Abstract
In this paper, a compressive study on state space approach of discrete time sliding mode control (DTSMC) for various applications has been discussed. The design of the robust DTSMC reaching/sliding manifold is a key steps which is studied in this paper, and performance of each of the approaches have been included. The aim of this paper is in two folds. First, compressive studies of DTSMC reaching laws and control strategies are included. Second, advances in the development of DTSMC techniques are discussed. The reaching laws and control laws formulation as well as advantages and applications of DTSMC in various fields are also included. The comparative study and simulation of a typical system are carried out with prevalent DTSMC techniques and its modified laws to analyse the effects on the system states and control signal.
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