Revista Eletrônica de Potência (Brazilian Journal of Power Electronics)

Title: Linear matrix inequality based synthesis of PI controllers for PMSM with uncertain parameters

Keywords: Linear Matrix Inequalities, Permanent Magnet Synchronous Motor, Robust Control, Uncertain Parameter

Abstract

This paper addresses the design of robust PI controllers for permanent magnet synchronous motors in terms of a linear matrix inequality based problem. A polytopic model of the plant is obtained and validated for the motor uncertain parameters belonging to intervals. The design procedure proposed here encompasses: i. suitable plant uncertainties inclusion and the use of practical design control constraints; ii. robust PI computation based on linear matrix inequalities with a very fast solution; iii. simulation analyses; and iv. experimental evaluations. The robust PI controller can produce superior speed regulation than a PI controller designed only for the nominal parameters, including better disturbance rejection and H-infinity performance. Experimental results confirm the viability of the proposal, which can be seen as an efficient alternative to trade off performance and robustness for PI controllers in this application.

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