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Machine Intelligence Research

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01-08-2014 | Regular paper

Adaptive H _∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties

Authors: Pan Wang, Wei-Wei Sun

Published in: Machine Intelligence Research | Issue 4/2014

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Abstract

This paper addresses the adaptive H _∞ control problem for a class of nonlinear Hamiltonian systems with time delay and parametric uncertainties. The uncertainties under consideration are some small parameter perturbations involved in the structure of the Hamiltonian system. Both delay-independent and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii functional approach. In order to construct the adaptive H _∞ controller, the situation that the parameter perturbation is inexistent in the system is also studied and the controller is designed. The adaptive H _∞ control problem is solved under some sufficient conditions which ensure the asymptotic stability and the L ₂ gain performance of the resulted closed-loop system. Numerical example is given to illustrate the applicability of the theoretical results.

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Title: Adaptive H ∞ Control for Nonlinear Hamiltonian Systems with Time Delay and Parametric Uncertainties
Authors: Pan Wang
Wei-Wei Sun
Publication date: 01-08-2014
Publisher: Springer-Verlag
Published in: Machine Intelligence Research / Issue 4/2014
Print ISSN: 2731-538X
Electronic ISSN: 2731-5398
DOI: https://doi.org/10.1007/s11633-014-0802-9

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