Collaborative control of coupled map car-following model under heterogeneous connected vehicle environment

In this paper, we propose a more realistic coupled map car following model considering the driver's characteristics of the delay changing over time. Using the theory of Lyapunov function, the sufficient conditions for system stability of the model is presented. Thereafter, we design a new state feedback controller taking into account vehicles sensors failures, which drives the closed-loop system to asymptotic stability in the provision of partial vehicles sensor failure, such that the congestion problem can be effectively suppressed. The gain parameters of the controller are attained by MATLAB's LMIs toolbox. In the numerical example, the performance of designed controller is compared to those of the conventional Konishi controller and without any control. The impact of percentage and location of vehicles on the performance of the controller is also analyzed, which verifies the effectiveness of our method. © 2019, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.