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Uncertain feedback loops and robustness in general linear systems

โœ Scribed by Gilead Tadmor

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
312 KB
Volume
27
Category
Article
ISSN
0005-1098

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โœฆ Synopsis

Our main results are a Riccati equation-based robust stability criterion and a robust stabilization scheme in systems with uncertain loop-gain. These issues are considered in the general framework of time--varying and possibly infinite dimensional linear systems. The current analysis is consequential to the recent development of a time-domain/variational approach to H. control. The report includes also remarks on the trade-off between the type of uniform stability required (Lyapunov vs exponential) and the type of perturbations considered (real vs complex), and on the small gain criterion in time-varying systems.

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