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Disturbance decoupling via dynamic feedback. (English) Zbl 0801.93023

Bonnard, Bernard (ed.) et al., Analysis of controlled dynamical systems. Proceedings of a conference held in Lyon, France, July 1990. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 8, 347-357 (1991).
This paper addresses the disturbance decoupling problem via dynamic state feedback for control systems described by nonlinear differential equations. This had been done previously using two different approaches: Differential algebraic methods and the invertibility algorithm. In this paper, a differential geometric approach is followed. The so-called “dynamic controlled invariant distribution” is defined and conditions are given for the existence of the minimal such distribution containing the differentials of the output functions. Moreover, a relation is established between the minimal dynamic controlled invariant distribution containing the differentials of the output functions and the solvability of the dynamic disturbance decoupling problem.
For the entire collection see [Zbl 0773.00014].

MSC:

93B27 Geometric methods
93B50 Synthesis problems
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