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Quasi-min-max Output-feedback Model Predictive Control for LPV Systems with Input Saturation

Tae-Hyoung Kim* and Ho-Woon Lee
International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp.1069-1076, 2017

Abstract : "In the research field of model predictive control (MPC), an output-feedback-type MPC method is consistently required for controlling a wide range of constrained systems. In this paper, we propose a two-stage control strategy for polytopic linear parameter varying (LPV) systems subject to input constraints. This strategy consists of a modified quasi-min-max output-feedback MPC method and a novel terminal output-feedback robust control technique. The proposed control mechanism involves the system states to be first controlled via the MPC method to be driven into a prescribed neighborhood of the origin, and then, the terminal output-feedback robust control method guaranteeing the input constraints is applied to make such states converge to the origin. It is also verified that our control method guarantees the closed-loop stability and feasibility in the presence of model uncertainties and input constraints. Finally, a numerical example is given to demonstrate its effectiveness."

Keyword : "Constrained systems, linear matrix inequality, linear parameter varying systems, model predictive control, quasi-min-max optimization."

 
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