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Stabilization Analysis for a Class of Nonlinear Systems Based on Characteristic Model

Shaomin He* and Haibo Ji
International Journal of Control, Automation, and Systems, vol. 16, no. 6, pp.2781-2789, 2018

Abstract : "This paper studies the characteristic modeling problem for a class of single input single output (SISO) nonlinear systems with a relative degree of two. Firstly, to deal with the complexities of high-order nonlinear systems, we provide a class of low order and slowly time-varying linear systems to represent the original systems. Secondly, based on the characteristic model, we propose a linear controller by using coefficients obtained from system online identification. Through the above two steps, we solve the stabilization problem of closed-loop system composed of the characteristic model and the linear controller. Furthermore, the stability analysis of the closed-loop system composed of an exact discrete-time model and a linear controller is given. Finally, two simulation examples are given to show the effectiveness of the proposed design. "

Keyword : Characteristic model, nonlinear system, sampled-data output feedback, stability.

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