Adaptive finite‐time robust control of nonlinear delay Hamiltonian systems via Lyapunov‐Krasovskii method
R Yang, R Guo - Asian Journal of Control, 2018 - Wiley Online Library
R Yang, R Guo
Asian Journal of Control, 2018•Wiley Online LibraryThis 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 …
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 …
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.
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