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STABILIZING SADDLE STEADY STATES OF DYNAMICAL SYSTEMS WITH PARTIALLY UNCERTAIN MODEL BY MEANS OF PROPORTIONAL FEEDBACK

A. Tamaševičius,Elena Tamaševičiūtė-2011-01-01
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TL;DRAbstract

A simple zero-order proportional feedback technique for stabilizing unknown saddle type unstable fixed points is described. The technique employes either natural or artificially created stable fixed points to find unknown coordinates of the unstable fixed point. Two physical examples have been investigated, namely mechanical pendulum and autonomous Duffing-Holmes oscillator have been considered both analytically and numerically.

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A simple zero-order proportional feedback technique for stabilizing unknown saddle type unstable fixed points is described. The technique employes either natural or artificially created stable fixed points to find unknown coordinates of the unstable fixed point. Two physical examples have been investigated, namely mechanical pendulum and autonomous Duffing-Holmes oscillator have been considered both analytically and numerically.

Keywords

Fixed pointPendulumMathematicsSaddle pointControl theory (sociology)SaddleDuffing equationSimple (philosophy)

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