Robust Adaptive Control and L 2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay
Robust Adaptive Control and L 2 Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay
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发表时间：
2015
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通讯作者：
Weiwei Sun;Guochen Pang;PanWang;Lianghong Peng
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作者：
Weiwei Sun;Guochen Pang;PanWang;Lianghong Peng
研究了一类具有不确定性和外部扰动的时滞哈密顿控制系统的鲁棒镇定和L 2干扰抑制问题。首先，基于哈密顿系统的耗散结构性质和Lyapunov-Krasovskii(L-K)泛函方法，研究了所给系统的鲁棒稳定性，建立了时滞相关判据。其次，考虑了具有外部扰动的哈密顿系统的L 2扰动衰减问题。针对系统所涉及的时变时滞模式，设计了相应的自适应控制律。结果表明，在反馈控制律的作用下，闭环系统能够保证满足γ耗散不等式。最后，给出了两个数值算例来说明理论发展。
This paper deals with the robust stabilizability and L 2 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 L 2 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.