This paper proposes a new control method for a class of dynamical systems that naturally exhibit stable co-existing attractors. The main idea is based on understanding of the system’s basins of attraction where the control action is being switched on only when the displacements of the actual and the desired trajectories are crossing in time domain. The method has been applied to control both continuous and discontinuous systems, where a Duffing oscillator and an impact oscillator were used as examples. Numerical results are presented to demonstrate the effectiveness of the proposed method.
|Title of host publication||Tokyo University of Technology Press|
|Publication status||Published - Dec 2012|
|Event||2nd IFToMM Asian Conference on Mechanism and Machine Science - Tokyo, Japan|
Duration: 7 Nov 2012 → 10 Nov 2012
|Conference||2nd IFToMM Asian Conference on Mechanism and Machine Science|
|Period||7/11/12 → 10/11/12|