Abstract
The use of linear control laws for nonlinear systems greatly simplifies the task of synthesis. But the feasibility of their application makes sense only in the vicinity of a point at which the linearized model behaves like the original. To extend this regulatory feedback linearization is used, in which the original nonlinear model is transformed not approximate, and an equivalent linear. In the beginning, there is a control u, in which the non-linear model of the object is converted into an equivalent linear him with a new control ur. Next, using a linear control laws, is ur new control allows to apply linear synthesis method to retrieve the object model. This method requires the recognition of all of the state vector, so in our study we will evaluate it with the help of an observer state of complete order.

 

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