Robust H∞control for a class of switched non-linear systems with neutral uncertainties

Li Li Li; Jun Zhao; Georgi M. Dimirovski

doi:10.1177/0142331208095429

Robust H_∞control for a class of switched non-linear systems with neutral uncertainties

Li Li Li^*, Jun Zhao, Georgi M. Dimirovski

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

This paper focuses on the problem of robust H_∞ control for a class of switched non-linear systems with neutral uncertainties. The multiple Lyapunov function approach and the common Lyapunov function approach are exploited respectively for the cases whether states are measurable or not. Uncertainties are allowed to appear in channels of state, control input and disturbance input. Conditions for the solvability of the robust H _∞ control problem and design of both hybrid state feedback and dynamic output feedback controllers are presented. As an application, a hybrid state feedback strategy is proposed to solve the standard robust H _∞ control problem for non-linear systems when no single continuous controller is effective.

Original language	English
Pages (from-to)	635-659
Number of pages	25
Journal	Transactions of the Institute of Measurement and Control
Volume	32
Issue number	6
DOIs	https://doi.org/10.1177/0142331208095429
Publication status	Published - Dec 2010

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abstract = "This paper focuses on the problem of robust H∞ control for a class of switched non-linear systems with neutral uncertainties. The multiple Lyapunov function approach and the common Lyapunov function approach are exploited respectively for the cases whether states are measurable or not. Uncertainties are allowed to appear in channels of state, control input and disturbance input. Conditions for the solvability of the robust H ∞ control problem and design of both hybrid state feedback and dynamic output feedback controllers are presented. As an application, a hybrid state feedback strategy is proposed to solve the standard robust H ∞ control problem for non-linear systems when no single continuous controller is effective.",

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Robust H_∞control for a class of switched non-linear systems with neutral uncertainties

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