Exact disturbance decoupling via state and full information feedback

Part of the Systems & Control: Foundations & Applications book series (SCFA)


The exact disturbance decoupling (EDD) problem is to find a controller such that the closed-loop transfer function from an exogenous disturbance signal to a controlled soutput is equal to zero. In classic as well as modern control theory, the problems of EDD as well as almost disturbance decoupling (ADD) occupy central positions. Several important problems can be recast as either EDD or ADD problems, for instance, H2 optimal control, robust control, decentralized control, noninteracting control, model reference, and tracking control. Several different versions of the EDD and ADD problems have been investigated extensively for the last two decades. In fact, it can be said that the development of the geometric approach to system theory started with the first version of a disturbance decoupling problem. Among others, the prominent works in disturbance decoupling include [1,3,32,50,87,95,104, 111]. The material of this chapter is based mainly on the work of Saberi et al. [75].


State Feedback Feedback Controller State Feedback Controller State Feedback Gain Invariant Zero 
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© Birkhäuser Boston 2007

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