ZD Controller for Output Tracking, Setting, Zeroing and Maintaining of Time-Varying Linear System

Abstract

In this paper, with the aid of Zhang dynamics (ZD) method, the ZD controller is designed for output tracking, setting, zeroing and maintaining of time-varying linear (TVL) system. One can see in this paper that ZD controller is an effective controller for output tracking, setting, zeroing and maintaining of TVL system, which can be guaranteed by theoretical derivation. Besides, to simulate the practical conditions, we make use of ordinary difference equation (ODE) solver to conduct numerical experiments with such a second order TVL system. To verify the efficacy of ZD controller designed for output tracking, setting, zeroing and maintaining of TVL system, we choose different tracking, setting, zeroing and maintaining examples to conduct numerical experiments. By exploiting ZD controller, the error between system output and its desired function practically converges towards zero and remains stable. Numerical experiments verify the efficacy of ZD controller designed for output tracking, setting, zeroing and maintaining of TVL system. It also means that ZD method can also be applied to output tracking, setting, zeroing and maintaining of TVL system, which may just be a small part of potential applications of ZD method.