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This paper concerns the control law design by variable structure control for a kind of uncertain discrete-time systems. Why the chattering shows up for this kind of systems by discrete reaching law is investigated, and then a developed variable structure controller is designed based on grey prediction iterative algorithm. Based on the grey prediction model, the parameter values are obtained. A criterion...
Soft sliding mode control (SSMC) strategy is given for discrete-time systems with uncertainties by the reaching law with active disturbance rejection function in this paper. The reason of causing chattering is analyzed and a discrete reaching law with boundary layer is developed. A grayscale algorithm is presented for uncertainties and the estimates of parameters are obtained appropriately. Soft sliding...
This paper investigates the input-to-state stability (ISS) problems for a class of discrete-time nonlinear switched singular systems (SSSs). Two novel ISS criteria are proposed based on average dwell time (ADT) approach and iterative algorithm of discrete-time systems (IADS). In particular, the following two cases are considered for the underlying systems: the first case is that all the sub-systems...
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