Title: Weighted L₂-gain analysis and fault-tolerant control of nonlinear discrete-time saturated switched systems with time-varying delays

Authors: Hu Guo; Lijun Lin; Xinquan Zhang

Addresses: School of Information and Control Engineering, Liaoning Petrochemical University, Fushun 113001, China ' School of Information and Control Engineering, Liaoning Petrochemical University, Fushun 113001, China ' School of Information and Control Engineering, Liaoning Petrochemical University, Fushun 113001, China

Abstract: In this paper, the problem of the weighted L₂-gain analysis and fault-tolerant control of a class of nonlinear discrete-time switched systems with time-varying delay and actuator saturation is studied by using the minimum dwell time strategy. Firstly, the fault-tolerant state feedback controllers and the switching law are designed such that the closed-loop system with actuator failures satisfies the disturbance attenuation performance indicator. The problem of estimating the capacity of admissible disturbance is transformed into a constrained optimisation problem to ensure that the state trajectory of the closed-loop system is bounded under the action of external disturbances. Also the upper bound of weighted L₂-gain is estimated by solving constrained optimisation problems. Then, when the fault-tolerant controller can be regard as the design variable, the optimisation problems above are adjusted for solving control synthesis problems. Finally, the reliability of the design method is verified by examples.

Keywords: nonlinear switched systems; minimum dwell time; actuator saturation; fault-tolerant control; weighted L₂-gain.

DOI: 10.1504/IJSCC.2024.141383

International Journal of Systems, Control and Communications, 2024 Vol.15 No.3, pp.235 - 272

Received: 05 Dec 2023
Accepted: 25 Mar 2024
Published online: 10 Sep 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article