SLIDING MODE CONTROL OF GENERALIZED FRACTIONAL CHAOTIC SYSTEMS

DOI10.1142/S0218127406016719zbMath1139.93009OpenAlexW2051018522MaRDI QIDQ3498714

Yousef Al-Assaf, Reyad El-Khazali, Wajdi M. Ahmad

Publication date: 16 May 2008

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

Full work available at URL: https://doi.org/10.1142/s0218127406016719

zbMATH Keywords

sliding modechaos controlChen systemchaotic oscillatorgeneralized fractional systems

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Adaptive or robust stabilization (93D21) Variable structure systems (93B12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Synchronization of a Memristor Chaotic System and Image Encryption ⋮ Design of sliding mode controllers for nonlinear fractional-order systems via diffusive representation ⋮ Stabilization of fractional order systems using a finite number of state feedback laws ⋮ Fractional-order dynamical models of love ⋮ Fractional‐Order Dynamic Output Feedback Sliding Mode Control Design for Robust Stabilization of Uncertain Fractional‐Order Nonlinear Systems ⋮ Generation and control of multi-scroll chaotic attractors in fractional order systems ⋮ Unnamed Item ⋮ Variable structure control of linear time invariant fractional order systems using a finite number of state feedback law ⋮ Stabilization of chaos systems described by nonlinear fractional-order polytopic differential inclusion ⋮ On the Stabilization of Linear Time Invariant Fractional Order Commensurate Switched Systems ⋮ Stabilization of Fractional-Order Linear Systems with State and Input Delay ⋮ Sliding mode control of uncertain fractional order systems with delay ⋮ Improvements and applications of entrainment control for nonlinear dynamical systems

Cites Work

• Unnamed Item
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Chaos in fractional-order autonomous nonlinear systems.
• On nonlinear control design for autonomous chaotic systems of integer and fractional orders
• Stabilization of generalized fractional order chaotic systems using state feedback control
• Output feedback variable structure control design
• Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices
• Tracking the gradient of artificial potential fields: sliding mode control for mobile robots