FIRST HARMONIC ANALYSIS OF PLANAR LINEAR SYSTEMS WITH SINGLE SATURATED FEEDBACK-Reference-Cited by-同舟云学术

FIRST HARMONIC ANALYSIS OF PLANAR LINEAR SYSTEMS WITH SINGLE SATURATED FEEDBACK

Published:1996-12 Issue:12b Volume:06 Page:2605-2610
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SUÁREZ RODOLFO¹,ALVAREZ-RAMIREZ JOSÉ¹,AGUIRRE BALTAZAR¹

Affiliation:

1. Departamento de Matemáticas, División de Ciencias Básicas e Ingeniería Universidad Autónoma Metropolitana-Iztapalapa, Apdo. Postal 55–534, México, D.F., 09000, México

Abstract

A first harmonic approach (describing function method) is used here to analyze the dependence of periodic orbits on the control parameters of planar linear systems with single saturated feedback. It is shown that, if the open-loop system has at least one unstable eigenvalue, periodic orbits converge monotonically to an unstable equilibrium point as the control gains go to infinity.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127496001661

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Characteristic analysis and mitigation strategy for SSCI in series-compensated DFIG-based wind farm controlled by a virtual synchronous generator;ISA Transactions;2024-07

2. Adaptive fuzzy prescribed time tracking control for nonlinear systems with input saturation;ISA Transactions;2023-12

3. Chaos synchronization using super-twisting sliding mode control applied on Chua’s circuit;Facta universitatis - series: Electronics and Energetics;2023

4. Bifurcation analysis of bistable and oscillatory dynamics in biological networks using the root‐locus method;IET Systems Biology;2019-12

5. Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity;Applied Mathematics and Computation;2015-11