Title :
Optimal LQ control for N-D systems
Author :
Pillai, Harish K. ; Willems, Jan C.
Author_Institution :
Math. Inst., Univ. of Groningen, Groningen, Netherlands
fDate :
Aug. 31 1999-Sept. 3 1999
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;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
