Incremental H∞ control for switched nonlinear systems

Yuanhong Ren, Weiqun Wang and Yixiang Wang

Applied Mathematics and Computation, 2018, vol. 331, issue C, 251-263

Abstract: In this paper, we investigate the incremental H∞ control for switched nonlinear systems by using a state-dependent switching law and an average dwell time approach incorporated with multiple Lyapunov functions. Even if all subsystems are unstable, a sufficient condition for the incremental H∞ control problem to be solvable is derived based on the design state-dependent switching law. Furthermore, when all subsystems are incrementally globally asymptotically stable (IGAS), the switched nonlinear system under the average dwell time scheme is IGAS and possesses a weighted incremental L2-gain. Then, we extend this result to the case where both IGAS subsystems and unstable subsystems coexist, if the activation time ratio between IGAS subsystems and unstable ones is not less than a specified constant, sufficient conditions for the weighted incremental H∞ performance of the switched system are guaranteed. Two numerical examples are given to illustrate the validity of the proposed approach.

Keywords: Switched nonlinear systems; Average dwell time; State-dependent switching law (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:331:y:2018:i:c:p:251-263

DOI: 10.1016/j.amc.2018.03.016

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