Computation of maximal pre-controllability submodules over a Noetherian ring

✍ Scribed by J. Assan; J.F. Lafay; A.M. Perdon

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 110 KB
• Volume: 37
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(99)00015-8

✦ Synopsis

For dynamical systems with coe cient in a ring it is not always possible to compute by a ÿnite procedure the maximal (A; B)-invariant submodule contained in the kernel of the output map C, namely V * (Ker C). This di culty prevents one from checking necessary and su cient geometric conditions for the solvability of noninteracting control problems. In this paper we will prove that, for dynamical systems with coe cients in a Noetherian ring, it is always possible to compute by a ÿnite procedure the maximal pre-controllability submodule contained in the kernel of the output map C, namely R * (Ker C). This result is useful in dealing with the block decoupling problem or the disturbance rejection problem.