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This paper applied the Characteristic Modelling Theory to a cart-inverted pendulum system. Firstly, the characteristic model of the cart-inverted pendulum is deduced, and the ranges of characteristic parameters are estimated. Secondly, a type of Golden Section Adaptive(GSA) controller with logical integral, logical derivative control law and a gradient descent algorithm to identify the parameters...
In this paper, a novel approach is presented to approximate the general fractional order nonlinear dynamic systems. Firstly, a generalized T-S fuzzy method is used to approximate the original models. Then a new method to approximate the fractional order T-S models is utilized, and obtain a series of integer order linear model. It is revealed for the first time that a general fractional order nonlinear...
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