Z. Xiang, Q. Chen, and W. Hu
Singular systems, delay systems, parameter uncertainties, linearmatrix inequality (LMI), mixed H2/H∞ control
This paper considers the problem of the mixed H2/H∞ control of uncertain continuous singular systems with state time delay. We present a kind of H2/H∞ mixed controller that can minimize the H2 performance measure satisfying a prescribed H∞ norm bounded on the resulting closed-loop systems, and guarantee that the systems is regular, impulse free, and stable. The sufficient conditions for the existence of controller are presented using a set of linear matrix inequalities (LMIs), and all solutions including controller gain and upper bound of performance measure are also obtained simultaneously. To illustrate the effectiveness of the given scheme, two numerical examples are given.
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