The Disturbance Decoupling Problem for Systems Over a Principal Ideal Domain
The use of geometric methods in the study of disturbance decoupling problems for systems over a ring provides in general only necessary conditions for the existence of solutions. In this paper the authors develop a geometric procedure which allows to test the existence of solutions to problems of the above kind and to construct one of them, if any, for injective systems with coefficients in a principal ideal domain.
KeywordsInvariant Subspace Geometric Approach Linear Dynamical System Principal Ideal Domain Feedback Type
Unable to display preview. Download preview PDF.
- G. Basile and G. Marro, Controlled and Conditioned Invariant Subspace in Linear System Theory, J. O.T. A. 3 (1969)Google Scholar
- G. Conte and A.M. Perdon, Systems over Principal Ideal Domains. A Polinomial Model Approach, SIAM J. Control Opt. 20 (1982)Google Scholar
- M.L.J. Hautus, Controlled Invariance in Systems over rings, Springer Lecture Notes in Control and Info. Sci. 39 (1982)Google Scholar
- E. Kamen, Lectures on Algebraic System Theory. Linear Systems over Rings, NASA Contractor Report 3016 (1976)Google Scholar
- E. Sontag, Linear Systems over Rings : a Survey, Ricerche di Automatica 7 (1976)Google Scholar
- E. Sontag, Linear Systems over Rings : a (Partial) Update Survey, Proc. IFAC/81, Kyoto, (1981)Google Scholar
- M. Wohnam, “Linear multivariable control : a geometric approach”, 3rd Ed. Springer Verlag, 1985Google Scholar