A Linear Programming Approach to Design Online Triggering Mechanisms for Robust MPC

Details

10:20 - 10:40 | Wed 11 Dec | Rhodes 10 | WeA20.2

Session: Event-Triggered and Self-Triggered Control Based on Optimization Methods

Abstract

In this paper, an event-triggering approach is proposed for a robust model predictive control method. The approach is applicable to constrained, linear time-invariant systems with bounded, additive disturbances. At each triggering instant, the triggering mechanism is designed online using a linear programming approach. Intuitively, the mechanism is a sequence of hyper-rectangles that surround the optimal state trajectory, over the prediction horizon. Standard analyses of robust feasibility and robust stability of the closed-loop, event-triggered control system are conducted. A numerical example is presented to show benefits of the proposed approach. In particular and under the assumption that the disturbance has a uniform distribution, we further study some statistical properties of the generated triggering instants.