| This work develops a new method for the implementation, synthesis and analysis of Fuzzy Logic Controllers (FLC). For a large class of practical problems this new method greatly reduces memory storage requirements and is significantly more computational efficient than existing methods for Fuzzy Logic Controllers implementations. Fuzzy PID controllers are included in this class.; The key idea of this method is that only a small set of "active" rules which are needed at each time step and they can be generated, rather than stored. We call this new method the Active Cell Method, since each rule can be viewed as a "cell" in a table.; The contributions of this research are both practical and analytical. The Active Cell Method provides a systematic methodology for the design, validation and analysis of Fuzzy Logic Controllers. The memory requirements and computational load are dramatically reduced in comparison with existing methods. In addition, controllers that are derived using the Active Cell Method can be analytically compared to Classical Controllers, which are used to crisp systems. In particular, the stability properties of Fuzzy Logic Controllers can be determined. |
