QUASI-SLIDING MODE VSC FOR DISCRETE LINEAR CONSTANT SYSTEM WITH TIME DELAY
滞后离散线性定常系统的准滑模变结构控制

In this paper, concepts of a linear time-invariant system are presented, including quasi-sliding mode(ideal and nonideal quasi-sliding modes) and quasi-sliding sector. Condition to realize quasi-sliding control is developed. The system mentioned above is simplified by nonsingular transform, design strategy of VSC law is given. Finally, quasi-sliding state of the system is proved stable by Lyapunov function.