Robust Adaptive Control and Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay

Weiwei Sun, Guochen Pang, Pan Wang and Lianghong Peng

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

Abstract:

This paper deals with the robust stabilizability and disturbance attenuation for a class of time-delay Hamiltonian control systems with uncertainties and external disturbances. Firstly, the robust stability of the given systems is studied, and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii (L-K) functional approach. Secondly, the problem of disturbance attenuation is considered for the Hamiltonian systems subject to external disturbances. An adaptive control law is designed corresponding to the time-varying delay pattern involved in the systems. It is shown that the closed-loop systems under the feedback control law can guarantee the γ -dissipative inequalities be satisfied. Finally, two numerical examples are provided to illustrate the theoretical developments.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:183279

DOI: 10.1155/2013/183279

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