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Abstract and Applied Analysis
Volume 2014, Article ID 748930, 8 pages
http://dx.doi.org/10.1155/2014/748930
Research Article

Robust Simultaneous Stabilization Control Method for Two Port-Controlled Hamiltonian Systems: Controller Parameterization

1School of Energy Science and Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China
2School of Computer Science and Educational Software, Guangzhou University, Guangzhou, Guangdong 510006, China

Received 19 March 2014; Accepted 15 July 2014; Published 5 August 2014

Academic Editor: Fabio M. Camilli

Copyright © 2014 Zhong Cao and Xiaorong Hou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper investigates robust simultaneous stabilization (RSS) control method for two port-controlled Hamiltonian (PCH) systems and proposes results on the design of simultaneous stabilization controller with parameters for such systems. Firstly, two PCH systems are studied. Using the dissipative Hamiltonian structural properties, the systems are combined to generate an augmented PCH system. When there are external disturbances in the systems, a robust controller with parameters is designed for the systems. Secondly, an algorithm for solving parameters of the controller is proposed with symbolic computation. Finally, an illustrative example is presented to show that the RSS controller obtained in this paper works very well.