Response-Time Optimization of a Class of Servo Systems

The purpose of this paper is to set up time-optimal control for a class of servo systems of 4th-order with complex poles. At first, a super switch surface for changing the polarity of the input is established in the high-order state-variable space by taking the advantage of the asymptotically stable property of the original system. Then, the number of the needed switches and the correct time too switche are found cut accordingly. Finally, some recorded results from a practical system are presented to illustrate the application of the derived theory.