H_∞ control of a class of nonlinear Hamiltonian descriptor systems  

作　　者：SUN LiYing WANG YuZhen 

机构地区：[1]School of Control Science and Engineering, Shandong University, Jinan 250061, China [2]School of Science, University of Jinan, Jinan 250022, China

出　　处：《Science China(Information Sciences)》2010年第11期2195-2204,共10页中国科学（信息科学）（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 60774009, 61074068,61034007);the Research Fund of the Doctoral Program of Chinese Higher Education (Grant No. 200804220028)

摘　　要：This paper studies the stabilization and H∞ control of a class of nonlinear Hamiltonian descriptor systems. Firstly, based on the structural characteristic of the nonlinear Hamiltonian descriptor system, an equivalent nonlinear dissipative Hamiltonian differential-algebraic system is obtained by using restricted system equivalent theory. With the dissipative form, the stabilization problem is then discussed for the nonlinear Hamiltonian descriptor systems, and an H∞ controller is designed. Finally, simulations on a nonlinear circuit system are given.This paper studies the stabilization and H∞ control of a class of nonlinear Hamiltonian descriptor systems. Firstly, based on the structural characteristic of the nonlinear Hamiltonian descriptor system, an equivalent nonlinear dissipative Hamiltonian differential-algebraic system is obtained by using restricted system equivalent theory. With the dissipative form, the stabilization problem is then discussed for the nonlinear Hamiltonian descriptor systems, and an H∞ controller is designed. Finally, simulations on a nonlinear circuit system are given.

关 键 词：nonlinear Hamiltonian descriptor systems STABILIZATION H∞ control 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]