A parametric multiple Lyapunov equations approach to switched systems with actuator saturation. (August 2018)

• Record Type: Journal Article
• Authors: Wu, Feiyue; Lian, Jie
• Is Part Of: Nonlinear analysis. Volume 29(2018)
• Page Start: 121
• Page End: 132
• Publication Date: 2018-08
• Subjects: Switched systems -- Actuator saturation -- Low-gain feedback -- Average dwell time; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.01.002
• Languages: English
• ISSNs: 1751-570X

Abstract

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.