Title: An offline predictive control with ellipsoid invariant set for time-variant system

Authors: Rosana Rego; Marcus Costa

Addresses: Graduate Program in Electrical and Computer Engineering, Federal University of Rio Grande do Norte, Natal, RN, 59077080, Brazil ' Department of Engineering, Federal Rural University of the Semi-Arid, 59780000, Caraúbas, RN, Brazil

Abstract: This paper proposes a new formulation to address constrained robust model predictive control (MPC) off-line scheme for uncertain systems based on a quasi-min-max algorithm with linear matrix inequalities (LMI). The approach involves an off-line design of a robust state observer. The proposed off-line MPC is applied to three state switching cell (3SSC) boost converter. The converter analyses considering the ellipsoids of stability and its projections in the closed loop impulse response. And a comparison is made between the online and off-line performance of the algorithm to show the efficiency of the off-line proposed approach. The results showed that the off-line formulation obtained good results and ensures the stability of the converter.

Keywords: MPC; model predictive control; boost converter; LMI; linear matrix inequalities; uncertainties; DC-DC converter; boost converter; 3SSC converter; linear time-varying systems; offline MPC.

DOI: 10.1504/IJMIC.2021.120216

International Journal of Modelling, Identification and Control, 2021 Vol.37 No.2, pp.121 - 127

Received: 02 Jul 2020
Accepted: 21 Jan 2021

Published online: 11 Jan 2022 *

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