Observer‐based H∞ control for uncertain singular time‐delay systems with actuator saturation. (7th September 2015)

• Record Type: Journal Article
• Authors: Ma, Yuechao; Yan, Yifang
• Is Part Of: Optimal control applications and methods. Volume 37:Number 5(2016:Sep./Oct.)
• Page Start: 867
• Page End: 884
• Publication Date: 2015-09-07
• Subjects: observer‐based H∞ control -- actuator saturation -- singular time‐delay systems -- linear matrix inequality; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2197
• Languages: English
• ISSNs: 0143-2087

Abstract

Summary: In this paper, the observer‐based H ∞ control problem for uncertain singular time‐delay systems with actuator saturation is concerned. First, a delay‐dependent linear matrix inequality (LMI) condition is obtained which, guarantees that the uncertain singular time‐delay systems with actuator saturation are regular, impulse free, and asymptotically stable with H ∞ performance condition. Then, with this condition, the estimation of stability region and the design method of observer‐based H ∞ controller are given by solving LMIs and convex optimization problem. Finally, some numerical examples are provided to demonstrate the merit of the obtained results. Copyright © 2015 John Wiley & Sons, Ltd.