Nonfragile fault‐tolerant control of suspension systems subject to input quantization and actuator fault

Abstract

This study addresses the quantized nonfragile feedback control problem for active suspension systems with and without actuator faults. By considering the input quantization, a class of dynamic quantizers is adopted. The multiplicative controller gain variation is used to describe the actuator parameter perturbation or uncertainty. Apart from the ride comfort, the road holding ability and the hard constraints on suspension deflection and actuator force are also taken into account, which can be treated as a multi-objective control problem. The redundancy of input quantization error is used to formulate the quantized closed-loop system via the descriptor representation approach, then a novel quantized control strategy based on state feedback by separately designing dynamic quantizer and controller is proposed for the closed-loop system with and without actuator faults. The design strategy is a unified and simple one, then can be easily extended to the case of static output feedback, as only part of the variables measured by sensors are available, which avoids some equality constraints in existing works. Finally, some simulation results are presented to validate the feasibility and effectiveness of the developed control strategies. K E Y W O R D S active suspension, input quantization, nonfragile fault-tolerant control, static output feedback 1 INTRODUCTION At present, vehicles are so popular and closely related to all aspects of human life. With the development of vehicle manufacturing and driverless technology, people pay more and more attention to the vehicle safety and riding comfort while liberating their hands. Due to the impact of vertical vibration on the vehicle performance and the drivers' fatigue, health, and discomfort, the vehicle suspension system (SS) is so crucial to inhibit these negative effects. However, the vehicle performance, such as the ride comfort, road holding stability, and maneuverability, generally conflicts with each other; therefore, when design the SS, considerable attention and effort have been paid for the control and optimization problem of these required suspension performances and realizing the trade-off between them. 1 Among different types of SSs, the active suspension system (ASS) is the more attractive ones, due to its great potential in terms of improving vehicle This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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