Novel predefined‐time control for fractional‐order systems and its application to chaotic synchronization
Jiale Chen, Xiaoshan Zhao, Jingyu Xiao
Abstract
Based on the fractional calculus and sliding mode control (SMC) techniques, this paper presents a predefined‐time synchronization scheme for fractional‐order chaotic systems (FOCSs). Firstly, a predefined‐time control method is proposed for fractional‐order systems. Subsequently, a novel sliding surface is presented to ensure predefined‐time convergence of the synchronization error. Then, a controller is designed by combining the predefined‐time stability and the SMC method to ensure that the synchronization error converges to zero within the predefined time. Finally, the feasibility and robustness of the scheme are illustrated with two numerical simulation examples.
Topics & Concepts
Control theory (sociology)Robustness (evolution)Synchronization (alternating current)MathematicsConvergence (economics)Chaotic systemsController (irrigation)ChaoticSliding mode controlScheme (mathematics)Computer scienceControl (management)Nonlinear systemTopology (electrical circuits)Artificial intelligenceBiologyPhysicsCombinatoricsMathematical analysisChemistryEconomic growthGeneQuantum mechanicsBiochemistryAgronomyEconomicsChaos control and synchronizationNeural Networks Stability and SynchronizationNonlinear Dynamics and Pattern Formation