Robust Stability Analysis of a Simple Data-Driven Model Predictive Control Approach

In this article, we provide a theoretical analysis of closed-loop properties simple data-driven model predictive control (MPC) scheme. The formulation does not involve any terminal ingredients, thus allowing for implementation without (potential) feasibility issues. proposed approach relies on an implicit description linear time-invariant systems based behavioral theory, which only requires one input–output trajectory unknown system. For the nominal case with noise-free data, prove that MPC scheme ensures exponential stability closed loop if prediction horizon is sufficiently long. Moreover, analyze robust noisy output measurements practical stability. advantages presented are illustrated numerical example.