Chaos Control via State-Dependent Riccati Equation Method Applied a Non-Ideal Vibration Absorber Coupled to a Nonlinear Oscillator

Abstract

The non-ideal vibration absorber system coupled to a nonlinear oscillator is proposed in the paper. This system is demonstrated with a chaotic behavior and we present the control technical for the chaos stabilization. The simulation results show the effectiveness of the control strategy.

Control Instability Applied to a Micro Electro Mechanical Actuator System (MEMS)

“…, then the solution , 0 , 0 ) ( > = t t y of the controlled system (4) is globally asymptotically stable. Then we will use the theorem done by [4] and used in [5][6][7][8]. The equation ( 1) describing the uncontrolled MEMs can be rewritten in the following form ( ) ( )…”