Adaptive chaos control of the fractional-order arch MEMS resonator

DOI10.1007/s11071-017-3890-6zbMath1390.34197OpenAlexW2765894516MaRDI QIDQ1640199

Shaohua Luo, Shaobo Li, Farid Tajaddodianfar

Publication date: 14 June 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3890-6

zbMATH Keywords

time delaychaos controlChebyshev neural networkfractional-order adaptive backsteppingfractional-order arch MEMS resonator

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Adaptive control/observation systems (93C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractional ordinary differential equations (34A08) Chaos control for problems involving ordinary differential equations (34H10)

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Cites Work

• Unnamed Item
• Asymptotic pseudo-state stabilization of commensurate fractional-order nonlinear systems with additive disturbance
• Neural network-based adaptive output feedback formation control for multi-agent systems
• Chaos and synchronization of the fractional-order Chua's system
• A graphic stability criterion for non-commensurate fractional-order time-delay systems
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Nonlinear dynamics of a resonant gas sensor
• Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique
• Fold-Hopf bifurcation, steady state, self-oscillating and chaotic behavior in an electromechanical transducer with nonlinear control
• Statements on chaos control designs, including a fractional order dynamical system, applied to a ``MEMS comb-drive actuator
• Prediction of chaos in electrostatically actuated arch micro-nano resonators: analytical approach
• Controlling chaos
• Chaos control of the brushless direct current motor using adaptive dynamic surface control based on neural network with the minimum weights
• Synchronization in chaotic systems
• An Algorithm for Stabilization of Fractional-Order Time Delay Systems Using Fractional-Order PID Controllers
• Advances in Fractional Calculus

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