Journal
NONLINEAR DYNAMICS
Volume 89, Issue 3, Pages 2065-2083Publisher
SPRINGER
DOI: 10.1007/s11071-017-3570-6
Keywords
Fractional order chaotic system; Fixedtime control; Nonsingular terminal sliding mode control; Stabilization and synchronization; Fractional order control
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Funding
- Creative Research Groups Fund of the National Natural Science Foundation of China [51521065]
- National Natural Science Foundation of China [51177117, 51307130]
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This paper presents fractional order fixed-time nonsingular terminal sliding mode control for stabilization and synchronization of fractional order chaotic systems with uncertainties and disturbances. First, a novel fractional order terminal sliding mode surface is proposed to guarantee the fixed-time convergence of system states along the sliding surface. Second, a nonsingular terminal sliding mode controller is designed to force the system states to reach the sliding surface within fixed-time and remain on it forever. Furthermore, the fractional Lyapunov stability theory is used to prove the fixed-time stability and the robustness of the proposed control scheme and estimate the upper bound of convergence time. Next, the proposed control scheme is applied to the synchronization of two nonidentical fractional order Liu chaotic systems and chaos suppressioneme of fractional order power system. Simulation results verify the effectiveness of the proposed control sch. Finally, some application issues about the proposed scheme are discussed.
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