Volume 15, Issue 4 (December 2019)                   IJEEE 2019, 15(4): 453-461 | Back to browse issues page

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Ghaffari V. A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems. IJEEE 2019; 15 (4) :453-461
URL: http://ijeee.iust.ac.ir/article-1-1351-en.html
A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems
V. Ghaffari
Abstract:   (3019 Views)
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 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 the 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 numerical examples.
Keywords: Sliding-Mode Control , Discrete-Time System , Chattering-Free and Lyapunov Stability
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Type of Study: Research Paper | Subject: Nonlinear Control Systems
Received: 2018/10/01 | Revised: 2019/03/16 | Accepted: 2019/03/19
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