Disturbance Decoupling and Output Stabilization

Abstract

In this chapter we first discuss a simple feedback synthesis problem, con-cerned 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 under-lies 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.