Control of a Class of Complex Nonlinear Systems via a Model based Fuzzy Approach

Model based fuzzy logic control has recently been suggested for the control of complex nonlinear systems, and various results have been reported. These include results mostly based on the so-called Takagi-Sugeno (T-S) fuzzy model. However, the following critical issues remain unsolved: can the fuzzy controller designed to stabilize the T-S fuzzy model also stabilize the original nonlinear system, and if so, how can it be designed to achieve such stabilization of the original nonlinear system? Furthermore, if the fuzzy controller cannot stabilize the original nonlinear system, can a compensating controller be designed, working together with the fuzzy controller so that the original nonlinear systems can be stabilized? This project will investigate these issues. The outcome of the project is expected to be a more sound methodology for the stabilization of complex nonlinear systems via a model based fuzzy control approach, and in turn, the proposed methodology will provide control engineers with more solid controller design tools in practice.