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CLC number: O436.1

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Received: 2005-01-11

Revision Accepted: 2005-05-31

Crosschecked: 0000-00-00

Cited: 17

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.100 P.87~93

10.1631/jzus.2005.AS0087


Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain


Author(s):  ZHANG Yan-hu, YAN Wen-jun, LU Jian-ning, ZHAO Guang-zhou

Affiliation(s):  Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   eeeauto@126.com, yanwenjun@zju.edu.cn

Key Words:  Gl2 and GH2 performance, Multi-objective optimization, Robust controller synthesis, Parameter-dependent Lyapunov functions, Convex polytopic uncertain system


ZHANG Yan-hu, YAN Wen-jun, LU Jian-ning, ZHAO Guang-zhou. Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain[J]. Journal of Zhejiang University Science A, 2005, 6(100): 87~93.

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author="ZHANG Yan-hu, YAN Wen-jun, LU Jian-ning, ZHAO Guang-zhou",
journal="Journal of Zhejiang University Science A",
volume="6",
number="100",
pages="87~93",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.AS0087"
}

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%T Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain
%A ZHANG Yan-hu
%A YAN Wen-jun
%A LU Jian-ning
%A ZHAO Guang-zhou
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 100
%P 87~93
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.AS0087

TY - JOUR
T1 - Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain
A1 - ZHANG Yan-hu
A1 - YAN Wen-jun
A1 - LU Jian-ning
A1 - ZHAO Guang-zhou
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 100
SP - 87
EP - 93
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2005.AS0087


Abstract: 
Multi-objective robust state-feedback controller synthesis problems for linear discrete-time uncertain systems are addressed. Based on parameter-dependent Lyapunov functions, the Gl2 and GH2 norm expressed in terms of LMI (Linear Matrix Inequality) characterizations are further generalized to cope with the robust analysis for convex polytopic uncertain system. Robust state-feedback controller synthesis conditions are also derived for this class of uncertain systems. Using the above results, multi-objective state-feedback controller synthesis procedures which involve the LMI optimization technique are developed and less conservative than the existing one. An illustrative example verified the validity of the approach.

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

Reference

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[2] de Oliverira, M.C., Bernussou, J., Geromel, J.C., 1999a. A new discrete time robust stability condition. Systems and Control Letters, 37:261-265.

[3] de Oliverira, M.C., Geromel, J.C., Bernussou, J., 1999b. An LMI Optimization Approach to Multiobjective Controller Design for Discrete-time Systems. Proceedings of the 38th Conference on Decision and Control. Phoenix, Arizona, p.3611-3616.

[4] de Oliverira, M.C., Geromel, J.C., Bernussou, J., 2002. Extended H2 and H

[5] Mibar, H., Kochbatt, A., Zaafouri, A., Ksouri, M., 2002. An LMI Approach to H2/H

[6] Scherer, C., Gahinet, P., CHilali, M., 1997. Multiobjective output feedback control via LMI optimization. IEEE Tran. on Automatic Control, 42:896-911.

[7] Wang, J., Wilson, D.A., 2001. Mixed Gl2/H2/GH2 control with pole placement and its application to vehicle suspension systems. International Journal of Control, 74:1353-1369.

[8] Yan, W.J., Zhang, S.L., 2004. Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems. Journal of Zhejiang University SCIENCE, 5(7):827-834.

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