Model Based Predictive Control (MPC) Applied to a Multi-Predictor for High Order Delayed Systems with an Unstable Pole

Resumen: This work presents a model-based predictive control (MPC) scheme using a multi-predictor for high-order linear systems with an unstable pole with long delay in direct loop, the stability analysis of this type of system is difficult due to the delay size considered. To solve the stabilization problem, as a first step a digital multi-predictor scheme is presented that estimates the intermediate variables of the process that will later be used for the design of an MPC controller to control the plant. The convergence of the multi-predictor scheme is based on a static output feedback, for this reason, the conditions that ensure the stability of an output feedback scheme are presented. The performance of the method is shown through numerical examples in simulation, likewise, some advantages of the methodology with respect to other controllers are illustrated.

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A. Urquiza Castro, J.F. Marquez Rubio , B. del-Muro-Cuellar & R.J. Vazquez-Guerra. Model Based Predictive Control (MPC) Applied to a Multi-Predictor for High Order Delayed Systems with an Unstable Pole. Memorias del Congreso Nacional de Control Automático, pp. 237-242, 2021.

Palabras clave

Linear systems, linear system observers, systems with time delays, predictive
control

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