First Harmonic Analysis of Linear Control Systems with High-Gain Saturating Feedback-Reference-Cited by-同舟云学术

First Harmonic Analysis of Linear Control Systems with High-Gain Saturating Feedback

Published:1997-11 Issue:11 Volume:07 Page:2501-2510
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Aguirre Baltazar¹,Alvarez-Ramírez José¹,Fernández Guillermo¹,Suárez Rodolfo¹

Affiliation:

1. Departamento de Matemáticas, Universidad Autónoma Metropolitana–Iztapalapa, Apartado Postal 55-534, 09000 México D.F., México

Abstract

A first harmonic approach (describing function method) is used in this work 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127497001679

Reference8 articles.

1. In-the-large stability of relay and saturating control systems with linear controllers

2. A HARMONIC BALANCE APPROACH FOR CHAOS PREDICTION: CHUA’S CIRCUIT

3. On vanishing stability regions in nonlinear systems with high-gain feedback

4. Qualitative analysis of oscillations in nonlinear control systems: A describing function approach

5. Global first harmonic bifurcation diagram for odd piecewise linear control systems

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