Chaos control of third-order phase-locked loops using backstepping nonlinear controller

DOI10.1016/S0960-0779(03)00267-4zbMath1049.93522MaRDI QIDQ1878096

Bassam A. Harb, Ahmad. M. Harb

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Dimension theory of smooth dynamical systems (37C45)

Related Items (11)

Chaos and bifurcation control of SSR in the IEEE second benchmark model ⋮ Exploring the Dynamics of a Third-Order Phase-Locked Loop Model ⋮ Asymptotic output tracking control with prescribed transient performance of nonlinear systems in the presence of unknown dynamics ⋮ Observer-based model reference adaptive control for unknown time-delay chaotic systems with input nonlinearity ⋮ Recursive backstepping control of chaotic Duffing oscillators ⋮ Analysis and control of the bifurcation of Hodgkin-Huxley model ⋮ Hopf bifurcation and chaos in a third-order phase-locked loop ⋮ A novel boundedness-based linear and nonlinear approach to control chaos ⋮ CONTROL AND SYNCHRONIZATION OF CHAOTIC PENDULUM USING BACKSTEPPING ⋮ BACKSTEPPING CONTROL AND SYNCHRONIZATION OF PARAMETRICALLY AND EXTERNALLY EXCITED Φ⁶ VAN DER POL OSCILLATORS WITH APPLICATION TO SECURE COMMUNICATIONS ⋮ HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS

Cites Work

• Local feedback stabilization and bifurcation control. I. Hopf bifurcation
• Chaos and bifurcation in a third-order phase locked loop
• Controlling Hopf bifurcation and chaos in a small power system
• Robustness of the tuning functions adaptive backstepping design for linear systems
• Fuzzy Control of Chaos
• Unnamed Item
• Unnamed Item

This page was built for publication: Chaos control of third-order phase-locked loops using backstepping nonlinear controller