Title :
On the design of finite dimensional stabilizing compensators for infinite dimensional feedback-systems via semi-infinite optimization
Author :
Harn, Ywh-Pyng ; Polak, Elijah
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Abstract :
In a recent paper, E. Polak and T.L. Wuu presented a set of easily solvable, differentiable inequalities which are related to the classical Nyquist stability criterion and which constitute a necessary and sufficient condition of stability for finite-dimensional systems. It is shown that a similar set of easily solvable inequalities can be used to design finite-dimensional stabilizing compensators for a class of infinite-dimensional feedback systems. Computational aspects of the stability test are discussed
Keywords :
compensation; control system synthesis; feedback; multidimensional systems; stability criteria; Nyquist stability; design; finite dimensional stabilizing compensators; infinite dimensional feedback-systems; necessary conditions; optimization; sufficient condition; Algorithm design and analysis; Control systems; Design automation; Design optimization; Eigenvalues and eigenfunctions; Feedback; Polynomials; Stability criteria; Sufficient conditions; System testing;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194782
