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New design method on memoryless H control for singular systems with delayed state and control using LMI. (English) Zbl 1063.93017
Summary: This note presents a new memoryless H 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 S.-S. Hung and 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 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:
93B36H -control
34A09Implicit equations, differential-algebraic equations
93C23Systems governed by functional-differential equations
15A39Linear inequalities of matrices
93B51Design techniques in systems theory