Unfragile Passive Control of Uncertain Sampling System

Article Preview

Abstract:

The unfragile passive control problem of a class of uncertain state-delay sampling system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile passive controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design. Index Terms - Uncertain State-delay Sampling System , Linear Matrix Inequility , Unfragile Passive Control .

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1170-1175

Citation:

Online since:

June 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] DUGARD L,VERRIEST E I. Stability and control of Time-delay Systems [M] Berlin: Springer,1998.

Google Scholar

[2] XU S,LAM J, YANG C. Quadratic stability and stabilization of uncertain linear discrete-time systems with state-delay [J]. Systems control Lett, 2001, vol. 43, pp:77-84.

DOI: 10.1016/s0167-6911(00)00113-4

Google Scholar

[3] YEE J S,YANG G H,WANG J L. Non-fragile guaranteed Cost control for discrete-time uncertain linear systems.[J]. Int J.Systems Sci, 2001, vol. 32, pp: 845-853.

DOI: 10.1080/00207720117595

Google Scholar

[4] WU Junfeng, WANG Qiang ,CHEN Shanben. Robust Stability for Sampled-Data Systems[J].Control Theory & Applications, 2001,vol. 18, pp: 99-102.

Google Scholar

[5] WU Junfeng, WANG Qiang, CHEN Shanben. Robust stability of sampling system for a class of non-structural perturation models[J]. JOURNAL OF HARBIN INSTITUTE OF TECHNOLOGY, 2001, vol. 33,pp: 681-685.

Google Scholar

[6] WU Junfeng, WANG Qiang , CHEN Shanben. Robust control of a class of sampled-data systems with structured uncertainty[J].Control and Decision, 2002, vol. 17, pp: 567-570.

Google Scholar

[7] WU Junfeng, LIU Shangwu, HUANG Libo. Robust State Feedback Control of Uncertain Data-Sampled System with Pole Constrain [J]. Journal of Nanjing University of Aeronautics & Astronautics, 2006, Vol. 38, pp: 1-4.

Google Scholar

[8] Keel L H , Bhattacharyya S P. Robust , fragile , or optimal [J]. IEEE Trans Automatic Control, 1997, Vol.42, pp: 2678-2683.

Google Scholar

[9] GUAN Xinping, WU Jing, LONG Chengnian. Resilient guaranteed cost controller design for uncertain time-delayed systems [J]. Control Theory & Applications, 2003,vol. 20, pp: 619-622.

Google Scholar

[10] WU Jun-feng , ZHANG Ming-jun , CHEN shan-ben . Robust stability for the perturbed sampled-data systems. [J]. Journal of Harbin Institute of Technology, 2006, Vol.13, pp: 707-710.

Google Scholar

[11] S.Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory. Philadelphia: SIAM 1994.

DOI: 10.1137/1.9781611970777

Google Scholar

[12] I. R. Petersen and C. V. Hollot. A Riccati equation approach to the stabilization of uncertain linear systems. Automatica, 22(4):397-411, 1986.

DOI: 10.1016/0005-1098(86)90045-2

Google Scholar