Title :
First harmonic analysis of linear control systems with high-gain saturating feedback
Author :
Aguirre, Baltazar ; Alvarez-Ramírez, José ; Fernández, Guillermo ; Suárez, Rodolfo
Author_Institution :
Dept. de Matematicas, Univ. Autonoma Metropolitana, Mexico City, Mexico
Abstract :
A first harmonic approach (describing function method) is used to study the behavior of linear control systems with a saturating high-gain linear feedback. It is shown that when the eigenvalues of the closed-loop system are located deeper in the left-half complex plane, several unstable periodic orbits shrink to the origin, thus leading to an unstable equilibrium point. This dynamical behavior is interpreted as the vanishing of the region of attraction of the origin when a saturating high-gain feedback is used
Keywords :
asymptotic stability; closed loop systems; control system synthesis; describing functions; eigenvalues and eigenfunctions; feedback; harmonic analysis; linear systems; closed-loop system; describing function method; dynamical behavior; eigenvalues; first harmonic analysis; high-gain saturating feedback; left-half complex plane; linear control systems; unstable periodic orbits; Control nonlinearities; Control systems; Eigenvalues and eigenfunctions; Feedback control; Harmonic analysis; Linear feedback control systems; Linear systems; Nonlinear control systems; Orbits; Stability;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657608
