| Based on the theory of fractional calculus,a more accurate fractional-order ship power system model with parallel generators is constructed.The dynamical characteristics and control of the fractionalorder ship power system are systematically studied.Based on the definition of Caputo fractional calculus and the Adomian decomposition algorithm,the numerical solution of the fractional-order ship power system is derived,and the decomposition of the trigonometric function product term is optimized.Dynamics of the fractional-order ship power system is analyzed by phase diagrams,bifurcation diagrams,Lyapunov exponents(LEs)and spectral entropy complexity method.The results show that it has rich dynamical characteristics,including variable phase space trajectory,coexisting attractors and complex bifurcations.Moreover,some interesting phenomena are observed,such as angular instability,multi-scroll chaotic attractor and the attractor offset based on the initial values.The influencing factors of angular instability are explored,and the extreme multistability phenomenon of the system is observed.Focusing on at the angular instability phenomenon in the fractionalorder ship power system,based on the theory of fractional calculus and sliding mode control,a fractional-order adaptive sliding mode controller is proposed,and the stability of the controller is proved.The experimental results show that the control method is effective and the controller has good performance,which lays a foundation for the application of the fractionalorder ship power system.Based on the DSP experimental platform,the hardware circuit and software algorithm of the fractional-order ship power system are designed,and the same experimental results as those on the MATLAB simulation platform were successfully observed on the oscilloscope.The physical realizability of the fractional-order ship power system is verified,and the hardware experiment foundation is laid for the practical application of the system.27 Figures,1 Table and 99 References... |
