Reduced order design of large-scale discrete-time linear systems and its applications

This paper investigates the reduced-order design of large-scale discrete-time linear systems and discusses its applications like the design of observer-based reduced order controllers for the stabilization of large scale linear discrete-time control systems. The reduced order for a given linear plant is obtained using the dominant state of the linear plant. Using this reduced-order linear model, sufficient conditions are derived for the design of observer-based reduced order controllers. A separation principle has been established in this paper which demonstrates that the observer poles and controller poles can be separated and hence the pole-placement problem and observer design are independent of each other.