abstract
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This paper presents an approach for designing stable MIMO H∞ and H2 controllers by directly computing the norm-constrained stable transfer matrices Q in the H∞ and H2 suboptimal controller parameterizations. This is done by first converting the H2 and H∞ strong stabilization problems into some nonlinear unconstrained optimization problems through explicit parameterization of the norm-constrained Q%27s for any fixed order. Then, a two-stage numerical search is carried out by using a combination of a genetic algorithm and a quasi-Newton algorithm in order to reach an optimal solution. The effectiveness of the proposed algorithms is illustrated through some benchmark numerical examples. © 2003 Elsevier Science Ltd. All rights reserved.
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This paper presents an approach for designing stable MIMO H∞ and H2 controllers by directly computing the norm-constrained stable transfer matrices Q in the H∞ and H2 suboptimal controller parameterizations. This is done by first converting the H2 and H∞ strong stabilization problems into some nonlinear unconstrained optimization problems through explicit parameterization of the norm-constrained Q's for any fixed order. Then, a two-stage numerical search is carried out by using a combination of a genetic algorithm and a quasi-Newton algorithm in order to reach an optimal solution. The effectiveness of the proposed algorithms is illustrated through some benchmark numerical examples. © 2003 Elsevier Science Ltd. All rights reserved.
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