Finite-Time Resilient Control of Networked Markov Switched Nonlinear Systems: A Relaxed Design

Abstract

Robust resilient control is promising and effective since it can combat gain perturbations in control system design. In this article, finite-time resilient control is investigated for the networked Markov switched nonlinear systems (NMSNSs). Both additive and multiplicative feedback gain perturbations with randomly occurring manners are considered during the controller design to improve its tolerance of inaccurate controller implementation. The mode information that is partially available to the controller is incorporated into the design. With the help of the fuzzy-logic method, fuzzy resilient output-feedback controllers are established to cope with the gain perturbations and immeasurable system states. Then, by developing a novel switching model, relaxed conditions compared with the existing results are obtained which guarantee the finite-time boundedness (FTB) of NMSNSs. Based on the FTB analysis, a fuzzy design algorithm is proposed via a new separation approach to obtain the controller gains. Eventually, simulations are conducted via a multimode robotic arm system to validate the achieved results.