Almost disturbance decoupling by a proportional derivative state feedback law

✍ Scribed by V.A. Armentano

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 579 KB
• Volume: 22
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(86)90049-x

✦ Synopsis

In this paper the almost disturbance decoupling problem (ADDP) for a multivariable linear system is studied by means of a proportional derivative (PD) state feedback law, u = Fx + R~. A condition for solvability of the ADDP by state feedback has been given by Willems (IEEE Trans. Aut. Control, AC-26, 235, 1981) who also indicated that the solution of the ADDP requires high gain state feedback (F --* oo). It is shown here that under the condition given by Willems, the ADDP also admits a solution by a PD law involving finite maps. It is also shown that the type of PD law considered here preserves some structural properties of linear systems.