A novel adaptive high-order sliding mode control based on integral sliding mode

Liang Wang, Yongzhi Sheng*, Xiangdong Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)

Abstract

This paper presents an adaptive high-order sliding mode control scheme targeting for uncertain minimum phase nonlinear single-input-single-output (SISO) systems, which can be equivalently formulated as the finite-time stabilization of high-order input-output dynamics subject to the uncertainties of parameters such as a chain of integrators. The proposed controller is derived from the concept of integral sliding mode and consists of two parts, one part of which achieves the finite-time stabilization of the high-order input-output dynamics without uncertainties by solving a finite-horizon optimal control problem with a free-final-state. The other part adopts the adaptive sliding mode control technique considering the practical bounded uncertainties, by which a modified switching gain adaptation algorithm is developed so that the on-line switching gain selection can be executed and the upper bounds of the uncertainties are not requisite in advance. As a result, a high-order sliding mode is established, ensuring the sliding variables and its high-order derivatives converge to an arbitrarily small vicinity of the origin in finite time. Therefore, the proposed controller achieves fixed convergence time and further improves strong robustness against bounded uncertainties with lower chattering and the easy implementation. Simulation results are presented in detail to verify the effectiveness and feasibility of the proposed algorithm.

Original languageEnglish
Pages (from-to)459-472
Number of pages14
JournalInternational Journal of Control, Automation and Systems
Volume12
Issue number3
DOIs
Publication statusPublished - Jun 2014

Keywords

  • High-order sliding mode control
  • integral sliding mode
  • switching gain adaptation
  • uncertain system

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Wang, L., Sheng, Y., & Liu, X. (2014). A novel adaptive high-order sliding mode control based on integral sliding mode. International Journal of Control, Automation and Systems, 12(3), 459-472. https://doi.org/10.1007/s12555-013-0361-9