Decentralised state-feedback prescribed performance control for a class of interconnected nonlinear full-state time-delay systems with strong interconnection. Issue 12 (10th September 2021)

• Record Type: Journal Article
• Authors: Zhang, Liuliu; Zhu, Lingchen; Hua, Changchun; Qian, Cheng
• Is Part Of: International journal of systems science. Volume 52:Issue 12(2021)
• Page Start: 2580
• Page End: 2596
• Publication Date: 2021-09-10
• Subjects: Interconnected nonlinear systems -- full-state time-delay -- strong interconnection -- prescribed performance; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2021.1892237
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper investigates the problem of the state-feedback control design for a class of interconnected nonlinear full-state time-delay systems with strong interconnection and prescribed performance. Based on the dynamic gain approach and Lyapunov-Krasovskii method, it overcomes the rigorous restriction that the interconnected time-delay functions should satisfy linear growth condition. Compared with the existing results, the main contribution is that the dynamic gain approach is extended to state-feedback control for interconnected time-delay systems, and it is strictly proved that the closed-loop system is globally bounded stable with the proposed decentralised control strategy. The problem of the strong interconnection terms is solved by combining the backstepping approach and graph theory. Furthermore, the expected transient and steady-state performance of the output can be guaranteed by considering prescribed performance control into such strongly interconnected systems. Finally, simulation is performed and the results show the effectiveness of the proposed method.