On state feedback control and Lyapunov analysis of car-following model

Abstract This paper addresses the state feedback control problem of car-following model to circumvent the traffic jam phenomenon. A backstepping-based state feedback control is proposed together with corresponding closed-loop system analysis using Lyapunov theory. Different from existing Laplace transformation and transfer function based analysis method, this paper presents parameter-selection criterion with explicit considerations of initial states. The effectiveness of the proposed control method, and corresponding criterion of parameter-selection, are verified by simulation results.

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