Finite‐time control for LPV systems with parameter‐varying time delays and exogenous disturbances. (7th March 2017)

• Record Type: Journal Article
• Authors: Hu, Yanmei; Duan, Guangren; Tan, Feng
• Is Part Of: International journal of robust and nonlinear control. Volume 27:Number 17(2017)
• Page Start: 3841
• Page End: 3861
• Publication Date: 2017-03-07
• Subjects: linear parameter‐varying systems -- time‐delay systems -- external disturbances -- finite‐time control -- linear matrix inequalities; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3768
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: In this paper, we consider the stability analysis and control synthesis of finite‐time boundedness problems for linear parameter‐varying (LPV) systems subject to parameter‐varying time delays and external disturbances. First, the concepts of uniform finite‐time stability and uniform finite‐time boundedness are introduced to LPV systems. Then, sufficient conditions, which guarantee LPV systems with parameter‐varying time delays finite‐time bounded, are presented by using parameter‐dependent Lyapunov–Krasovskii functionals and free‐weight matrix technologies. Moreover, on the basis of the results on the uniform finite‐time boundedness, the parameter‐dependent state feedback controllers are designed to finite‐time stabilize LPV systems. Both analysis and synthesis conditions are delay‐dependent, and they are formulated in terms of linear matrix inequalities by using efficient interior‐point algorithms. Finally, results obtained in simulation demonstrate the effectiveness of the proposed approach. Copyright © 2017 John Wiley & Sons, Ltd.