DocumentCode
697495
Title
Liapunov and Riccati equations for practical stability
Author
Hinrichsen, D. ; Plischke, E. ; Pritchard, A.J.
Author_Institution
Inst. fur Dynamische Syst., Univ. Bremen, Bremen, Germany
fYear
2001
fDate
4-7 Sept. 2001
Firstpage
2883
Lastpage
2888
Abstract
In this note we use Liapunov and Riccati equations to derive bounds for the transient behaviour of a time-invariant linear system. A concept of "acceptable stability behaviour" is introduced and a sufficient condition for achieving it by time-varying linear state feedback is derived. We also briefly discuss the robustness of acceptable stability behaviour and formulate a corresponding robust control problem.
Keywords
Lyapunov methods; Riccati equations; linear systems; robust control; state feedback; time-varying systems; Liapunov equations; Riccati equations; acceptable stability behaviour; robust control problem; sufficient condition; time-invariant linear system; time-varying linear state feedback; transient behaviour; Asymptotic stability; Eigenvalues and eigenfunctions; Linear systems; Riccati equations; Transient analysis; Transient behaviour; exponential bounds; parameter uncertainty; robust control; robust stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2001 European
Conference_Location
Porto
Print_ISBN
978-3-9524173-6-2
Type
conf
Filename
7076370
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