A Linear Parameter-Varying Approach to Data Predictive Control

Abstract

By means of the linear parameter-varying (LPV) Fundamental Lemma, we derive novel data-driven predictive control (DPC) methods for LPV systems. In particular, we present output-feedback and state-feedback-based LPV-DPC methods with terminal ingredients, which guarantee exponential stability and recursive feasibility. We provide methods for the data-based computation of these terminal ingredients. Furthermore, an in-depth analysis of the application and implementation aspects of the LPV-DPC schemes is given, including application for nonlinear systems and handling noisy data. We compare and demonstrate the performance of the proposed methods in a detailed simulation example involving a nonlinear unbalanced disc system.

To appear in IEEE Transactions on Automatic Control. Final Author Copy. Extended version (Section VI.C, Appendix C & D not in original version). 18 pages

References in corpus (16)

• Data-Driven Model Predictive Control with Stability and Robustness Guarantees
• Linear tracking MPC for nonlinear systems Part II: The data-driven case
• Direct data-driven control of constrained linear parameter-varying systems: A hierarchical approach
• Robust Constraint Satisfaction in Data-Driven MPC
• Data-Driven Predictive Control for Linear Parameter-Varying Systems
• Data-Driven Tracking MPC for Changing Setpoints
• Fundamental Lemma for Data-Driven Analysis of Linear Parameter-Varying Systems
• Data-Driven Gain Scheduling Control of Linear Parameter-Varying Systems using Quadratic Matrix Inequalities
• Harnessing Uncertainty for a Separation Principle in Direct Data-Driven Predictive Control
• Stability in data-driven MPC: an inherent robustness perspective
• Direct data-driven state-feedback control of general nonlinear systems
• A Learning- and Scenario-based MPC Design for Nonlinear Systems in LPV Framework with Safety and Stability Guarantees
• Decoupling parameter variation from noise: Biquadratic Lyapunov forms in data-driven LPV control
• Convergence Properties of Fast quasi-LPV Model Predictive Control
• Direct Data-Driven State-Feedback Control of Linear Parameter-Varying Systems
• A behavioral approach for LPV data-driven representations