✦ LIBER ✦

The decentralized stabilization and control of a class of unknown non-linear time-varying systems

✍ Scribed by E.J. Davison

Publisher: Elsevier Science
Year: 1974
Tongue: English
Weight: 512 KB
Volume: 10
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(74)90041-7

No coin nor oath required. For personal study only.

✦ Synopsis

to stabilize and satisfactorily control the whole system S by using only local controllers about the individual subsystems without a knowledge of the manner of the actual interconnections of the whole system ? Sufficient conditions are obtained for such a result to hold true; in particular it is shown that a system S consisting of a number of subsystems S~ connected in an arbitrary way between themselves with finite gains: Si: £i=A,(xi, t)xl+bl(xi, t)ui, yi=c',(xi, t)xi where A, and I~ have a particular structure, may be satisfactorily controlled by applying only local controllers C~ about the individual subsystems:

C,: u, = K'l(p)xi

where K~ is a constant gain matrix with the scalar p appearing as a parameter, provided p is large enough.

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