Design of an H infinity controller for the Delta robot: experimental results

This paper deals with an efficient implementation of an H multi-variable controller on the three degrees of freedom (DOF) parallel robot namely the Delta robot'. The H controller is designed by the mixed sensitivity approach in which the sensitivity function matrix S and the complementary sensitivity function matrix T are taken into account. For this purpose, a nonlinear analytical dynamic state model is developed and a tangent linearization procedure is used to obtain a multi-variable linear model around a functional point. Real-time experiments were performed to compare the centralized H controller with a classical decentralized Proportional Integral Derivative (PID) controller. Experimental tracking results show that the performances of the PID compared to those of the H decrease when the movement dynamic is increased. At high dynamic (12Ge), it is shown that the maximum tracking error and the error around the stop positions of the H are, respectively, 80 and 60% of the PID. The experiments of the load variation have proven that the H is more robust than the PID. The steady-state root mean square error of the H is less than 60% of the one obtained using the PID controller.