Fuzzy Control of Multivariable Nonlinear Systems Using T-S Fuzzy Model and Principal Component Analysis Technique

In this work, a new nonlinear control method is proposed, which integrates the Takagi-Sugeno (T-S) fuzzy model with the Principal Component Analysis (PCA) technique. The approach uses PCA to reduce the system's dimensionality, minimizing the number of fuzzy rules required in the T-S fuzzy model. This reduction not only simplifies the system variables but also decreases the computational complexity, resulting in a more efficient control with smooth transient responses and zero steady-state error. To validate the performance of this PCA-based approach for both system identification and control, an interconnected double-tank system was employed. The results demonstrate the method's capacity to maintain control accuracy while reducing computational load, making it a promising solution for applications in industrial and engineering systems that require robust, efficient control mechanisms.