Adaptive robust simultaneous stabilization controller with tuning parameters design for two dissipative Hamiltonian systems

Archives of Control Sciences

Zhao Wenjing¹  Hou Xiaorong²  Cao Zhong³ 

[1] Lab Center, Guangzhou University, Guangzhou510006, China;School of Energy Science and Engineering, University of Electronic Science and Technology of China611731, Chengdu, China;School of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China and also with Guangdong Provincial Engineering and Technology Research Center for Mathematical Education Software, Guangzhou, 510006, China;

关键词: ARSS control;    DHSs;    symbolic computation;    controller parameterization;    tuning parameters;   

DOI  :  10.1515/acsc-2017-0030

来源: DOAJ

【 摘 要 】

This paper investigates the problem of adaptive robust simultaneous stabilization (ARSS) of two dissipative Hamiltonian systems (DHSs), and proposes a number of results on the controller parameterization design. Firstly, an adaptive H∞ control design approach is presented by using the dissipative Hamiltonian structural for the case that there are both external disturbances and parametric uncertainties in two DHSs. Secondly, an algorithm for solving tuning parameters of the controller is proposed using symbolic computation. The proposed controller parameterization method avoids solving Hamilton-Jacobi-Issacs (HJI) equations and the obtained controller is easier as compared to some existing ones. Finally, an illustrative example is presented to show that the ARSS controller obtained in this paper works very well.

【 授权许可】

Unknown