Symbolic Polynomial Tools for Nonlinear Control Systems

A collection of functions addressing various modelling problems for nonlinear control systems has been developed in Mathematica environment. The mathematical apparatus behind the programs is based on the theory of non-commutative skew polynomial rings. The functions described in paper allow to find the state-space realization of the set of input-output equations, reduce the system equations, compute the transfer matrix of the nonlinear system, check the transfer equivalence of two systems, and finally, the feedforward and feedback compensators can be found such that the compensated systems transfer function coincides with that of the given system.