H_2 control of preview systems
Abstract
The H_2-optimal controller for systems with preview, in which the knowledge of external input is available in advance for the controller, is derived. The single input case is first considered and solved by transforming the problem into a non-standard LQR problem. It turns out that the extensions to multiple inputs and multiple preview times cases are straightforward. In every case considered, the controller consists of a static state feedback plus a finite impulse response block.
