Narrow Results

This paper deals with a new fractional calculus based method to stabilize fixed points of single-input 3D systems. In the proposed method, the control signal is determined by fractional order integration of a linear combination of the system linearized model states. The tuning rule for this method is based on the stability theorems in the incommensurate fractional order systems. The introduced technique can be used in suppression of chaotic oscillations. To evaluate the performance of the proposed technique in practical applications, it has been experimentally applied to control chaos in two chaotic circuits.

In order to solve the problems of servo press control system precision about large inertia and low precision, the controlling theory of fractional order PI^λD^μ and the digital realization of fractional order controller had been proposed, which based on the slide motion characteristics. The design flexibility, the system stability and controlling effect of traditional integer order PID controller can be improved with the application of the fractional order calculus of fractional order controller. The press position servo system model was established in Matlab/Simulink to verify the controlling effect of fractional order controllers. The simulation results show that the controlling effect of fractional order PI^λD^μ controller was better than traditional integer order PID controller.