| The linear matrix inequality's application to the control theory is mainly studied. In this paper the filter design problem in control theory is changed into solving of a linear matrix inequality, and the filter design problem with satisfying varies of performance targets is converged into solving problem of the linear matrix inequalities. The uniform formula of the filter design satisfying varies of performance targets is obtained. Obtaining an aggregate is explained in theory. Some typical filter design examples using above-mentioned method by the linear matrix inequalities tool-box of MATLAB is computed, and the result states there really exists such an aggregate. |
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