A parametric multiple Lyapunov equations approach to switched systems with actuator saturation

Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2018-08-01

Journal: NONLINEAR ANALYSIS-HYBRID SYSTEMS

Included Journals: EI、SCIE

Volume: 29

Page Number: 121-132

ISSN: 1751-570X

Key Words: Switched systems; Actuator saturation; Low-gain feedback; Average dwell time

Abstract: This paper focuses on the problem of saturated control for switched systems with open-loop critical stable subsystems. A parametric multiple Lyapunov equations approach is developed for switched systems through eigen-structure assignment algorithm and parametric algebraic Riccati equations. Linear low-gain feedback controllers and a time-dependent switching law are designed to enforce asymptotic stability of the switched system with actuator saturation. A significant feature of the proposed controllers is that, for an arbitrarily large but bounded initial state, the actuator saturation can be avoided by decreasing the low-gain parameter. Moreover, the observer-based low-gain feedback controllers are derived if state measurements are unavailable. Two examples illustrate the effectiveness of the proposed approach at last. (C) 2018 Published by Elsevier Ltd.

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