Switching strategy based on homotopy continuation for non-regular affine systems with application in induction motor control

2012/03/27 by Alex Borisevich, Borisevich, Alex, Gernot Schullerus +1
Engineering · #Adaptive Control of Nonlinear Systems #Electric Power Systems and Control #FOS: Electrical engineering #Iterative Learning Control Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1203.5919

openalex publication_date 2012/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the article the problem of output setpoint tracking for affine non-linear system is considered. Presented approach combines state feedback linearization and homotopy numerical continuation in subspaces of phase space where feedback linearization fails. The method of numerical parameter continuation for solving systems of nonlinear equations is generalized to control affine non-linear dynamical systems. The illustrative example of control of MIMO system which is not static feedback linearizable is given. Application of proposed method demonstrated on the speed and rotor magnetic flux control in the three-phase asynchronous motor.

Citations

• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate

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