Robust control of linear uncertain systems with regional pole and variance constraints |
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Authors: | Li Yu |
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Affiliation: | 1. Alphatech Inc 2 Burlington Executive Center , 111 Middlesex Turnpike, Burlington, Massachusetts, 01803, U.S.A;2. Laboratory for Information and Decision Systems Massachusetts Institute of Technology , Room 35-316, Cambridge, Massachusetts, 02139, U.S.A |
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Abstract: | This paper concerns the design problem of state feedback controllers which guarantee the closed-loop poles within a specified disc and steady-state variances to be less than a set of given upper bounds for linear systems with norm-bounded parameter uncertainties. Using the linear matrix inequality approach, the existence conditions of such controllers are derived. A parametrized representation of the desired controllers is presented in terms of the feasible solutions to a certain linear matrix inequality system. Based on this, a solution to the minimum-effect guaranteed-performance design problem is presented in the sense that the required control effort is minimized subject to performance constraints. |
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