Robust Stabilization of a Class of Nonlinear Descriptor Systems
This paper studies the stabilization and H∞ control of a class of nonlinear descriptor systems, and presents many new results on the control designs by using the dissipative matrix method. Based on the structural characteristic of the nonlinear descriptor system, an equivalent nonlinear dissipative differential-algebraic system is obtained by a suitable state feedback, and two sufficient conditions of impulse-free are given for the resulted closed-loop descriptor system. With the feedback dissipative form, the stabilization problem is then discussed for the nonlinear descriptor system, and a stabilization control design procedure is presented, based on which an admissible H∞ controller is designed for the system with external disturbances. Simulation results on nonlinear descriptor circuit systems show the efficiency of the controllers proposed in this paper.
Nonlinear Descriptor Systems Robust Stabilization Dissipative Matrix
SUN Liying WANG Yuzhen
School of Mathematics, University of Jinan, Jinan 250022, P. R. China School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1424-1429
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）