Title :
Parametric optimization of infinite-dimensional systems
Author_Institution :
Inst. of Automatics, Acad. of Min. & Metall., Cracow, Poland
Abstract :
The aim of this paper is to present an exact method of evaluating the quadratic performance index for infinite-dimensional systems. Our method relies on solving the Lyapunov operator equation with unbounded operators. For delay - differential systems of the neutral type an explicit construction of the solution to the Lyapunov operator equation is given. The results are illustrated by two examples of the determination of a classical controller setting. An approximation method of evaluating the quadratic performance index is also provided and compared with the exact method.
Keywords :
Lyapunov methods; approximation theory; delay-differential systems; multidimensional systems; performance index; quadratic programming; Lyapunov operator equation; approximation method; delay-differential systems; infinite-dimensional systems; neutral type; parametric optimization; quadratic performance index; unbounded operators; Approximation methods; Hafnium; Integral equations; Manganese; Optimization; Performance analysis; Power transmission lines; infinite-dimensional linear systems;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
