access icon free Non-fragile control design and state estimation for vehicle dynamics subject to input delay and actuator faults

© The Institution of Engineering and Technology
Received 29/08/2018, Accepted 24/09/2019, Revised 04/07/2019, Published 01/10/2019

In this study, the authors precisely concentrate on the issue of state estimator-based non-fragile reliable control design of the vehicle dynamics in critical situations via the extended dissipative theory. In particular, the vehicle dynamics for rollover mitigation with input time delay and the state estimator are represented by the Takagi–Sugeno (T-S) fuzzy model. Moreover, by constructing a suitable Lyapunov–Krasovskii functional, sufficient conditions for asymptotic stability and extended dissipativity of the proposed T-S fuzzy control system are formulated in terms of linear matrix inequalities (LMIs) such that the estimated state values are exactly synchronised with the actual state values of the considered vehicle model. Also, a non-fragile reliable control design method is then presented via the formulated LMI-based conditions, which can satisfactorily prevent the vehicle rollover in critical situations. Finally, the proposed theoretical results are verified through simulations wherein the significance and importance of the designed non-fragile controller are clearly illustrated.

Inspec keywords: robust control; fuzzy control; time-varying systems; control system synthesis; Lyapunov methods; asymptotic stability; actuators; linear matrix inequalities; delays; vehicle dynamics; state estimation; uncertain systems

Other keywords: considered vehicle model; formulated LMI-based conditions; estimated state values; state estimation; sufficient conditions; T-S fuzzy control system; nonfragile controller; Takagi–Sugeno fuzzy model; vehicle rollover; critical situations; actual state values; actuator faults; state estimator-based nonfragile reliable control design; input delay; nonfragile reliable control design method; extended dissipative theory; input time delay; vehicle dynamics

Subjects: Distributed parameter control systems; Stability in control theory; Transportation system control; Time-varying control systems; Algebra; Vehicle mechanics; Control system analysis and synthesis methods; Fuzzy control; Algebra; Optimal control

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