Applied Mathematics and Nonlinear Sciences (Jan 2024)

Discrete-time Linear Tracking Control Based on Parallel System Theory

  • Gao Junjie,
  • Chen Mingliang,
  • Wei Qinglai

DOI
https://doi.org/10.2478/amns-2024-2986
Journal volume & issue
Vol. 9, no. 1

Abstract

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Inspired by parallel system theory, a novel parallel tracking controller is presented for discrete-time linear systems in this paper. The core point is to model the time derivative of system control, which makes the control system and the control law completely equivalent in mathematical form. First, the architecture of discrete-time linear parallel tracking control is introduced. Then, in the sight of the reachability of control systems, the pole assignment theorems are given. The merits of this presented method comparing with traditional feedback control are analyzed. Eventually, the efficiency of this method is proved through numerical results.

Keywords