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CHAPTER 2 LITERATURE SURVEY The analytical structures of the general fuzzy controller with linear control rules were derived by Ying 2 4 It clearly shows that how a fuzzy controller with linear control rules and Mamdani minimum inference is the sum of a global two-dimensional multilevel relay and a local nonlinear proportional-integral PI controller The properties of the nonlinear gains of the local PI controller are investigated It is proven that as the number of input fuzzy sets approaches infinity the global multi-level two-dimensional relay approaches a global linear PI controller while the local nonlinear PI controller disappears General fuzzy PI PD controllers using multiple fuzzy sets were proposed 1 4 5 6 It has been demonstrated that fuzzy self-organizing control can provide good attitude control of the earth resources satellite a multivariable system with significant dynamic cross-coupling
The controller requires limited process knowledge and its performance is shown better than that of a complex P D controller The learning capabilities of the controller compensated for the process model A closed-form formula for a nonlinear fuzzy controller with two inputs triangular fuzzy numbers and Zadeh fuzzy logic to evaluate linear fuzzy control rules was presented in several research papers It was demonstrated through simulation that the multi-region FLC performed well in controlling the DC series motor and single-link manipulator which is a highly nonlinear process Moreover the controller was shown robust to variations in dead zone nonlinearities It has been shown that an FLC with linear control rules and Mamdani minimum inference is the sum of a global two-dimensional multi-level relay and a local nonlinear PI controller 2 3
