Minimum-size design of regulation systems and the application to Space Station

A method is proposed to determine the sizes of the regulator and observer and to design the feedback and Kalman gain matrices for the reduced system. The sizes determined are minimum in the sense of satisfying the specified eigenvalue limits when the interaction between the regulator and the observer can be neglected. The resulting sizes will depend on the properties of the original system and the desired response. If the interaction between the regulator and the observer becomes substantial, more modes in the observer should be included, or other methods should be used for reducing the observation spillover or control spillover.