Lazy global feedbacks for quantized nonlinear event systems

TL;DR

This paper introduces a globally stabilizing control method for nonlinear event systems with quantized states, minimizing control updates and proposing a heuristic to further reduce control changes with lower computational costs.

Contribution

It presents a novel control design that minimizes control value changes in quantized nonlinear systems and offers a heuristic approach for reduced computational effort.

Findings

Control method ensures global stability with minimal control updates.

Heuristic reduces control changes and computational effort.

Numerical examples demonstrate effectiveness of the approach.

Abstract

We consider nonlinear event systems with quantized state information and design a globally stabilizing controller from which only the minimal required number of control value changes along the feedback trajectory to a given initial condition is transmitted to the plant. In addition, we present a non-optimal heuristic approach which might reduce the number of control value changes and requires a lower computational effort. The constructions are illustrated by two numerical examples.