Disturbance Decoupling and Output Stabilization

Abstract

In this chapter we first discuss a simple feedback synthesis problem, concerned with decoupling from the system output the effect of disturbances acting at the input. Examination of this problem leads naturally to the fundamental geometric concept of (A, B)-invariant subspace, which underlies many of our constructions and results in later chapters. As an immediate application, we show how state feedback may be utilized to stabilize outputs or, more generally, to realize a given set of characteristic exponents in the time response of the output.