Aperiodic Sampled-Data Control via Explicit Transmission Mapping: A Set Invariance Approach

TL;DR

This paper introduces new self-triggered control strategies for linear discrete-time systems that reduce communication in networked control systems while ensuring stability and constraint satisfaction, based on set-invariance theory.

Contribution

It proposes a novel set-invariance based approach for self-triggered control that guarantees stability and constraints in NCSs, with reduced communication.

Findings

Achieves communication reduction in NCSs.

Ensures asymptotic stability of the system.

Validates effectiveness through numerical simulation.

Abstract

Event-triggered and self-triggered control have been proposed in recent years as promising control strategies to reduce communication resources in Networked Control Systems (NCSs). Based on the notion of set-invariance theory, this note presents new self-triggered control strategies for linear discrete-time systems subject to input and state constraints. The proposed schemes not only achieve communication reduction for NCSs, but also ensure both asymptotic stability of the origin and constraint satisfactions. A numerical simulation example validates the effectiveness of the proposed approaches.