On Construction of an H∞ Preview Output Feedback Law
Kotaro HASHIKURA, Akira KOJIMA, Yoshito OHTA
In preview control problems, efficient use of future reference or disturbance signals is investigated to improve control performances. This paper addresses a class of H∞ preview control problems where information on the state variables and exogenous disturbance is only partially available, and reveals the clear preview-feedforward structure of the controller. To that end, the J-spectral factorization technique in the literatures is reviewed with explicit consideration of the PDE realization of the time-delay element, and a state-space interpretation is given by proposing new state-variable transformations. The explicit solution of the control-type operator Riccati equation is also constructed by the state-variable transformations.