DocumentCode
807378
Title
Singular perturbation of linear regulators: Basic theorems
Author
Kokotovic, Petar V. ; Yackel, Richard A.
Author_Institution
University of Illinois, Urbana, IL, USA
Volume
17
Issue
1
fYear
1972
fDate
2/1/1972 12:00:00 AM
Firstpage
29
Lastpage
37
Abstract
The behavior of the solution of the Riccati equation for the linear regulator problem with a parameter whose perturbation changes the order of the system is analyzed. Sufficient conditions are given under which the solution of the original problem tends to the solution of a low-order problem. This result can be used for the decomposition of a high-order problem into two low-order problems.
Keywords
Controllability; Differential Riccati equations; Linear systems, time-invariant continuous-time; Observability; Optimal regulators; Perturbation methods; Riccati equations, differential; Asymptotic stability; Control systems; Differential equations; Helium; Linear systems; Performance analysis; Regulators; Riccati equations;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1972.1099851
Filename
1099851
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