Finite-time stability analysis and H∞ control for a class of nonlinear time-delay Hamiltonian systems
Finite-time stability analysis and H∞ control for a class of nonlinear time-delay Hamiltonian systems
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DOI：
10.1016/j.automatica.2012.11.034
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发表时间：
2013-02
期刊：
影响因子：
--
通讯作者：
Renming Yang;Yuzhen Wang
中科院分区：
文献类型：
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作者：
Renming Yang;Yuzhen Wang
本文研究了一类非线性时滞哈密顿系统的有限时间稳定性分析和有限时间H-∞控制设计，给出了与时滞相关的结果。首先，利用Razumikhin方法给出了一般时滞非线性系统的FTS判据。然后，基于该判据，通过构造适当的Lyapunov函数，得到了非线性时滞哈密顿系统的时滞无关和时滞相关的FTS条件。第三，利用所得到的结果研究了有限时间H-∞控制问题，并利用能量整形方法给出了一类非线性时滞端口受控哈密顿系统的控制设计方法。对两个算例的研究表明，本文的结果对于某些非线性时滞哈密顿系统的FTS分析和控制设计具有很好的效果。
This paper investigates the finite-time stability (FTS) analysis and finite-time H∞control design for a class of nonlinear time-delay Hamiltonian systems, and proposes some delay-dependent results on both the FTS and finite-time control design. First, a criterion on the FTS is proposed for general time-delay nonlinear systems via the Razumikhin approach. Then, based on the criterion, some delay-independent and delay-dependent conditions on the FTS are derived for the nonlinear time-delay Hamiltonian systems by constructing a suitable Lyapunov function. Third, we use the obtained FTS results to investigate the finite-time H∞control problem, and present a control design procedure for a class of nonlinear time-delay port-controlled Hamiltonian systems by the energy-shaping approach. Study of two illustrative examples shows that the results obtained in this paper work very well in the FTS analysis and control design of some nonlinear time-delay Hamiltonian systems.