Nonfragile guaranteed cost control for Delta operator-formulated uncertain time-delay systems

被引：2

作者：

Lin R. ^{[1
]}

Chen S. ^{[1
]}

Ding X. ^{[1
]}

机构：

[1] College of Electrical Engineering and Automation, Fuzhou University

来源：

Journal of Control Theory and Applications | 2010年 / 8卷 / 02期

关键词：

Delta operator; Guaranteed cost control; LMI; Nonfragile control; Time-delay system;

D O I：

10.1007/s11768-010-8082-6

中图分类号：

学科分类号：

摘要：

With consideration that the controller parameters may vary from the designed value when the controller is realized, based on Lyapunov stability theory, a design method of nonfragile guaranteed cost control for a class of Delta operator-formulated uncertain time-delay systems is studied. A sufficient condition for the existence of the nonfragile guaranteed cost controller is given. A numeric example is then given to illustrate the effectiveness and the feasibility of the designed method. The results show that even if the parameters of the designed controller are of variations, the closed-loop system is still asymptotically stable and the super value of the cost function can also be obtained, while the closed-loop system will be unstable if the variations of the controller parameters are not considered when the controller is designed. The nonfragile guaranteed cost controller derived from the traditional shift operator method may cause the closed-loop system to be unstable, while the nonfragile guaranteed cost controller based on Delta operator method can avoid the unstable problem of the closed-loop system. © 2010 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：233 / 238

页数：5

共 17 条

[11]

Lien C., Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input[J], Chaos, Solitons and Fractals, 31, 4, pp. 889-899, (2007)

[12]

Xiong J., Zhang Q., Optimal non-fragile guaranteed cost control for time-delay systems with structured uncertainties[J], Control Theory & Applications, 22, 3, pp. 503-506, (2005)

[13]

Ying P., Yu L., Zheng K., T-S model-based non-fragile guaranteed cost fuzzy control for nonlinear time-delay systems[J], Control Theory & Applications, 25, 13, pp. 75-80, (2008)

[14]

Zhang D., Wu J., Robust H<sub>∞</sub> filtering for Delta operator formulated systems with circular pole and error variance constraints[J], Control and Decision, 19, 1, pp. 12-16, (2004)

[15]

Liu X., Liu H., Guaranteed cost filtering for a class of Delta-operator uncertain time delay systems[J], Control and Decision., 22, 3, pp. 322-325, (2007)

[16]

Lin R., Non-Fragile Control Based on Delta Operator and Its Application to Permanent Magnet Linear Synchronous Motor[D], (2007)

[17]

Yu L., Robust Control-LMI Approach[M], (2002)

← 1 2 →