Chaos control in AFM systems using nonlinear delayed feedback via sliding mode control

DOI10.1016/J.NAHS.2007.10.002zbMath1218.34073OpenAlexW2040211507MaRDI QIDQ534408

Hoda Sadeghian, Mehdi Tabe Arjmand, Hassan Salarieh, Aria Alasty

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2007.10.002

zbMATH Keywords

AFMchaossliding modedelayed feedback

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control problems for functional-differential equations (34K35) Complex behavior and chaotic systems of ordinary differential equations (34C28) Chaos control for problems involving ordinary differential equations (34H10) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (12)

Design of a nonsingular adaptive fuzzy backstepping controller for electrostatically actuated microplates ⋮ On disturbance rejection for a class of nonlinear systems ⋮ Hybrid chaos control of continuous unified chaotic systems using discrete rippling sliding mode control ⋮ Adaptive unstable periodic orbit stabilization of uncertain time-delayed chaotic systems subjected to input nonlinearity ⋮ Nonlinear dynamic analysis of a V-shaped microcantilever of an atomic force microscope ⋮ Asymptotic analysis of a noncontact AFM microcantilever sensor with external feedback control ⋮ Vibration control of micro-scale structures using their reduced second order bilinear models based on multi-moment matching criteria ⋮ Multi-variable control of chaos using PSO-based minimum entropy control ⋮ Synchronizing the noise-perturbed Genesio chaotic system by sliding mode control ⋮ Boundary stabilization of non-classical micro-scale beams ⋮ Observer-based vibration control of non-classical microcantilevers using extended Kalman filters ⋮ Sliding mode control of uncertain unified chaotic systems

Cites Work

• Indirect adaptive control of discrete chaotic systems
• Dynamical analysis and control of microcantilevers
• Melnikov-based dynamical analysis of microcantilevers in scanning probe microscopy
• Controlling chaos
• On time-delayed feedback control of chaotic systems

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