State Estimation and Dissipative-Based Control Design for Vehicle Lateral Dynamics With Probabilistic Faults

Abstract

In this paper, the state estimation problem is studied for vehicle lateral dynamics, which are approximated by the Takagi-Sugeno (T-S) fuzzy model with probabilistic actuator faults. First, a fuzzy rule-based state estimator is constructed to estimate the exact state values of the considered system, and then a probability-dependent fault-tolerant state feedback controller is developed based on the estimated state values. Furthermore, by constructing an appropriate Lyapunov-Krasovskii functional, some novel delay-dependent sufficient conditions that ensure the mean-square asymptotic stability and strict (Q(d), S-d, R-d)-dissipativity of the closed-loop fuzzy system are derived. Specifically, the proposed dissipative-based observer design scheme is developed by means of a set of linear matrix inequalities. Finally, the proposed state estimation and fault-tolerant dissipative controller are applied to the addressed system, which demonstrates the usefulness of the developed analytical results.