Kharitonov-like theorems for robust performance of interval systems |
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Authors: | Long Wang |
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Affiliation: | Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China |
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Abstract: | The sensitivity function of a control system is an important concept in performance analysis, classical filter design as well as modern robust H∞ control. For an interval system, we prove that the maximal H∞ norm of its sensitivity function is achieved at twelve (out of sixteen) Kharitonov vertices. Similar Kharitonov-like results are established for the complementary sensitivity function and strict positive realness of interval systems. These results are useful in robust performance analysis and H∞ control design for dynamic systems under parametric perturbations. |
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Keywords: | H&infin control Uncertainties Robustness analysis Kharitonov's theorem Interval systems Sensitivity functions Complementary sensitivity functions Strict positive realness |
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