A Controller Design Based on Affine T-S Fuzzy Model via Coordinate Transformation

Compared with the widely used T-S fuzzy model to represent the dynamics of a non-linear system, the affine T-S fuzzy model can be viewed as a more general one, in which there are affine terms in the local state-space equations of the consequent part of fuzzy rules. While the existing works had involved the affine terms in the system stability conditions when designing controllers, this paper pays attention to the compete availableness of the affine terms, and makes an effort to employ them as much as possible in the controller via certain appropriate coordinate transformation over the model. As a result, the proposed controller will make the closed-loop control system uniformly stable. In addition, a computer simulation is provided to illustrate the effectiveness of the controller proposed.