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Zbl 1063.93017
Kim, Jong Hae
New design method on memoryless $H_{\infty}$ control for singular systems with delayed state and control using LMI. (English)
[J] J. Franklin Inst. 342, No. 3, 321-327 (2005). ISSN 0016-0032; ISSN 1879-2693/e

Summary: This note presents a new memoryless $H_{\infty}$ controller design method for singular systems with delayed state and control by the linear matrix inequality (LMI) technique. Since lemma and theorem in the paper by {\it S.-S. Hung} and {\it T.-T. Lee} [J. Franklin Inst. 336, 911--923 (1999; Zbl 0979.93031)] are incorrect, the errors are pointed out. And then we present the new state feedback $H_{\infty}$ controller design algorithm for singular systems with delayed state and control by the LMI approach. All solutions including controller gain can be obtained simultaneously because the presented condition is an LMI regarding all variables.

MSC 2000:: *93B36 $H^\infty$-control
34A09 Implicit equations
93C23 Systems governed by functional-differential equations
15A39 Linear inequalities
93B51 Design techniques in systems theory

Keywords: Singular system; $H_{\infty}$ control; Time delay; Linear matrix inequality

Citations: Zbl 0979.93031

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