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Robust Stabilization of Nonlinear Processes Using Hybrid Predictive Control

Authors:Christofides Panagiotis, University of California, Los Angeles, United States
Mhaskar Prashant, University of California, Los Angeles, United States
El-Farra Nael H., University of California, Los Angeles, United States
Topic:2.3 Non-Linear Control Systems
Session:Nonlinear Model Predictive Control
Keywords: Input constraints, Lyapunov-based bounded control, Model predictive control, Controller switching, Hybrid processes and control, Stability region.

Abstract

In this work, we consider nonlinear processes with input constraints and uncertain variables, and develop a robust hybrid predictive control structure that provides a safety net for the implementationof model predictive controllers (MPC). The key idea is to use a Lyapunov-based bounded robust controller, for which an explicit characterization of the region of robust closed-loop stability can be obtained, to serve as a backup controller. A supervisor orchestrates switching between MPC and the bounded robust controller in a way that exploits the performance of MPC whenever possible, while using the bounded controller to maintain robust closed--loop stability in the event that the MPC fails yield a control move or leads to instability. The implementation and efficacy of the robust hybridpredictive control structure are demonstrated through simulations using a chemical process example.