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Received: 2003-07-10
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Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems
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YAN Wen-jun, ZHANG Sen-lin. Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems[J]. Journal of Zhejiang University Science A, 2004, 5(7): 827-834.
@article{title="Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems",
author="YAN Wen-jun, ZHANG Sen-lin",
journal="Journal of Zhejiang University Science A",
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pages="827-834",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0827"
}
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T1 - Mixed Gl2/GH2 multi-channel multi-objective control synthesis for discrete time systems
A1 - YAN Wen-jun
A1 - ZHANG Sen-lin
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2004.0827
Abstract: This paper proposes a new approach for multi-objective robust control. The approach extends the standard generalized l2(Gl2) and generalized H2(GH2) conditions to a set of new linear matrix inequality (LMI) constraints based on a new stability condition. A technique for variable parameterization is introduced to the multi-objective control problem to preserve the linearity of the synthesis variables. Consequently, the multi-channel multi-objective mixed Gl2/GH2control problem can be solved less conservatively using computationally tractable algorithms developed in the paper.
[1] Apkarian, P., Pellanda, P.C., Tuan, H.D., 2002. MixedH2/H
[2] Boyd, S.P., El Ghaoui, L., Feron, E., Balakrishnan, V., 1994. Linear Matrix Inequalities in System and Control Theory.In: Studies in Applied Mathematics. PA: SIAM, Philadephia.
[3] Chilali, M., Gahinet, P., 1996.H
[4] D'Andrea, R., 1999. Generalisedl2synthesis.IEEE Tran. on Automatic Control,44:1145-1156.
[5] de Oliverira, M.C., Bernussou, J., Geromel, J.C., 1999a. A new discrete time robust stability condition.Systems and Control Letters,37:261-265.
[6] 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.
[7] de Oliverira, M.C., Geromel, J.C., Bernussou, J., 2002. ExtendedH2andH
[8] Gahinet, P., Laub, A.J., Chilali, M., 1995. LMI Control Toolbox, for Use with MATLAB. The Math Works Inc.
[9] Geromel, J.C., de Oliverira, M.C., Hsu, L., 1998. LMI characterization of structure and robust stability.Linear Algera Appl.,285:69-80.
[10] Masubuchi, I., Ohara, A., Suda, N., 1998. LMI-based controller sysnthesis: A unified formulation and solution.Int. Journal of Robust and Nonlinear Control,8:669-686.
[11] Rotea, M.A., 1993. The generalisedH2control problem.Automatic,29:373-385.
[12] Scherer, C., Gahinet, P., CHilali, M., 1997. Multiobjective output feedback control via LMI optimization.IEEE Tran. on Automatic Control,42:896-911.
[13] Skogestad, S., Postlethwaite, I., 1996. Multivariable Feed-back Control Analysis and Design. John Willy & Sons, Baffins Lane, Chichester, England.
[14] Wang, J., Wilson, D.A., 2001. Mixed Gl2/H2/GH2control with pole placement and its application to vehicle suspension systems.International Journal of Control,74:1353-1369.
[15] Yan, W.J., Cao, Y., 2002a. A mixed Gl2/GH2control with pole placement via LMI optimization inG-shaping paradigm. Submitted toAutomatic.
[16] Yan, W.J., Cao, Y., 2002b. Multi-objective robust control of an evaporation system. Accepted by ADCHM'2003.
[17] Yedavalli, R.K., 1993. Linear-quadratic control with stability degree constrain.Systems & Control Letters,21:261-265.
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