The feedback control of fractional order unified chaotic system |
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Authors: | Yang Jie and Qi Dong-Lian |
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Institution: | College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China |
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Abstract: | This paper studies the stability of the fractional order
unified chaotic system. On the unstable equilibrium points, the
``equivalent passivity' method is used to design the nonlinear
controller. With the definition of fractional derivatives and
integrals, the Lyapunov function is constructed by which it is
proved that the controlled fractional order system is stable. With
Laplace transform theory, the equivalent integer order state
equation from the fractional order nonlinear system is obtained, and the
system output can be solved. The simulation results validate the
effectiveness of the theory. |
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Keywords: | state feedback control fractional order unified chaotic
system Lyapunov function |
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