A unification and comparison of the methods of construction for decentralized stabilizing controllers

Abstract

In this thesis, the construction and characterization methods that use stable proper fractional representation for the solution of decentralized stabilization problem is presented in a unified manner. Four methods of construction are given starting with a right coprime fractional representation of the plant over the ring of stable transfer functions. One of these methods is a new construction procedure that exploits the Smith-McMillan canonical form. Connections between some of the characterization methods are explicitly shown.