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A mathematical model for the double inverted pendulum is first presented. Then adaptive neural fuzzy inference system based on the state variables fusion is proposed for the control of the double inverted pendulum. The controller uses error back-propagation and least square estimator hybrid training algorithm to adjust the membership functions of each variable, optimize fuzzy rules, and identify the...
In this paper, a sufficient condition is derived to guarantee the globally asymptotic stability of the simplest Takagi-Sugeno (T-S) fuzzy control system based on the circle criterion. Two numerical examples are given to demonstrate how to use this condition in analyzing the T-S fuzzy control systems. Performance comparisons are also made between the simplest T-S fuzzy controller and linear compensators.
In our paper, the analytical structures and properties of the one and 2D fuzzy controllers are first investigated in details. The nature of these two kinds of fuzzy controllers is next probed from the viewpoint of control engineering. For the one dimensional fuzzy controller, it is concluded that this controller is a combination of a saturation element and a nonlinear proportional controller, and...
We propose a fuzzy logic-based power command enhancement scheme for the mobile station of a cellular phone system. By defining the necessary linguistic variables of the power commands and corresponding fuzzy inference rules, an embedded fuzzy unit (EFU) is set up. The role of our EFU is to produce appropriate digital power commands instead of one-bit discrete commands directly obtained from the base...
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