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Stable and robust fuzzy controller for uncertain nonlinear systems based on a multiple-grid-point approach

This paper presents the design of a stable and robust fuzzy controller for nonlinear systems subject to large parameter uncertainties based on a multiple-grid-point (MGP) approach. Using a stability criterion derived which involves solving an algebraic Riccati equation (ARE), a single-grid-point (SGP) fuzzy controller which can stabilize an uncertain local system in the parameter space can be designed. By combining several fuzzy controllers, a more robust MGP fuzzy controller can be constructed to cover the whole parameter space.