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| Titel: |
An algorithm for robust performance tests based on frequency-dependent LMIs |
| Auteur: |
Correa, G. O. Sales, D. M. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 77 (2004) nr. 13 pagina's 1200-1211 |
| Jaar: |
2004-09-10 |
| Inhoud: |
In this paper, an algorithm is introduced for feasibility problems associated with frequency-dependent, linear matrix inequalities — these problems correspond to H2 or H∞ robust performance tests for a given controller, in the face of feedback perturbations. To this effect, an auxiliary H2 cost-functional is introduced and a sequence of H2 problems with a single linear constraint is considered in which the H2 cost-functional is kept unchanged while the linear constraints are iteratively modified. It is shown that, in each step, the auxiliary optimal solution moves closer (in the sense of a weighted quadratic norm) to the target feasible set. Conditions are also established under which the sequence of solutions to the auxiliary problems yields a solution to the original feasibility problem. The method is illustrated by a numerical example corresponding to a H∞ robust performance test for a multivariable system. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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