A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 3 Issue 4
Oct.  2016

IEEE/CAA Journal of Automatica Sinica

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Yige Zhao, Yuzhen Wang and Haitao Li, "State Feedback Control for a Class of Fractional Order Nonlinear Systems," IEEE/CAA J. Autom. Sinica, vol. 3, no. 4, pp. 483-488, Oct. 2016.
Citation: Yige Zhao, Yuzhen Wang and Haitao Li, "State Feedback Control for a Class of Fractional Order Nonlinear Systems," IEEE/CAA J. Autom. Sinica, vol. 3, no. 4, pp. 483-488, Oct. 2016.

State Feedback Control for a Class of Fractional Order Nonlinear Systems


National Natural Science Foundation of China 61374065, 61374002, 61503225, 61573215

the Research Fund for the Taishan Scholar Project of Shandong Province of China, and the Natural Science Foundation of Shandong Province ZR2015FQ003

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  • Using the Lyapunov function method, this paper investigates the design of state feedback stabilization controllers for fractional order nonlinear systems in triangular form, and presents a number of new results. First, some new properties of Caputo fractional derivative are presented, and a sufficient condition of asymptotical stability for fractional order nonlinear systems is obtained based on the new properties. Then, by introducing appropriate transformations of coordinates, the problem of controller design is converted into the problem of finding some parameters, which can be certainly obtained by solving the Lyapunov equation and relevant matrix inequalities. Finally, based on the Lyapunov function method, state feedback stabilization controllers making the closed-loop system asymptotically stable are explicitly constructed. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.


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