Calculation of Interactor Matrix for Nonlinear Multivariable Systems via Infinite Zero Structure Algorithm

An interactor matrix plays an important role in the multivariable linear and nonlinear control systems theory. This paper proposes a method to obtain the interactor matrix for nonlinear multivariable systems. The only existing algorithm works only on square systems; moreover, it cannot guarantee providing the interactor matrix for these systems. The proposed method of this paper improves the above algorithm so that both mentioned defects are solved. The modified algorithm uses the infinite zeros structure for the nonlinear system and then it obtains the structure of interactor matrix. The effectiveness of the introduced method has been shown using various examples.