Observer-based H∞ control for uncertain singular time-delay systems with actuator saturation

• Published in: Optimal control applications & methods Vol. 37; no. 5; pp. 867 - 884
• Main Authors: Ma, Yuechao, Yan, Yifang
• Format: Journal Article
• Language: English
• Published: Glasgow Blackwell Publishing Ltd 01.09.2016; Wiley Subscription Services, Inc
• Subjects: actuator saturation; linear matrix inequality; observer-based H∞ control; singular time-delay systems
• ISSN: 0143-2087; 1099-1514
• DOI: 10.1002/oca.2197

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.