Control of Chaos: Methods and Applications. II. Applications
Automation and Remote Control
Development of Behavioural Models for Mechanically Loaded Microcantilevers and Beams
Analog Integrated Circuits and Signal Processing
Robust adaptive fuzzy control of unknown chaotic systems
Applied Soft Computing
Computers & Mathematics with Applications
Brief Converting chaos into periodic motion by state feedback control
Automatica (Journal of IFAC)
Brief Notch filter feedback control in a class of chaotic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 22.15 |
In this paper, we study the dynamical behavior of a microcantilever-sample system that forms the basis for the operation of atomic force microscopes (AFM). We model the microcantilever by a single mode approximation and the interaction between the sample and cantilever by a van der Waals (vdW) potential. The cantilever is vibrated by a sinusoidal input, and its deflection is detected optically. We analyze the forced dynamics using Melnikov method, which reveals the region in the space of physical parameters where chaotic motion is possible. In addition, using a proportional and derivative controller we compute the Melnikov function in terms of the parameters of the controller. Using this relation it is possible to design controllers that will remove the possibility of chaos.