Recursive backstepping control of chaotic Duffing oscillators

DOI10.1016/j.chaos.2006.03.119zbMath1131.70011OpenAlexW2040648342MaRDI QIDQ2468118

Mohammad A. Zohdy, Ahmad A. Al-Qaisia, Ashraf A. Zaher, Ahmad. M. Harb

Publication date: 30 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.03.119

zbMATH Keywords

control tuningbifurcationreference model

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05)

Related Items (12)

Nonlinear control of systems with multiple equilibria and unknown sinusoidal disturbance ⋮ Chaos control and generalized projective synchronization of heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive variable structure control ⋮ A ROBUST NONMODEL-BASED TECHNIQUE FOR STABILIZING CHAOTIC SYSTEMS WITH CONSTANT DISTURBANCE INPUT ⋮ Generalized projective synchronization for chaotic systems via Gaussian radial basis adaptive backstepping control ⋮ Adaptive nonsingular terminal sliding mode control for synchronization of identical \(\Phi^6\) oscillators ⋮ Using couplings to suppress chaos and produce a population stabilisation strategy ⋮ Robust adaptive intelligent sliding model control for a class of uncertain chaotic systems with unknown time-delay ⋮ Chaos control and modified projective synchronization of unknown heavy symmetric chaotic gyroscope systems via Gaussian radial basis adaptive backstepping control ⋮ Synchronization of second-order chaotic systems via adaptive terminal sliding mode control with input nonlinearity ⋮ Nonlinear control of permanent magnet stepper motors. ⋮ A nonlinear controller design for permanent magnet motors using a synchronization-based technique inspired from the Lorenz system ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Bifurcations in a forced softening Duffing oscillator
• The 1/2 subharmonic resonance and its transition to chaotic motion in a nonlinear oscillator
• Bifurcations of harmonic solution leading to chaotic motion in the softening type Duffing oscillator
• Nonlinear chaos control in a permanent magnet reluctance machine
• Chaos control of third-order phase-locked loops using backstepping nonlinear controller
• Secondary resonances and approximate models of routes to chaotic motion in non-linear oscillators
• On the transition from regular to chaotic behaviour in the Duffing oscillator
• Robustness of the tuning functions adaptive backstepping design for linear systems
• Robust Estimation-Based Control of Chaotic Behavior in an Oscillator with Inertial and Elastic Symmetric Nonlinearities

This page was built for publication: Recursive backstepping control of chaotic Duffing oscillators