Initial setting of Takagi-Sugeno zero-order fuzzy controllers by state space-based emulation of “black-box” SISO controllers

In a large number of applications fuzzy controllers have replaced existing linear controllers and brought new quality of control. The design of fuzzy controllers has a heuristic character and therefore, the setting of fuzzy controller parameters may become a tedious, time consuming job. The paper presents a method for initial setting of fuzzy controllers based on the use of state space trajectories associated with controller inputs. The described state space-based design approach does not depend on a type of emulated controller, so both linear and nonlinear controllers, including a human operator, can be transformed into an adequate fuzzy control function. The initial setting algorithm has been successfully tested by simulations in Matlab.