Adaptive Finite‐Time Robust Control of Nonlinear Delay Hamiltonian Systems Via Lyapunov‐Krasovskii Method. Issue 1 (29th June 2017)

• Record Type: Journal Article
• Authors: Yang, Renming; Guo, Rongwei
• Is Part Of: Asian journal of control. Volume 20:Issue 1(2018)
• Page Start: 332
• Page End: 342
• Publication Date: 2017-06-29
• Subjects: Nonlinear time‐delay system Hamiltonian system -- stability -- adaptive robust control -- finite‐time control -- L‐K functional approach; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1556
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper investigates the adaptive finite‐time robust control problem of a class of nonlinear time‐delay Hamiltonian systems via the Lyapunov‐Krasovskii (L‐K) method, and proposes some delay‐dependent results on the issue. Different from existing works, this paper first presents a time‐varying finite‐time stability (FTS) criterion via an L‐K functional approach, and obtains two FTS conditions by constructing specific L‐K functionals. Then, the adaptive finite‐time robust control problem is investigated for nonlinear time‐delay port‐controlled Hamiltonian (PCH) systems, and a control design procedure is presented. Finally, the effectiveness of the results is demonstrated by an illustrative example.