The synthesis problem of quasi-sliding mode control strategies for mismatched discrete singular systems with internal parameter perturbation and external disturbance is considered. A dynamic switching function with last step state vector is given to guarantee the stability of the control system in the switching band. Two types of discrete singular reaching laws with disturbance compensator are designed to eliminate the restriction that the system uncertainties is bounded and the satisfaction of matching conditions compared with conventional sliding mode control strategy. Essential conditions of quasi-sliding mode which can cross the switching plane step by step is provided, and the switching band of quasi-sliding mode is reduced. Two types of discrete singular sliding mode controllers are designed by applying the reaching laws, which can guarantee the system to reach the switching plane in finite time, decrease the system chattering and enhance the dynamic quality of the system effectively. Finally, a numerical example illustrates the feasibility of the proposed control strategies.
LIU Yunlong, GAO Cunchen, CONG Xinwei. , {{custom_author.name_en}}.
QUASI-SLIDING MODE CONTROL FOR MISMATCHED DISCRETE SINGULAR SYSTEMS BASED ON REACHING LAWS WITH DISTURBANCE COMPENSATOR. Journal of Systems Science and Mathematical Sciences, 2011, 31(6): 720-730 https://doi.org/10.12341/jssms11641