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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.9 P.1114-1123

http://doi.org/10.1631/jzus.2004.1114


Robust H output feedback control for a class of uncertain Lur'e systems with time-delays


Author(s):  CAO Feng-wen, LU Ren-quan, SU Hong-ye, CHU Jian

Affiliation(s):  Department of Computer and Electron, Suzhou Vocational University, Suzhou 215011, China; more

Corresponding email(s):   caofw@263.sina.com, rqlu@iipc.zju.edu.cn

Key Words:  Lur&rsquo, e systems, Robust H&infin, control, Linear Matrix Inequality (LMI)


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CAO Feng-wen, LU Ren-quan, SU Hong-ye, CHU Jian. Robust H output feedback control for a class of uncertain Lur'e systems with time-delays[J]. Journal of Zhejiang University Science A, 2004, 5(9): 1114-1123.

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T1 - Robust H output feedback control for a class of uncertain Lur'e systems with time-delays
A1 - CAO Feng-wen
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2004.1114


Abstract: 
In this work, the analysis of robust stability and design of robust H output feedback controllers for a class of Lur'e systems with both time-delays and parameter uncertainties were studied. A robust H output feedback controller based on Linear Matrix Inequalities (LMIs) was developed to guarantee the robust stability and H performance of the resultant closed-loop system. The presented design approach is based on the application of descriptor model transformation and Park’s inequality for the bounding of cross terms and is expected to be less conservative compared to reported design methods. Finally, illustrative examples are advanced to demonstrate the superiority of the obtained method.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V., 1994. Linear Matrix Inequalities in Systems and Control Theory. SIAM, Philadelphia, PA.

[2] Choi, H.H., Chung, M.J., 1997. An LMI approach to H( controller design for linear time-delay systems. Automatica, 33(4):737-739.

[3] Fridman, E., 2001. New Lyapurov-Krasovskii functionals for stability of linear retarded and neutral type systems. Syst. Control Lett., 39(2):309-319.

[4] Fridman, E., Shaked, U., 2001. A new H( filter design for linear time-delay systems. IEEE Trans. Signal Processing, 49(11):2893-2843.

[5] Fridman, E., Shaked, U., Xie, L., 2003. Robust H( filtering of linear systems with time-varying delay. IEEE Trans. Automat. Control, 48(1):159-165.

[6] Fu, M., de Souza, C.E., Xie, L., 1992. H( estimation for uncertain systems. Int. J. Robust Nonlinear Control, 2(1):87-105.

[7] Guo, L., 2002. H( output feedback control for delay systems with nonlinear and parametric uncertainties. IEE Proc. Control Theory Appl., 149(1):226-236.

[8] Hale, J.K., 1977. Theory of Functional Differential Equation. Springer-Verlag, New York.

[9] Hale, J.K., 1993. Introduction to Functional Differential Equations. Springer-Verlag, New York.

[10] Su, H.Y., Wang, J.C., Yu, L., Chu, J., 1997. Robust Memoryless H( Controller Design for A Class of Time-varying Uncertain Linear Time-delay Systems. Proc. ACC’97, Albuquerque NM, USA, p.3662-3663.

[11] Yu, L., Chen, G.D., 1997. Memoryless stabilization of uncertain linear systems with time-varying state and control delays. Advan. Mod. Ana., Series C, 178(1):27-34.

[12] Yu, L., Chu, J., 1999. An LMI approach to guaranteed cost control of linear uncertain time-delay systems. Automatica, 35(6):1155-1160.

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