An undecomposed approach to control design for a class of nonlinear descriptor systems

被引：22
作者：
Sun, Liying [1 ]
Wang, Yuzhen [2 ]
机构：
[1] Univ Jinan, Sch Math, Jinan 250022, Peoples R China
[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2013年 / 23卷 / 06期
关键词：
nonlinear descriptor systems; state undecomposed; stabilization; H control; robust adaptive control; H-INFINITY CONTROL; HAMILTONIAN FUNCTION-METHOD; MULTIMACHINE POWER-SYSTEMS; EXCITATION CONTROL; SINGULAR SYSTEMS; ROBUST STABILIZATION; FEEDBACK CONTROL; STABILITY; EQUATION;
D O I：
10.1002/rnc.2790
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies control designs for a class of nonlinear descriptor systems under state undecomposed status and presents a number of new results on the stabilization, H control, and robust adaptive control. It is shown that under a suitable state feedback, two sufficient conditions of impulse-free can be established for the resulted closed-loop system. Using the established conditions, the stabilization problem is then discussed for the nonlinear descriptor system, and a stabilization control design procedure is presented; on the basis of which, an admissible H controller and an admissible robust adaptive controller are designed for the system with external disturbances and/or parametric uncertainties. Simulation results on a nonlinear descriptor circuit system show the efficiency of the controllers proposed in this paper. Copyright (c) 2012 John Wiley & Sons, Ltd.
引用
收藏
页码：695 / 708
页数：14
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