A GENERAL FRAMEWORK FOR CONSTRAINED CONFIGURATION CONTROL LAW DESIGN

Abstract It is well-known that any linear time-invariant system with an associated state-space realization may be represented as a linear fractional interconnection of a dynamic system and a static gain, where the static gain captures all the relevant parametric information present in the original system. Extending this notion we develop a procedure for reducing any dynamic feedback control design problem to an equivalent static output feedback design. The principal contribution of this work is the inclusion within this framework of a simple mechanism for incorporating arbitrary structural constraints on the compensator. The result in the general case is a decentralized static output feedback design problem. Although such problems are difficult to solve, we have had favorable results with the application of Newton-type algorithms. A turbine engine control design example is provided to illustrate the application of the method.