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

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

2012-03-27

arxiv.org/abs/1203.5919v2

Computer Science

Systems and Control

18 pages, extended version of paper for AT journal

Scientific paper

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.

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