DocumentCode
706594
Title
Optimal LQ control for N-D systems
Author
Pillai, Harish K. ; Willems, Jan C.
Author_Institution
Math. Inst., Univ. of Groningen, Groningen, Netherlands
fYear
1999
fDate
Aug. 31 1999-Sept. 3 1999
Firstpage
1582
Lastpage
1586
Abstract
In this paper, we make use of the behavioural approach to extend the optimal LQ-control problem to multidimensional (N-D) systems. We use the theory of Quadratic Differential Forms (QDFs) to define cost functional on N-D systems and derive conditions that have to be satisfied by these QDFs to allow an optimal behaviour. We show how the optimal behaviour is dependent only on the QDF and derive conditions for the existence of optimal controllers for a given plant. We also show how to obtain an optimal controller for a controllable system.
Keywords
controllability; linear quadratic control; multivariable systems; N-D systems; QDF; multidimensional systems; optimal LQ-control problem; quadratic differential forms; Image representation; Kernel; Optimal control; Performance analysis; Polynomials; Trajectory; N-D systems; behavioural systems; optimal control; partial differential equations; quadratic differential forms;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 1999 European
Conference_Location
Karlsruhe
Print_ISBN
978-3-9524173-5-5
Type
conf
Filename
7099538
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