Comments on ‘achieving diagonal interactor matrix for multivariable linear systems with uncertain parameters’

✍ Scribed by Carla A. Schwartz; Aiguo Yan

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 385 KB
• Volume: 31
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(94)00126-4

✦ Synopsis

In this note we propose a criterion for determining whether or not a multivariable linear system may be made to have a diagonal interactor with the possible use of diagonal precompensation. We present a constructive procedure to achieve a diagonal interactor for multivariable linear systems when possible This procedure is simpler than that given in Gibbens et al. [Automuricu, 29, 1547[Automuricu, 29, -1550 P93N.

, c,}, and {d,, dz, , d,,} can be found,t such that

K(s) is proper and r,,,,,[K(s)] = 0.

Observe that if T = T" satisfies Assumption 1, so does T"-'. inductive 2,. .Y!ed"_,)

hypothesis, {c,, , c,_,} and can be found such that K"-'(s) is proper and t The sets {c,} and {d,} found at each step of the inductive procedure, are not assumed to be related to those found at a previous step.