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| Titel: |
Quadratic guaranteed cost control for uncertain dissipative models: a Riccati equation approach |
| Auteur: |
Arzelier, D. Peaucelle, D. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 73 (2000) nr. 9 pagina's 762-775 |
| Jaar: |
2000-06-15 |
| Inhoud: |
The problem of H2 guaranteed cost control and dynamic output-feedback for linear uncertain systems with dissipative uncertainty is addressed. The problem of robust H2 synthesis has been open for the last two decades. In this paper, a problem of H2 quadratic guaranteed cost control is defined for uncertain systems affected by LTI quadratic dissipative model uncertainty. A necessary and sufficient condition of quadratic stabilizability via output-feedback is derived in terms of two coupled parameter-dependent Riccati equations. Then, a method is given to design controllers which minimize an upper bound for the worst-case H2 norm of the uncertain system. It therefore assesses a guaranteed level of robust performance where in literature, only nominal performance is ensured in most cases. A reliable numerical iterative procedure based on Riccati solvers and one-dimensional convex parameter search is provided. With this uncertainty modelling and the developed numerical procedure, we hope to reduce the usual conservatism of quadratic designs. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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