Discrete-Time Constrained PI-like Output Feedback Tracking Controllers - a Robust Positive Invariance and Bilinear Programming Approach

EasyChair Preprint 11272

Abstract

This paper presents the discrete-time counterpart of a PI-like output feedback tracking controller recently proposed for linear continuous-time systems subject to state and input constraints. The considered approach exploits the internal model principle to design via robust positive invariance and the Extended Farkas' Lemma, a constrained set-point tracking controller. The polyhedral setup allows a bilinear optimization design problem that simultaneously determines the sets of admissible set-points and the plant's initial conditions. The proposal guarantees asymptotic offset-free set-point tracking, local stability, and constraint fulfillment. Simulation results show the design's effectiveness.

Keyphrases: Bilinear programming, Constrained Set-Point Tracking, PI control, Robust Positive Invariance, discrete-time

@booklet{EasyChair:11272,
  author    = {Geovana F. Dos Santos and Jackson Ernesto and Eugênio B. Castelan and Walter Lucia},
  title     = {Discrete-Time Constrained PI-like Output Feedback Tracking Controllers - a Robust Positive Invariance and Bilinear Programming Approach},
  howpublished = {EasyChair Preprint 11272},
  year      = {EasyChair, 2023}}