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Robustification of the generalized predictive law (GPC) by the implicit application of the H∞ method

Published: 24 March 2019 Publication History

Abstract

In this paper, we propose a method of robustification of the initial polynomial form of the generalized predictive law (GPC) for a permanent magnet synchronous machine (PMSM). For this, the procedure consists of the following three steps: First, synthesis of an initial predictive controller to ensure a better follow-up of the properties of the closed-loop system. Secondly, a robust H∞ controller is synthesized by solving the mixed sensitivity problem by using the two Riccati equations to ensure a better dynamics in regulation. Third, the two previous controllers are combined, using Youla's parameterization to determine a robustified GPC controller. This controller should simultaneously satisfy the same better tracking dynamics of the initial GPC predictive controller. In addition, it should provide the same robustness of the robust H∞ controller. To validate the efficiency of this method, a permanent magnet synchronous machine (PMSM), which presents a real process, The dynamic behavior of the proposed process is modeled by an uncertain model. In our case the nominal model is used for the synthesis of the GPC controller with and without noise, thus used for the synthesis of the controller H∞. The system is controlled by the three previous controllers where their results are compared in the time and frequency domains.

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cover image ACM Other conferences
ICIST '19: Proceedings of the 9th International Conference on Information Systems and Technologies
March 2019
249 pages
ISBN:9781450362924
DOI:10.1145/3361570
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 24 March 2019

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Author Tags

  1. GPC Controller
  2. Mixed Sensitivity Problem
  3. Permanent Magnet Synchronous Machine
  4. Robust Controller

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