Comparison of Discrete Time Sliding Manifold and Its Impact on System Dynamics

Abstract

This paper presented the comparative study on development in the discrete time sliding mode control (DTSMC) especially concern with the third-order process to analysis of the system state variables. In the literature study, it was found that many researchers were fascinated by the study of DTSMC strategies implemented for control engineering applications. In this paper, different DTSMC approaches such as second-order DTSMC, DTSMC for the higher order system, and DTSMC with discrete PID sliding manifold have been included to find its effect on system dynamics such as interval state variables of the systems. The presented controller design depends on discrete controller techniques which are obtained from the laws available in literature in recent years. In this paper, the presented techniques give minimum value for the control input to reduce the effort for a controller, and it is implemented on the proposed model of the system. In the formulation of DTSMC law, the calculated values of gains from the constant matrix or gain tuning parameters are used to derive one of the laws of DTSMC. In the presented work, stable poles of the system have been given the desired value for the controller input signal. The major advantages of the presented techniques included dynamics of the state variables and effect of variables arises difficulty in implementation. The obtained simulation results show the comparative study for DTSMC the approach in the form of stabilization of the system states and its output responses.