Integral-Type Event-Triggered Model Predictive Control of Nonlinear Systems with Additive Disturbance

TL;DR

This paper introduces an integral-type event-triggered MPC for nonlinear systems with disturbances, reducing sampling frequency and enhancing robustness, with proven feasibility and stability under certain conditions.

Contribution

It proposes a novel integral-type event-triggered mechanism and an improved robustness constraint for nonlinear MPC with disturbances, expanding the feasible region and ensuring stability.

Findings

Reduced average sampling frequency demonstrated.

Enhanced robustness against additive disturbances.

Numerical examples confirm effectiveness and stability.

Abstract

This paper studies integral-type event-triggered model predictive control (MPC) of continuous-time nonlinear systems. An integral-type event-triggered mechanism is proposed by incorporating the integral of errors between the actual and predicted state sequences, leading to reduced average sampling frequency. Besides, a new and improved robustness constraint is introduced to handle the additive disturbance, rendering the MPC problem with a potentially enlarged initial feasible region. Furthermore, the feasibility of the designed MPC and the stability of the closed-loop system are rigorously investigated. Several sufficient conditions to guarantee these properties are established, which is related to factors such as the prediction horizon, the disturbance bound, the triggering level, and the contraction rate for the robustness constraint. The effectiveness of the proposed algorithm is illustrated by numerical examples and comparisons.