Non-fragile guaranteed cost control for networked control systems under variable-period sampling

被引：0
作者：
Yu S.-Q. [1 ,2 ]
Li J.-M. [1 ]
机构：
[1] School of Science, Xidian University
[2] School of Statistics, Xi'an University of Finance and Economics
来源：
Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics | 2011年 / 33卷 / 04期
关键词：
Guaranteed cost control; Linear matrix inequality; Networked control system; Non-fragile; Variable-period sampling;
D O I：
10.3969/j.issn.1001-506X.2011.04.29
中图分类号：
学科分类号：
摘要：
The problem of non-fragile guaranteed cost control for a class of nonlinear networked control systems with random delay and controller gain disturbance is considered. Based on variable-period sampling approach, the networked control system is modeled as a nonlinear Markov jumping system. A sufficient condition is given so that the closed-loop system is asymptotically stable in the mean square via Lyapunov stability theory. By making use of the linear matrix inequality method, a non-fragile state feedback controller is designed, and the closed-loop energy function value is not more than a specified upper bound under this controller. Finally, an example is presented to illustrate the effectiveness of the proposed method.
引用
收藏
页码：856 / 861
页数：5
相关论文
共 12 条
[1]  
Halevi Y., Ray A., Integrated communication and control systems: Part I-analysis, ASME Journal of Dynamic Systems Measurement and Control, 110, 4, pp. 367-373, (1988)
[2]  
Walsh G.C., Beldiman O., Bushnell L.G., Asymptotic behavior of nonlinear networked control systems, IEEE Trans. on Automatic Control, 46, 7, pp. 1093-1097, (2001)
[3]  
Zhang W., Branicky M.S., Phillips S.M., Stability of networked control systems, IEEE Control System Magazine, 21, 1, pp. 84-99, (2001)
[4]  
Li J.G., Yuan J.Q., Lu J.G., Observer-based H<sub>∞</sub> control for networked nonlinear systems with random packet losses, ISA Transactions, 49, 1, pp. 39-46, (2010)
[5]  
Chu H.Y., Fei S.M., Yue D., Quantized guaranteed cost control for T-S fuzzy nonlinear networked control systems, Control and Decision, 25, 1, pp. 31-42, (2010)
[6]  
Tang G.Y., Zhang Y., Disturbance rejection for a class of uncertain nonlinear networked control systems, Control and Decision, 23, 9, pp. 1055-1059, (2008)
[7]  
Gao J.F., Su H.Y., Ji X.F., Et al., Robust stabilization for a class of nonlinear networked control systems, Journal of Control Theory and Applications, 6, 3, pp. 300-304, (2008)
[8]  
Wang Y., Ji Z.C., Xie L.B., Et al., A dynamic-scheduling-based design approach for networked control systems, Information and Control, 37, 1, pp. 74-80, (2008)
[9]  
Wang Y.L., Yang G.H., Network-based H<sub>∞</sub> control of systems with packet dropout and time-varying sampling period, Proc. of the American Control Conference, pp. 4973-4978, (2008)
[10]  
Li X., Wu X.B., Guaranteed cost fault-tolerant controller design of networked control systems under variable-period sampling, Information Technology Journal, 8, 4, pp. 537-543, (2009)
12