An Algorithm for Multi-Realization of Nonlinear MIMO Systems

This paper presents a theoretical approach to implementation of the “Multi-realization of nonlinear MIMO systems”. This method aims to find state-variable realization for a set of systems, sharing as many parameters as possible. In this paper a special nonlinear multi-realization problem, namely the multi-realization of feedback linearizable nonlinear systems is considered and an algorithm for achieving minimal stably-based multi-realization of a set of nonlinear feedback linearizable systems is introduced. An example that illustrates this algorithm is also presented.