Anti-windup-like Compensator Synthesis for Discrete-Time Quantized Control Systems

TL;DR

This paper introduces a novel anti-windup-like compensator for discrete-time control systems with quantized inputs, ensuring finite-time convergence and robustness, with practical algorithms and illustrative examples.

Contribution

It proposes a new compensator design method for quantized control systems, including a feasible algorithm with guarantees and practical validation on complex systems.

Findings

Ensures finite-time convergence of the closed-loop system.

Provides a numerically tractable design algorithm with feasibility guarantees.

Demonstrates effectiveness on academic and aircraft system examples.

Abstract

This paper addresses the problem of designing an anti-windup like compensator for discrete-time linear control systems with quantized input. The proposed compensator provides a correction signal proportional to the quantization error that fed to the controller. The compensator is designed to ensure that solutions to the closed-loop systems converge in finite time into a compact set containing the origin that can be tuned by the designer. A numerically tractable algorithm with feasibility guarantees is provided for the design of the compensator. The proposed results are illustrated on an academic example and an open-loop unstable aircraft system.