Abstract
This paper solves the adaptive dynamic surface asymptotic tracking control problem of fractional order nonlinear systems(FONSs) with non-strict feedback structure. Firstly, the fuzzy logic systems(FLSs) is utilized to deal with unknown nonlinear functions to eliminate the influence of uncertainties. Secondly, the problem of “explosion of complexity” is solved by designing dynamic surface control(DSC) algorithm. The stability and asymptotic tracking performance of the system are proved by using fractional Lyapunov function theory. Finally, a simulation example is supplied to verify the effectiveness of the control method.
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