Title
Suboptimal Norm Based Robust Control Of Constrained Systems With An H∞ Cost
Abstract
The authors propose a framework that takes explicitly into account both time-domain constraints and model uncertainty. They propose an approach to time-domain constraints using an operator norm induced by the constraints to assess the stability properties of a family of systems. Specifically, they introduce a robustness measure that indicates how well the family of systems under consideration satisfies a given set of constraints. They propose a synthesis procedure based upon maximization of this robustness measure over the set of internally stable plants that satisfy additional frequency-domain specifications. The resulting optimization problem is exactly solved using a two-step approach based upon solving a constrained finite-dimensional convex optimization problem, followed by the solution of an unconstrained Nehari approximation problem. An example shows that the technique yields significant improvement over a maximum-robustness-type design.
Publication Date
12-1-1991
Publication Title
Proceedings of the IEEE Conference on Decision and Control
Volume
3
Number of Pages
2280-2286
Document Type
Article; Proceedings Paper
Identifier
scopus
Personal Identifier
scopus
Copyright Status
Unknown
Socpus ID
0026396607 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0026396607
STARS Citation
Sznaier, M. and Sideris, A., "Suboptimal Norm Based Robust Control Of Constrained Systems With An H∞ Cost" (1991). Scopus Export 1990s. 1190.
https://stars.library.ucf.edu/scopus1990/1190