Fuzzy continuous gain scheduling H∞ control based on Taylor series fitting for robotic manipulators

A new approach to the design of a fuzzy continuous gain scheduled H_∞ controller based on Taylor series fitting for n-joint rigid robotic manipulators, which guarantees satisfactory dynamic characteristics in the whole movement range, is presented. This scheme combines the gain scheduled H_∞ theory with LMI approach to design a continuous gain scheduled H_∞ controller, which is applicable to systems with fast state variations so that the deficiency of the conventional gain scheduled controllers is overcome, with the use of Taylor series fitting. Fuzzy control is then incorporated so chat the designed controller possesses the characteristics of a fast response for large errors and a well-damped response for small errors. The system thus always has a good dynamic performance along with the variations of the system states. Simulations and experiments demonstrate the effectiveness of the designed controller.