In this paper, is proposed a state feedback optimal control algorithm for uncertain linear systems, with norm bounded uncertainties. It is based on the use of Algebraic Riccati Equation - Genetic Algorithm (ARE-GA) developed for non-convex optimization problem resolution. The case of an uncertain Permanent Magnet Synchronous Motor (PMSM) based on the use of an Extended Kalman Filter (EKF) to estimate both position and speed, without any mechanical sensor is considered to illustrate the efficiency of the proposed technique.
Quadratic Stabilization, Uncertain System, Riccati Equation, Convex, Non-convex, Genetic Algorithm, Permanent Magnet Synchronous Motor, Extended Kalman Filter.
Khira DCHICH, Abderrahmen ZAAFOURI, Abdelkader CHAARI, "Combined Riccati-Genetic Algorithms Proposed for Non-Convex Optimization Problem Resolution - A Robust Control Model for PMSM", Studies in Informatics and Control, ISSN 1220-1766, vol. 24(3), pp. 317-328, 2015. https://doi.org/10.24846/v24i3y201509
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