Automatica, Vol.37, No.10, 1655-1662, 2001
Bezout identity related to reduced-order observer-based controllers for singular systems
A design method of causal reduced-order observer-based controllers for singular systems is presented. A new state-space representation of the Bezout identity for singular systems is developed. A parameterization of all causal reduced-order controllers is also given. The general results given here can be extended to various cases including minimal and full order observer-based controllers.