On the two-degree-of-freedom Wiener-Hopf optimal design with tracking and disturbance rejection constraints

In this paper, the design of the two-degree-of-freedom optimal Wiener-Hopf controller with asymptotic tracking and disturbance rejection constraints i s studied. Based on the solvability conditions and the solution parameteriz ation of Diophantine equations over the stable rational fractional ring M(s ), the disturbance rejection problem in the general case is solved. A simpl e cost function is defined to reflect the transient performance of control signal caused by deterministic signals. Finally, the design of the two-degr ee-of-freedom optimal Wiener-Hopf controller is presented. (C) 2000 Elsevie r Science Ltd. All rights reserved.