Title :
The pole placement theorem and small perturbations in parameters: the existence of an unassignable left half plane
Author :
Olbrot, Andrzej W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI, USA
Abstract :
It is proved that placing the poles of a linear time-invariant system arbitrarily far to the left of the imaginary axis is not possible if small perturbations in the model coefficients are taken into account. The results show a major difference between the behavior of nominal closed-loop system poles and the closed-loop system poles under small perturbations of the open-loop system parameters. For systems with uncertain parameters there exists an unassignable left half plane
Keywords :
closed loop systems; linear systems; poles and zeros; closed-loop system poles; linear system; model coefficients; open-loop system; pole placement theorem; small perturbations; time-invariant system; unassignable left half plane; uncertain parameters; Closed loop systems; Control systems; Control theory; Delay effects; Eigenvalues and eigenfunctions; Equations; Feedback loop; Linear feedback control systems; State feedback; Time invariant systems;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194533
