December 7, 2021
Valiollah Ghaffari

Valiollah Ghaffari

Degree: Associate professor
Address: Persian Gulf University
Education: Ph.D in Electrical Engineering
Phone: 07733442269
Faculty: Faculty of Intelligent Systems and Data Science


Title A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second Order Discrete-Time Systems
Type Article
Journal Iranian Journal of Electrical and Electronic Engineering
Researchers Valiollah Ghaffari (First researcher)


In this paper, a chattering-free sliding-mode control is mainly proposed in a second order discrete-time system. For achieving this purpose, firstly, a suitable control law would be derived by using of the discrete-time Lyapunov stability theory and the sliding-mode concept. Then the input constraint is taken into account as a saturation function in the proposed control law. In order to guarantee the closed loop system stability, a sufficient stability condition would be addressed in presence of unstructured uncertainties. Hence the states of the discrete-time system are moved to a predefined sliding surface in a finite sampling time. Then the system states are asymptotically converged to the origin through the sliding line. The suggested SMC is successfully applied in two discrete-time systems (i.e. regulation and tracking problems). The effectiveness of the proposed method will be verified via the numerical examples.