Region of Admissible Values for Discrete-time Nonlinear Control System Linearized by Output Feedback.

The paper considers stability of nonlinear discrete-time system linearized by output feedback. The boundedness of the control signal inside the linearized closed-loop system is studied in the research presented in this article. The algorithm for determination of the region of admissible inputs of the closed-loop system ensuring bounded-input bounded-output behavior of the controlled model is introduced. Both static and dynamic output feedback linearization algorithms are examined. To make the research more clear, the main results and applicability of the theory presented in the paper are demonstrated on several examples.