English

Modelling and Fast Terminal Sliding Mode Control for Mirror-based Pointing Systems

Systems and Control 2019-01-03 v1 Robotics

Abstract

In this paper, we present a new discrete-time Fast Terminal Sliding Mode (FTSM) controller for mirror-based pointing systems. We first derive the decoupled model of those systems and then estimate the parameters using a nonlinear least-square identification method. Based on the derived model, we design a FTSM sliding manifold in the continuous domain. We then exploit the Euler discretization on the designed FTSM sliding surfaces to synthesize a discrete-time controller. Furthermore, we improve the transient dynamics of the sliding surface by adding a linear term. Finally, we prove the stability of the proposed controller based on the Sarpturk reaching condition. Extensive simulations, followed by comparisons with the Terminal Sliding Mode (TSM) and Model Predictive Control (MPC) have been carried out to evaluate the effectiveness of the proposed approach. A comparative study with data obtained from a real-time experiment was also conducted. The results indicate the advantage of the proposed method over the other techniques.

Keywords

Cite

@article{arxiv.1812.07879,
  title  = {Modelling and Fast Terminal Sliding Mode Control for Mirror-based Pointing Systems},
  author = {Ansu Man Singh and Manh Duong Phung and Quang Ha},
  journal= {arXiv preprint arXiv:1812.07879},
  year   = {2019}
}

Comments

In Proceedings of the 15th International Conference on Control, Automation, Robotics and Vision (ICARCV 2018)

R2 v1 2026-06-23T06:47:36.725Z