A new class of reduced-order controllers is obtained for the H/sub /spl infin// problem. The reduced-order controller does not compromise the performance attained by the full-order controller. An algorithm for deriving the reduced-order H/sub /spl infin// controller is presented in the case of continuous time. The reduction in order is related to unstable invariant zeros of the subsystem from disturbance inputs to measurement outputs. In the case where the subsystem has no infinite zeros, the resulting order of the H/sub /spl infin// controller is lower than that of the existing reduced-order H/sub /spl infin// controller designs which are based on reduced-order observer design. Furthermore, the mechanism of the controller order reduction is analyzed on the basis of the two-Riccati equation approach.
|Title of host publication||Proceedings 39th IEEE Conference on Decision and Control (Sydney, Australia, December 12-15, 2000)|
|Place of Publication||New York|
|Publisher||Institute of Electrical and Electronics Engineers|
|Number of pages||6|
|Publication status||Published - 2000|