H∞ Control for Mixed-Mode Based Switched Nonlinear Systems with Time-Varying Delay. (11th February 2019)

• Record Type: Journal Article
• Authors: Liu, Zhen; Miao, Shu; Ye, Canbo; Liu, Xingbo
• Other Names: Xu Gen Q. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-02-11
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/2835914
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper investigatedH ∞ performance of the switched nonlinear systems with time-varying delay, which contains mixed modes, important characteristics of switched delay systems. Most of the references ignored the existence of mixed modes in such systems, which is a fatal mistake. This paper will correct the mistake of the existing references. The mixed modes give theH ∞ control for switched nonlinear delay systems a challenge. With this difficulty, we take measures to handle the effects of mixed modes on such systems and achieve theH ∞ performance of such systems. Firstly, theH ∞ control analysis is divided into two cases, and the sufficient conditions for the exponential decay of the Lyapunov-Krasovskii functionals are given with the integral interval approach. Secondly, the combination of average dwell-time approach and subsystem activation rate is utilized to achieve theH ∞ performance for the mixed-mode based switched systems with time-varying delay. Finally, simulation examples show the efficiency of the switching control strategy.