Title
Robustness issues in H2 optimal control of unstable plants
Abstract
This paper presents a robustness analysis of the optimal solution of the step tracking problem in a one-degree of freedom control architecture, for the discrete-time multivariable (MIMO) case. It is shown that the resulting closed loop becomes arbitrarily fragile, i.e. the sensitivity peak becomes arbitrarily large, for certain reference directions. The cause of this problem is that the optimal controller depends on the reference direction. The paper shows that this dependence can be eliminated with an alternative formulation of the optimal problem where the cost is averaged over all reference directions.
Year
DOI
Venue
2006
10.1016/j.sysconle.2005.06.003
Systems & Control Letters
Keywords
Field
DocType
MIMO discrete time systems,Unstable systems,Optimal control,Performance limitation,Robustness,Tracking
Mathematical optimization,Control theory,Optimal control,Multivariable calculus,Control theory,MIMO,Robustness (computer science),Arbitrarily large,Mathematics
Journal
Volume
Issue
ISSN
55
2
0167-6911
Citations 
PageRank 
References 
4
0.83
10
Authors
2
Name
Order
Citations
PageRank
Mario E. Salgado1398.35
Eduardo I. Silva219717.48