
Control Method ◽  
Actuator Saturation ◽  
Output Feedback Control ◽  
Lyapunov Theory ◽  
Velocity Signal ◽  
Feedback Control Method ◽  
The Stability

In this paper, we consider the control issues of the two-dimensional translational oscillator with rotational actuator (2DTORA) system, which has two translational carts and one rotational rotor. An output feedback controller for the 2DTORA system is proposed, which can prevent the unwinding behaviour. In addition, the velocity signal unavailability and actuator saturation are taken into account, simultaneously. In particular, the dynamics of the 2DTORA system are given first. On the basis of the passivity and control objectives of the 2DTORA system, an elaborate Lyapunov function is constructed. Then, based on the introduced Lyapunov function, a novel output feedback control method is proposed straightforwardly for the 2DTORA system. Lyapunov theory and LaSalle’s invariance principle are utilized to analyse the stability of the closed-loop system and the convergence of the states. Finally, simulation results are provided to illustrate the excellent control performance of the proposed controller in comparison with the existing method.

Stability analysis of car-following model on straight and curved roads considering the preceding vehicle’s velocity feedback control

2018 ◽  
Vol 32 (21) ◽  
pp. 1850238 ◽  
Author(s):  
Peng Tan ◽  
Di-Hua Sun ◽  
Dong Chen ◽  
Min Zhao ◽  
Tao Chen
Keyword(s):  
Feedback Control ◽  
Traffic Flow ◽  
Traffic Congestion ◽  
Velocity Feedback ◽  
Car Following ◽  
Car Following Model ◽  
Negative Feedback Control ◽  
The Stability ◽  
The Impact ◽  
Good Agreement

In order to reveal the impact of preceding vehicle’s velocity on traffic flow, an extended car-following model considering preceding vehicle’s velocity feedback control is proposed in this paper. The linear stability criterion of the new model is derived through control theory method and it shows that the feedback control signal impacts the stability of traffic flow. Numerical simulation results is in good agreement with the theoretical analysis, which prove that a smaller negative feedback control of the preceding vehicle’s velocity can enhance the stability of traffic flow, while a smaller positive feedback control of the preceding vehicle’s velocity can exacerbate traffic congestion. Moreover, the reaction coefficients of straight and curved road conditions also play an important role in the stability of traffic flow.

scholarly journals Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Jie Ran ◽  
Yanmin Liu ◽  
Jun He ◽  
Xiang Li
Keyword(s):  
Fixed Point ◽  
Feedback Control ◽  
Convergence Rate ◽  
Approximation Theory ◽  
Control Method ◽  
Control Methods ◽  
Control Parameters ◽  
Random Intensity ◽  
Feedback Control Method ◽  
The Stability

Based on the stability and orthogonal polynomial approximation theory, the ordinary, dislocated, enhancing, and random feedback control methods are used to suppress the Neimark-Sacker bifurcation to fixed point in this paper. It is shown that the convergence rate of enhancing feedback control and random feedback control can be faster than those of dislocated and ordinary feedback control. The random feedback control method, which does not require any adjustable control parameters of the model, just only slightly changes the random intensity. Finally, numerical simulations are presented to verify the effectiveness of the proposed controllers.

Analysis and Design on Course Control for Sail-Assisted Ship

2014 ◽  
Vol 1008-1009 ◽  
pp. 556-561
Author(s):  
Xing Yang ◽  
Xiang Shun Li
Keyword(s):  
Feedback Control ◽  
Control Method ◽  
Response Speed ◽  
Lateral Force ◽  
Drift Angle ◽  
Analysis And Design ◽  
Feedback Control Method ◽  
The Stability ◽  
Yaw Angle ◽  
The Given

Aiming at the problem that sail-assisted ship is easy to yaw because of sail’s lateral force and adjusts its course slowly due to wind, wave and other interferences on the sea, this paper put forward a feedforward feedback control method based on fuzzy system. According to the relationship between lateral force and yaw angle, a feedforward controller was designed to offset the yaw of ship. In order to correct the drift angle of ship automatically, the feedback controller was fulfilled to track the given course. Feedback control loop adopted fuzzy self-adjusting PD controller to make the drift angle be adjusted in time. The simulations indicate that the feedforward feedback control can suppress the disturbance produced by lateral force effectively, enhance the stability of the system and accelerate the response speed.

Effect of density integration on the stability of a new lattice hydrodynamic model

2019 ◽  
Vol 33 (09) ◽  
pp. 1950071 ◽  
Author(s):  
Yu-Chu He ◽  
Geng Zhang ◽  
Dong Chen
Keyword(s):  
Linear Stability ◽  
Hydrodynamic Model ◽  
Traffic Congestion ◽  
Mkdv Equation ◽  
Linear Stability Theory ◽  
Extended Model ◽  
Lattice Hydrodynamic Model ◽  
Nonlinear Properties ◽  
Integration Effect ◽  
The Stability

A novel traffic lattice hydrodynamic model considering the effect of density integration is proposed and analyzed in the paper. Via linear stability theory, linear stability condition of the new model is derived, which reveals an improvement of traffic stability by considering the integration of continuous historical density information. Moreover, the nonlinear properties of the extended model are revealed through nonlinear analysis. The propagating backwards kink–antikink waves are generated by deriving the mKdV equation near the critical point and verified by numerical simulation. All the results show that the density integration effect can suppress traffic congestion efficiently in traffic lattice hydrodynamic modeling.

scholarly journals Output Feedback Control Synthesis and Stabilization for Positive Polynomial Fuzzy Systems Under L1 Performance

2020 ◽  
Author(s):  
Aiwen Meng ◽  
Hak-Keung Lam ◽  
Fucai Liu ◽  
Ziguang Wang
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Control Method ◽  
Negative Impact ◽  
Output Feedback Control ◽  
Convex Problem ◽  
Positive Polynomial ◽  
Feedback Control Method ◽  
System States ◽  
The Stability

This paper presents the stabilization for positive nonlinear systems using polynomial fuzzy models. To conform better to the practical scenarios that system states are not completely measurable, the static output feedback (SOF) control strategy instead of the state feedback control method is employed to realize the stability and positivity of the positive polynomial fuzzy system (PPFS) with satisfying L1-induced performance. However, some troublesome problems in analysis and control design will follow, such as the non-convex problem. Fortunately, by doing mathematical tricks, the non-convex problem is skillfully dealt with. Furthermore, the neglect of external disturbances may lead to a great negative impact on the performance of positive systems. For the sake of guaranteeing the asymptotic stability and positivity under the satisfaction of the optimal performance of the PPFS, it is significant to take the L1-induced performance requirement into consideration as well. In addition, a linear co-positive Lyapunov function is chosen so that the positivity can be extracted well and the stability analysis becomes simple. By using the sum of squares (SOS) technique, the convex stability and positivity conditions in the form of SOS are derived. Eventually, for illustrating the advantages of the proposed method, a simulation example is shown in the simulation section.

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