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ArticleOriginal scientific text

Title

Infinite dimensional uncertain dynamic systems on Banach spaces and their optimal output feedback control

Authors 1

Affiliations

  1. University of Ottawa, EECS, 606 Col. Bye Hall, 800 King Edward Street, Ottawa, Ontario, Canada

Abstract

In this paper we consider a class of partially observed semilinear dynamic systems on infinite dimensional Banach spaces subject to dynamic and measurement uncertainty. The problem is to find an output feedback control law, an operator valued function, that minimizes the maximum risk. We present a result on the existence of an optimal (output feedback) operator valued function in the presence of uncertainty in the system as well as measurement. We also consider uncertain stochastic systems and present similar results on the question of existence of optimal feedback laws.

Keywords

ENG
partially observed, uncertain systems, stochastic systems, operator valued functions, feedback operators, existence of optimal operators in the presence of uncertainty

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2015/35/1
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Pages:
65-87
Main language of publication
English
Received
2015-03-17
Published
2015

DOI: 10.7151/dmdico.1166

Exact and natural sciences