Tracking control with several new control methods for different kinds of linear or approach linear systems

This paper presents several new control methods different from the classical PID control and modern control theory. Those control methods are simple without using the state equation of system and internal model principle, but its tracking performance is even better. Among those new controls, The ST-ER control and ST-ER-DE control are designed to control different kinds of precise linear systems to yield high tracking speed and low overshoot. GAST-ER control and GAST-ER-DE control respectively, base on ST-ER control and ST-ER-DE control are robust control methods which can track different kinds linear systems or approach linear systems with high tracking speed and almost no overshoot even when there is little or no information available regarding plant dynamics. In this paper, some simulation examples are given to demonstrate the effectiveness of those controls. Besides, The GAST-ER-DE control is applied to the micromirror plant without knowing its model and the experiment results are successful. With the new outlook and possibilities that GAST-ER control and GAST-ERDE control will promote a revolution in controlling field and break the hold of classical PID and enter a new era for its simplicity and high efficiency.