Guaranteed cost control for uncertain nonlinear systems with mixed time-delays: The discrete-time case. (March 2018)

• Record Type: Journal Article
• Authors: Shen, Bo; Wang, Zidong; Tan, Hailong
• Is Part Of: European journal of control. Volume 40(2018)
• Page Start: 62
• Page End: 67
• Publication Date: 2018-03
• Subjects: Discrete-time systems -- Guaranteed cost control -- Mixed time-delays -- Nonlinear systems -- Uncertain systems; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2017.11.006
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: In this paper, the guaranteed cost control problem is investigated for a general class of discrete-time uncertain nonlinear systems with mixed time-delays. The mixed time-delays under consideration comprise both the discrete and the distributed delays. By using the completing-the-square technique, the discrete and distributed time-delays are handled in a unified framework. Then, by constructing an appropriate Lyapunov functional, a sufficient condition is established under which the closed-loop control system is stable and an adequate performance index is guaranteed over all admissible uncertainties as well as mixed time-delays. Based on the sufficient condition, the nonlinear cost-guaranteed controller is designed and an explicit expression of the controller parameter is obtained. Finally, a numerical simulation example is presented to demonstrate the effectiveness and applicability of the results derived.