Output Tracking of Time-Varying Linear System Using ZD Controller with Pseudo Division-by-Zero Phenomenon Illustrated

摘要

In this paper, the output tracking of time-varying linear system is investigated with pseudo division-by-zero phenomenon illustrated. We only use Zhang dynamics (ZD) to design a ZD tracking controller, which is easier than using Zhang-gradient (ZG) method. The purpose of output tracking control for the considered time-varying linear system is to make the actual output track the desired output with absolute error within an acceptably tiny error range; namely, the absolute error is as small as possible or even exponentially convergent to zero. By conducting controller design with ZD method as well as computer simulations, we can verify the efficacy of the proposed ZD controller in performing the output tracking control with the pseudo division-by-zero phenomenon illustrated. Besides, for the sake of comparative analysis of simulation results, we set the design parameters with different specific values. Anyhow, the output tracking of time-varying linear system can finally be achieved through simulation examples.