Research on application of CDF method based on LMI in pendulum control

Based on the T-S fuzzy model of the single-inverted pendulum,a design method of fuzzy controller is presented by using the concept of CDF(compensation and division for fuzzy model) and the approach of linear matrix inequality.Also,the simulation is done based on MATLAB/Simulink.The result of simulation shows that CDF based on LMI can adjust more quickly than PDC based on LMI.It is also shown that the controller with concept of CDF is less conservative than that with PDC.The more rules,the more advantages.It is very suitable for the complex nonlinear systems.