Implicit Discrete-Time Adaptive First-Order Sliding Mode Control with Predefined Convergence Time

Xiaogang Xiong, Hua Chen, Yunjiang Lou, Zhichao Liu, Shyam Kamal, Motoji Yamamoto

Research output: Contribution to journalArticlepeer-review

Abstract

This paper proposes an adaptive first-order sliding mode control (SMC) with a predefined convergence time in a digital framework. It is based on an implicit Euler discretization of the set-valued signum function in SMC and a time-dependent adaptive gain scheme. Two typical cases are discussed and their stability analysis is provided, simple affine systems with first-order SMC and LTI systems with equivalent control-based sliding mode control (ECB-SMC), both in the presence of unknown perturbations. Numerical simulations show that, compared with the conventional SMC, the proposed implicit discrete-time SMC guarantees the convergence of the states within any predefined arbitrary time.

Original languageEnglish
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
DOIs
Publication statusAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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