Adaptive control of linear time-varying plants

✍ Scribed by Kostas Tsakalis; Petros Ioannou

• Publisher: Elsevier Science
• Year: 1987
• Tongue: English
• Weight: 797 KB
• Volume: 23
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(87)90075-6

✦ Synopsis

In this paper the model reference adaptwe control (MRAC) problem of a class of hnear time-varying (LTV) plants is considered The plant parameters are assumed to be smooth, bounded functions of t~me which satisfy the usual assumptions of MRAC for tlme-mvanant plants, at each frozen time instant It is first shown that ff the plant parameters are sufficiently slowly varying w~th t~me, a control parameter vector w~th smooth elements exists, such that the closed-loop plant behaves almost hke a hnear tlme-mvarmnt reference model The robust adaptive law proposed m loannou and Tsakahs (1986) IEEIz Trans Aut Control, AC-31, 1033 ts then used to adjust the controller parameters and estabhsh boundedness of all signals m the adaptwe loop for any bounded imtlal condttmns It ts shown that the bound for the residual tracking error depends on the speed of the plant parameter variations in such a way that as these parameters become constant the bound reduces to zero