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Received: 2004-12-27

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.7 P.707~710

http://doi.org/10.1631/jzus.2005.A0707


A new digital approach to design multivariable robust optimal control systems


Author(s):  LIU Xiang, CHEN Lin, SUN You-xian

Affiliation(s):  National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   0099422@fa.zju.edu.cn

Key Words:  l&infin, /H&infin, , Dynamic decoupling, Normal matrix, Row characteristic function


LIU Xiang, CHEN Lin, SUN You-xian. A new digital approach to design multivariable robust optimal control systems[J]. Journal of Zhejiang University Science A, 2005, 6(7): 707~710.

@article{title="A new digital approach to design multivariable robust optimal control systems",
author="LIU Xiang, CHEN Lin, SUN You-xian",
journal="Journal of Zhejiang University Science A",
volume="6",
number="7",
pages="707~710",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0707"
}

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%T A new digital approach to design multivariable robust optimal control systems
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%A SUN You-xian
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%P 707~710
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0707

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T1 - A new digital approach to design multivariable robust optimal control systems
A1 - LIU Xiang
A1 - CHEN Lin
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J0 - Journal of Zhejiang University Science A
VL - 6
IS - 7
SP - 707
EP - 710
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Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0707


Abstract: 
This paper presents a new design of robust optimal controller for multivariable system. The row characteristic functions of a linear multivariable system and dynamic decoupling of its equivalent system, were applied to change the transfer function matrix of a closed-loop system into a normal function matrix, so that robust H optimal stability is guaranteed. Furthermore, for the decoupled equivalent control system the l&infin; optimization approach is used to have the closed-loop system embody optimal time domain indexes. A successful application on a heater control system verified the excellence of the new control scheme.

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

Reference

[1] Dahleh, M.A., Pearson, J.B., 1987. l1 optimal feedback controllers for MIMO discrete-time systems. IEEE Trans. Auto. Control, 32(4):314-322.

[2] Dahleh, M.A., Pearson, J.B., 1988. Optimal rejection of persistent disturbances, robust stability, and mixed sensitivity minimization. IEEE Trans. Auto. Control, 33:722-731.

[3] Dias, B.I.J., Dahleh, M.A., 1993. Minimization of the maximum peak-to-peak gain: The general multiblock problem. IEEE Trans. Auto. Control, 38(10):1459-1482.

[4] Gao, D.L., Wu, Q., 1998. Multivariable Frequency Domain Control Theory. Tsinghua University Press, Beijing, p.199-201 (in Chinese).

[5] Hung, Y.S., MacFarlane, A.G.J., 1982. Multivariable Feedback: A Quasi-Classical Approach. Springer-Verlag.

[6] Kaileth, T., 1980. Linear Systems. Englewood Cliffs. Prentice-hall, N. J.

[7] Liu, X., Sun, Y.X., 2000. Robust stabilizing controller design for optimal dynamic performance indexes. Control and Design, 15(1):11-14 (in Chinese).

[8] Liu, X., Shen, G.J., Chen, L., Sun, Y.X., 2004. Multivariable Robust Digital Control: An Extended Schur Decomposition Approach. Proceedings of the 5th World Congress on Intelligent Control and Automation, p.519-521.

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