Automatica, Vol.36, No.12, 1897-1904, 2000
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 is studied. Based on the solvability conditions and the solution parameterization of Diophantine equations over the stable rational fractional ring M(s), the disturbance rejection problem in the general case is solved. A simple cost function is defined to reflect the transient performance of control signal caused by deterministic signals. Finally, the design of the two-degree-of-freedom optimal Wiener-Hopf controller is presented.
Keywords:two-degree-of-freedom control systems;tracking and disturbance rejection constraints;parameterization;Wiener-Hopf optimal design