Robustℓ1performance analysis for linear systems with parametric uncertainties

Autor:	Jochen M. Rieber, Frank Allgöwer, Carsten W. Scherer
Rok vydání:	2008
Předmět:	Semidefinite programming Matrix (mathematics) Rational dependence Discrete time and continuous time Control and Systems Engineering Control theory Computation Linear system Robust control Computer Science Applications Mathematics Parametric statistics
Zdroj:	International Journal of Control. 81:851-864
ISSN:	1366-5820 0020-7179
DOI:	10.1080/00207170701730451
Popis:	In this contribution, a computational approach for analysing the robust l∞-gain (or the robust l1 performance) of uncertain linear systems is developed. In particular, the system's state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result.
Databáze:	OpenAIRE
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