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

DOI10.1142/S0218127497001679zbMath0967.93505OpenAlexW2100638828MaRDI QIDQ4399467

Guillermo Fernandez, Baltazar Aguirre, José de Jesús Álvarez-Ramírez

Publication date: 20 August 2001

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127497001679

Mathematics Subject Classification ID

Linear systems in control theory (93C05)

Related Items (5)

Algebraic determination of limit cycles in a family of three-dimensional piecewise linear differential systems ⋮ Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity ⋮ Symmetry Breaking of Periodic Orbits in Control Systems: A Harmonic Balance Approach ⋮ Existence of periodic orbits of stable saturated systems ⋮ ON PERIODIC ORBITS OF 3D SYMMETRIC PIECEWISE LINEAR SYSTEMS WITH REAL TRIPLE EIGENVALUES

Cites Work

• FIRST HARMONIC ANALYSIS OF PLANAR LINEAR SYSTEMS WITH SINGLE SATURATED FEEDBACK
• Computations of limit cycles via higher-order harmonic balance approximation
• Qualitative analysis of oscillations in nonlinear control systems: A describing function approach
• On vanishing stability regions in nonlinear systems with high-gain feedback
• A HARMONIC BALANCE APPROACH FOR CHAOS PREDICTION: CHUA’S CIRCUIT
• Global first harmonic bifurcation diagram for odd piecewise linear control systems
• In-the-large stability of relay and saturating control systems with linear controllers

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