Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems
Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems
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DOI：
10.1016/j.automatica.2006.09.008
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发表时间：
2007-03
期刊：
影响因子：
--
通讯作者：
Yuzhen Wang;G. Feng;D. Cheng
中科院分区：
文献类型：
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作者：
Yuzhen Wang;G. Feng;D. Cheng
本文研究了一组非线性端口控制哈密顿 (PCH) 系统的同时稳定，并提出了 PCH 系统同时稳定控制器设计的一些结果。首先，研究了两个PCH系统的情况。利用耗散哈密顿结构特性，将两个系统组合起来生成增强的 PCH 系统，从而获得控制设计的一些结果。针对两个系统的哈密顿结构存在参数不确定性的情况，提出了一种自适应联立稳定控制器。当两个系统都存在外部扰动和参数不确定性时，为系统设计了两种同时稳定控制器：一种是鲁棒控制器，另一种是鲁棒自适应控制器。其次，研究了两个以上PCH系统的情况，并提出了系统同时稳定的新结果。最后，利用本文提出的结果对两个说明性示例进行了研究。仿真结果表明本文所获得的同步稳定控制器效果良好。
This paper investigates simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian (PCH) systems and proposes a number of results on the design of simultaneous stabilization controllers for the PCH systems. Firstly, the case of two PCH systems is studied. Using the dissipative Hamiltonian structural properties, the two systems are combined to generate an augmented PCH system, with which some results on the control design are then obtained. For the case that there exist parametric uncertainties in the two systems’ Hamiltonian structures, an adaptive simultaneous stabilization controller is proposed. When there are external disturbances and parametric uncertainties in the two systems, two simultaneous stabilization controllers are designed for the systems: one is a robust controller and the other is a robust adaptive one. Secondly, the case of more than two PCH systems is investigated, and a new result is proposed for the simultaneous stabilization of the systems. Finally, two illustrative examples are studied by using the results proposed in this paper. Simulations show that the simultaneous stabilization controllers obtained in this paper work very well.