Robust H∞ control for uncertain rectangular descriptor system by dynamic compensator

被引:0
作者
机构
[1] College of Automation, Harbin Engineering University
来源
Shao, Q. (sqw0521@126.com) | 1600年 / Binary Information Press, P.O. Box 162, Bethel, CT 06801-0162, United States卷 / 09期
关键词
Descriptor system; Dynamic compensator; Linear matrix inequality(LMI); Robust H[!sub]∞[!/sub] control; Uncertain rectangular descriptor system;
D O I
10.12733/jcis6002
中图分类号
学科分类号
摘要
The problem of robust H∞ control for the uncertain rectangular descriptor system by dynamic compensation is considered. The time-varying parametric uncertainty is assumed to be norm-bounded. By using Lyapunov function methods, a sufficient condition for the existence of a dynamic compensator with proper dynamic order, such that the closed-loop system is admissible and robust H∞ performances are satisfied, is derived. Then the sufficient condition of solvability of the robust H∞ control problem is presented in terms of linear matrix inequality. Finally, the effectiveness of the developed approach for uncertain rectangular descriptor system is illustrated by a numerical example. © 2013 by Binary Information Press.
引用
收藏
页码:4639 / 4646
页数:7
相关论文
共 9 条
[1]  
Yang X.R., Zhang R.Z., Zhang X., Regulation of rectangular descriptor systems with constrained states and controls, Proc. of 22nd Chinese Control and Decision Conference, pp. 1005-1010, (2010)
[2]  
Hou M., Controllability and elimination of impulsive modes in descriptor systems, IEEE Trans on Automatic Control, 49, 10, pp. 1723-1729, (2004)
[3]  
Zhang G.S., Liu L., Linear quadratic optimal control based on dynamic compensation for rectangular descriptor systems, Acta Automatica Sinica, 36, 12, pp. 1752-1757, (2010)
[4]  
Li Y.F., Yang D.G., Robust H<sub>∞</sub> control for a class of nonlinear singular system with uncertain parameters, Journal of Systems Engineering and Electronics, 20, 1, pp. 136-140, (2009)
[5]  
Lin C., Wang Q.G., Lee T.H., Robust normalization and stabilization of uncertain descriptor systems with norm-bounded perturbations, IEEE Trans. on Automatic Control, 50, 4, pp. 515-520, (2005)
[6]  
Liang B., Duan G.R., Robust H<sub>∞</sub> fault-tolerant control for uncertain descriptor systems by dynamical compensators, Journal of Systems Engineering and Electronics, 27, 12, pp. 2075-2078, (2005)
[7]  
Liu F., He F., Yao Y., Linear matrix inequality-based robust H<sub>∞</sub> control of sampled-data systems control of sampled-data systems, IET Control Theory Appl., 2, 4, pp. 253-260, (2008)
[8]  
Lin C., Wang Q.G., Lee T.H., Robust normalization and stabilization of uncertain descriptor systems with norm-bounded perturbations, IEEE Trans. on Automatic Control, 50, 4, pp. 515-520, (2005)
[9]  
Xie L., de Souza C.E., Robust H<sub>∞</sub> control for linear systems with norm-bounded time-varying uncertainty, IEEE Trans. on Automatic Control, 37, 8, pp. 1188-1191, (1992)