Open AccessDiscrete‐time adaptive control of uncertain sampled‐data systems with uncertain input delay: a reduction
Author(s) -
Abidi Khalid,
Soo Hang Jian,
Postlethwaite Ian
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.1440
Subject(s) - control theory (sociology) , bounded function , adaptive control , upper and lower bounds , reduction (mathematics) , lti system theory , computer science , discrete time and continuous time , constant (computer programming) , stability theory , control (management) , mathematics , linear system , nonlinear system , mathematical analysis , statistics , physics , geometry , quantum mechanics , artificial intelligence , programming language
This study proposes a discrete‐time adaptive control approach for uncertain single‐input single‐output linear time‐invariant sampled‐data systems with uncertain, constant input time delay that has a known upper‐bound, without explicitly estimating the time delay. To cope with the unknown time delay, a reduction approach similar to that proposed by Artstein in 1982 is used, which results in a delay‐free system that simplifies the control law design. In addition, the proposed control approach is capable of coping with bounded exogenous disturbances. A rigorous stability analysis shows that the proposed control approach drives the system output to a bound around the reference signal asymptotically, in the presence of an exogenous disturbance. Moreover, simulation results are shown to verify the approach.