Triple resonant states and chaos control in an electrostatic transducer with two outputs

The dynamics of a non-linear electrostatic transducer with two outputs is studied. The amplitudes and stability conditions of oscillations for the Triple Resonant States are obtained and discussed. It is found that chaos can appear in the system. A retroactive control strategy is therefore applied to tune these chaotic oscillations to regular target orbits. The stability analysis of the feedback controller is also investigated, and an estimation of the feedback strength under which no efficient control is possible is derived. The analytic study is confirmed by numerical simulations.