Co-design between robust L1 fault-tolerant control and discrete event-triggered communication scheme for networked control systems with transmission delay and quantisation

Ji Qi and Yanhui Li

International Journal of Systems Science, 2020, vol. 51, issue 15, 3055-3069

Abstract: In order to take into account both the system performance and economical utilisation of network resources, under the discrete event-triggered communication scheme, the problems of the robust $L_{1} $L1 fault-tolerant control for a class of uncertain networked control systems with actuator fault constraint are investigated. In consideration with the imperfect networked environment with transmission delay and quantisation, a model of the error dependent networked closed-loop fault system is established. By constructing an appropriate delay-dependent Lyapunov–Krasovskii functional, the sufficient condition for the existence of robust $L_{1} $L1 fault-tolerant controller is obtained for an error dependent networked closed-loop fault system, and a co-design method for gaining the discrete event-triggered parameter and $L_{1} $L1 fault-tolerant controller is proposed in terms of linear matrix inequalities. Notice that the structure of Lyapunov–Krasovskii functional which considers the piecewise-linear sawtooth structure characteristic of transmission delay, a less conservative result is obtained. Finally, simulation examples are provided to illustrate the feasibility of the proposed method.

Date: 2020
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DOI: 10.1080/00207721.2020.1808111

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