LMI-based robust stability analysis for fuzzy feedback linearization regulators with its applications

In order to cope with parametric uncertainties of nonlinear systems, a numerical analysis method of a robust feedback linearization control scheme based on fuzzy models is proposed. The fuzzy feedback linearization control scheme ensures that the control operates stably under bounded parametric uncertainties. For the system with known uncertainty bounds, linear matrix inequality based robust stability condition is derived and a robust fuzzy feedback linearization regulators can be designed by choosing the control parameters satisfying the inequalities which give sufficient conditions for the closed loop system to be stable. To verify the validity and effectiveness of the designed stability analysis methods, the suggested analysis techniques are applied to a balancing control of inverted pendulum systems.