A Sufficient Condition for Checking the Attractiveness of a Sliding Manifold in Fractional Order Sliding Mode Control

DOI10.1002/asjc.430zbMath1287.93018OpenAlexW2105211672MaRDI QIDQ5417023

Mehmet Önder Efe

Publication date: 15 May 2014

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.430

zbMATH Keywords

sliding mode controlfractional order systems

Mathematics Subject Classification ID

Variable structure systems (93B12) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items

Delay Approximation of Fractional Integrals, A State Feedback Control Design for Generalized Fractional Systems Through Orthogonal Functions: Application to a Fractional Inverted Pendulum, Loop‐Shaping and Easy Tuning of Fractional‐Order Proportional Integral Controllers for Position Servo Systems, Robust <scp>CRONE</scp> Design for a Variable Ratio Planetary Gearing in a Variable Speed Wind Turbine, A Quasi-Sliding Mode Observer-based Controller for PMSM Drives, Fuzzy synchronization of fractional-order chaotic systems using finite-time command filter, Continuous Fractional-Order Sliding PI Control for Nonlinear Systems Subject to Non-Differentiable Disturbances, Fractional order sliding mode control of a class of second order perturbed nonlinear systems: application to the trajectory tracking of a quadrotor, Chaos suppression of an electrically actuated microresonator based on fractional-order nonsingular fast terminal sliding mode control, Fractional‐Order Dynamic Output Feedback Sliding Mode Control Design for Robust Stabilization of Uncertain Fractional‐Order Nonlinear Systems, On the Stabilization of Linear Time Invariant Fractional Order Commensurate Switched Systems

Uses Software

• ma2dfc

Cites Work

• Unnamed Item
• Unnamed Item
• Extending the root-locus method to fractional-order systems
• On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
• Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
• Robust stability check of fractional order linear time invariant systems with interval uncertainties
• State-space representation for fractional order controllers
• Finite difference approximations for two-sided space-fractional partial differential equations
• Stability properties for generalized fractional differential systems
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• On the Evaluation of Certain Sums Involving the Natural Numbers Raised to an Arbitrary Power