Title: Robust control with an anti-windup technique based in relaxed LMI conditions for LTV system

Authors: Rosana Rego; Marcus Costa

Addresses: 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 technique to address the anti-windup (AW) with model predictive control (MPC) scheme for linear time-varying (LTV) systems. The main advantage of this new approach is the reduced conservativeness compared with other well-known anti-windup techniques and to prevent integration windup in MPC controllers when the actuators are saturated. The control with AW is applied in a three-state switching cell (3SSC) DC-DC converter operating under saturation conditions. The MPC with proposed anti-windup is compared with the MPC technique and with MPC-AW without relaxation. The MPC-AW with relaxation improves the performance when the converter operated in the saturated mode and allows the rational use of the converter. The simulation results validated the efficiency of the proposed approach and showed that the proposed approach not only allows working better with the polytope modeling but also improves the response under LTV disturbance.

Keywords: anti-windup; MPC; model predictive control; boost converter; linear time-varying systems; linear matrix inequalities; DC-DC converter; boost converter; LTV disturbance; 3SSC converter.

DOI: 10.1504/IJMIC.2020.114785

International Journal of Modelling, Identification and Control, 2020 Vol.35 No.4, pp.298 - 304

Received: 12 May 2020
Accepted: 26 Jun 2020
Published online: 06 May 2021 *

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