New observer-based stabilization method for stochastic Hamiltonian systems with time-varying delay

This paper considers the stabilization problem of nonlinear stochastic Hamiltonian systems with input time-varying delay. The systems under consideration are also subject to some small parameter perturbations in which are unavoidably involved. The dissipative structural properties of the Hamiltonian...

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Bibliographic Details
Published in2017 Chinese Automation Congress (CAC) pp. 6812 - 6816
Main Authors Weiwei Sun, Xiao Zhang, You Wu
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2017
Subjects
Control systems
Delays
Perturbation methods
Robustness
Symmetric matrices
Time-varying systems
Uncertainty
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DOI10.1109/CAC.2017.8244004

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Summary:This paper considers the stabilization problem of nonlinear stochastic Hamiltonian systems with input time-varying delay. The systems under consideration are also subject to some small parameter perturbations in which are unavoidably involved. The dissipative structural properties of the Hamiltonian systems are fully considered and an observer-based adaptive controller are proposed to guarantee robustly asymptotically stable in mean square of the closed-loop systems for all admissible uncertainties, as well as bounded delay. Augmented Lyapunov-Krasovskii functionals are constructed and Wirtinger inequalities are utilized to estimate the derivatives of the candidate Lyapunov functionals more accurately. Numerical simulation spells out to illustrate the effectiveness and less conservatism of the proposed method.
DOI:10.1109/CAC.2017.8244004