A Convex Lower Bound for the Real ${\bf l}_2$ Parametric Stability Margin of Linear Control Systems With Restricted Complexity Controllers
| Autor: | Antonio Vicino, Gianni Bianchini, P. Falugi, Alberto Tesi |
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| Rok vydání: | 2007 |
| Předmět: |
Mathematical optimization
restricted complexity controllers Rank (linear algebra) Linear system Linear matrix inequality Maximization Upper and lower bounds Convex optimization Computer Science Applications Control and Systems Engineering Margin (machine learning) parametric stability margin Convex optimization parametric stability margin restricted complexity controllers robust control Electrical and Electronic Engineering robust control Linear stability Mathematics |
| Zdroj: | IEEE Transactions on Automatic Control. 52:514-520 |
| ISSN: | 0018-9286 |
| Popis: | In this note the problem of restricted complexity stability margin maximization (RCSMM) for single-input-single-output (SISO) plants affected by rank one real perturbations is considered. This problem amounts to maximizing the real l2 parametric stability margin over an assigned class of restricted complexity controllers, which are described by rational transfer functions of fixed order with coefficients depending affinely on some free parameters. It is shown that the RCSMM problem, which is nonconvex in general, can be approached by means of convex optimization methods. Specifically, a lower bound of the stability margin, whose maximization can be accomplished via linear matrix inequality (LMI) techniques, is developed |
| Databáze: | OpenAIRE |
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