Nonlinear time-varying fractional order system simulation based on MATLAB

With the development of computer technology, fractional order systems are widely used in fields of signal processing and control processing, fluid mechanics and so on. It has gradually become the focus of control science and engineering. In this paper, authors summarize the related definitions and properties of fractional order systems. And then, it lists and compares several Simulation methods of the nonlinear time-varying fractional systems. What's more, authors make a series of different systems simulating tests to verify the existing stability criterion and put forward relative conjectures based on Simulink. And it builds a set of tools that can be used in system simulations, making full preparations for further studying the fractional order correlation properties.