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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  0, Vol. 6 Issue (100): 87-93    DOI: 10.1631/jzus.2005.AS0087
Computer & Information Science     
Multi-objective robust controller synthesis for discrete-time systems with convex polytopic uncertain domain
ZHANG Yan-hu, YAN Wen-jun, LU Jian-ning, ZHAO Guang-zhou
Department of Systems Science and Engineering, Zhejiang University, Hangzhou 310027, China
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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.

Key words： Gl2 and GH2 performance      Multi-objective optimization      Robust controller synthesis      Parameter-dependent Lyapunov functions      Convex polytopic uncertain system     
Received: 11 January 2005     
CLC:  O436.1  
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ZHANG Yan-hu
YAN Wen-jun
LU Jian-ning
ZHAO Guang-zhou
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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. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 0, 6(100): 87-93.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.AS0087     OR     http://www.zjujournals.com/xueshu/zjus-a/Y0/V6/I100/87

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