On the Switching Control Design for Hammerstein/Wiener Models

Abstract

The main purpose of this paper is the design of switching PID controllers for Hammerstein and Wiener models. The first model consists of a linear dynamic subsystem associated with a polynomial static nonlinearity at the output. The second is simply the inverse. Conventional control strategies for these models have been widely used the exact inverse control method such that the nonlinear static functions are compensated by their inverses. The performance of these classical strategies becomes limited when the considered static nonlinearities are not exactly invertible. To overcome this difficulty, approximation polynomial inverse of the static nonlinearities are considered. Then, we suggested a new control configuration which involves the switching control method. Finally, illustrative examples further substantiate the efficacy of the proposed control schemes.