Model-based fuzzy control of TORA system: fuzzy regulator and fuzzy observer design via LMIs that represent decay rate, disturbance rejection, robustness, optimality

This paper presents a model-based fuzzy control of translational oscillations with a proof mass actuator (TORA) which is well known as a nonlinear control benchmark problem. The fuzzy regulator and fuzzy observer are designed by solving linear matrix inequalities (LMIs) that represent control performance such as the decay rate, disturbance rejection, robust stability, minimization of quadratic performance function and constraints on the control input and output. Simulation results show the utility of the model-based fuzzy control utilizing the LMIs.