A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems

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GHAFFARI V.

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF ELECTRICAL AND ELECTRONIC ENGINEERING Year:2019 | Volume:15 | Issue:4 Page(s): 453-461

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Information Journal Paper

Title

A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems

Author(s)

GHAFFARI V. | Issue Writer Certificate

Keywords

Sliding

Mode Control

Discrete

Time System

Chattering

Free and Lyapunov Stability

Abstract

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.

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APA: Copy

GHAFFARI, V.. (2019). A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems. IRANIAN JOURNAL OF ELECTRICAL AND ELECTRONIC ENGINEERING, 15(4), 453-461. SID. https://sid.ir/paper/300033/en

Vancouver: Copy

GHAFFARI V.. A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems. IRANIAN JOURNAL OF ELECTRICAL AND ELECTRONIC ENGINEERING[Internet]. 2019;15(4):453-461. Available from: https://sid.ir/paper/300033/en

IEEE: Copy

V. GHAFFARI, “A Novel Approach to Designing of Chattering-Free Sliding-Mode Control in Second-Order Discrete-Time Systems,” IRANIAN JOURNAL OF ELECTRICAL AND ELECTRONIC ENGINEERING, vol. 15, no. 4, pp. 453–461, 2019, [Online]. Available: https://sid.ir/paper/300033/en

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