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

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  • Weiwei Sun
  • Guochen Pang
  • Pan Wang
  • Lianghong Peng

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.

Suggested Citation

  • Weiwei Sun & Guochen Pang & Pan Wang & Lianghong Peng, 2013. "Robust Adaptive Control and Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, September.
    • Handle: RePEc:hin:jnlmpe:183279
    DOI: 10.1155/2013/183279
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