Control Of NARMAX Model Triangular Structure Via Backstepping

In 1985, Billings presented a mode of Nonlinear Auto Regressive Moving Average with Xogenous inputs (NARMAX) with exogenous variables time series of (Nonlinear Auto Regressive Moving Average with Xogenous inputs, NARMAX), NARMAX model original form is polynomial form, about parametric linear. According to Taylor theorem and Nerode the limited realization theory, Billings etc. prove the universality of NARMAX model's application. In recent years as discrete nonlinear systems of the mathematical model. NARMAX model has become a main development trend and has been widely used in medicine, electric power, communication, ship, meteorological and food processing etc. The research in NARMAX model of controller design method has also become the need of the development which is discrete nonlinear system control.Nonlinear system backstepping design is a kind of control method through the construct system, Combining Lyapunov stability analysis method ensure the stability of the closed-loop system. In dealing with nonlinear system control problem,the Backstepping method, has unique superiority. In recent years, this has attracted many scholars' attention, Backstepping cancels the full matching constraint conditions of system indeterminacy, thus makes relatively complicated nonlinear system control problems were solved. However Backstepping method is currently used only in control scheme of nonlinear systems with triangle structure single input and single output system, so the development and application of this method also become the current concern topic in control areas.In this paper, study a problem of knowen structures triangular model of the NARMAX Backstepping control. First introduces the research situation of discrete nonlinear system control. NARMAX model in discrete nonlinear system modeling on the present status and development, the basic principle of discrete-time system Backstepping controller design method. After is studied for a class may constitute a strict feedback triangle structure model of NARMAX Backstepping design method, to undertake the controller design, combining the Lyapunov stability analysis method to verify its stability. Then expand the coverage of the model On the structured triangle NARMAX model with implicit function forms using Backstepping method obtain the controller design. Finally multivariable discrete nonlinear system NARMAX model, this paper introduces the Backstepping controller design mechanical arm model used in motor control modeling Backstepping controller design mechanical arm model used in motor control modeling situations points out some existing problems in the MIMO nonlinear discrete system Backstepping control design.