Abstract
An exact condition for uniform stabilization and disturbance attenuation for switched linear systems is given in the discrete-time domain via the union of an increasing family of linear matrix inequality conditions. Associated with each Markovian jump linear system is a switched linear system, so we obtain a necessary and sufficient condition for almost sure uniform stabilization and disturbance attenuation for Markovian jump linear systems as well. The results lead to semidefinite programming - based controller synthesis techniques, from which optimal finite-path-dependent linear dynamic output feedback controllers arise naturally. In particular, under the notion of path-by-path optimal disturbance attenuation, finite-path-dependent controllers can outperform the usual modedependent ones.
Original language | English (US) |
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Pages (from-to) | 1329-1358 |
Number of pages | 30 |
Journal | SIAM Journal on Control and Optimization |
Volume | 45 |
Issue number | 4 |
DOIs | |
State | Published - 2006 |
Keywords
- Discrete linear inclusions
- Dynamic output feedback
- H control
- Linear matrix inequalities
- Linear time-varying systems
- Semidefinite programming
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics