Title :
On the equilibrium sets of linear systems with saturating feedback control
Author :
Alvarez, J. ; Suarez, Raul ; Alvarez, J.
Author_Institution :
Div. de Ciencias Basicas e Ingenieria, Univ. Autonoma Metropolitana, Iztapalapa, Mexico
Abstract :
A linear system under the action of saturating feedback control (SFC) behaves as a nonlinear dynamical system. This raises the possibility of the existence of more than one equilibrium point. The problem of the existence of equilibrium points as a prerequisite to study the region of attraction for linear systems with SFC is addressed. Most results are derived from the fact that the topological degree of the open-loop system is invariant under SFC. The equilibrium set structure for one-input systems is completely characterized
Keywords :
feedback; linear systems; nonlinear dynamical systems; stability; equilibrium points; equilibrium set structure; linear systems; nonlinear dynamical system; one-input systems; open-loop system; region of attraction; saturating feedback control; topological degree; Control systems; Feedback control; Frequency domain analysis; Iron; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Open loop systems; Stability criteria;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371250
