Inverse of multivariable LTV systems: a bond-graph approach

The study of the inversion of multivariable linear time varying systems modelled by bond-graph is proposed in this paper. An analysis method based on non-commutative differential algebra concepts is presented. The inverse and the reduced inverse models are studied depending on the decouplability of the multivariable LTV system. To show the interest of this new approach, two applications have been realized, among which is the thyristor circuit model TCSC often used in power electronics.