Abstract

Digital control systems design has become an important field in electrical engineering and in systems and control theory. One of the important and fundamental issues in digital control systems design is the controller coefficient sensitivity because even vanishingly small perturbations controller or filter coefficients may destabilize the resulting systems. As is well known, fuzzy control is one of the most effective techniques to handle nonlinear systems, especially in situations where there is a large uncertainty or unknown variation in plant parameters and structures. This survey concerns with the brief introductions of non-fragile controller for nonlinear systems without parameter uncertainties, in which the Takagi-Sugeno (T-S) fuzzy model is employed to represent the nonlinear system.

Keywords: Non-fragile H∞ control; T-S fuzzy system