A variable structure control for discrete systems with time-delay
Jing Li · Journal of Shenyang Normal University · 2012
This paper considers the variable structure control for linear discrete systems with time-delay.The original discrete system with control delay is simplified to a discrete system without time-delay.A new variable structure control strategy is designed for this simplified discrete system.The control algorithm divides the control process into two phases,when the system trajectory is outside of the given neighborhood,the control law is used to drive the trajectory monotonically toward the switching surface,but when the trajectory is inside the neighborhood,the control law drives the trajectory to the switching surface precisely in one step.Chattering phenomena is the main defects of the sliding mode control algorithm for discrete system.Some scholars have done a broad and in-depth study in the aspect of weakening chattering for discrete systems.We focused on discrete system chattering in the research and the proposed algorithm can effectively eliminate a system solution trajectory of discontinuity produce chattering phenomena,making the system stability,and give out numerical results and simulation examples.