TY - JOUR
T1 - Funnel control in the presence of infinite-dimensional internal dynamics
AU - Berger, Thomas
AU - Puche, Marc
AU - Schwenninger, Felix L.
PY - 2020/5
Y1 - 2020/5
N2 - We consider output trajectory tracking for a class of uncertain nonlinear systems whose internal dynamics may be modelled by infinite-dimensional systems which are bounded-input, bounded-output stable. We describe under which conditions these systems belong to an abstract class for which funnel control is known to be feasible. As an illustrative example, we show that for a system whose internal dynamics are modelled by a transport equation, which is not exponentially stable, we obtain prescribed performance of the tracking error.
AB - We consider output trajectory tracking for a class of uncertain nonlinear systems whose internal dynamics may be modelled by infinite-dimensional systems which are bounded-input, bounded-output stable. We describe under which conditions these systems belong to an abstract class for which funnel control is known to be feasible. As an illustrative example, we show that for a system whose internal dynamics are modelled by a transport equation, which is not exponentially stable, we obtain prescribed performance of the tracking error.
KW - Adaptive control
KW - BIBO stability
KW - Funnel control
KW - Infinite-dimensional systems
UR - http://www.scopus.com/inward/record.url?scp=85083081111&partnerID=8YFLogxK
U2 - 10.1016/j.sysconle.2020.104678
DO - 10.1016/j.sysconle.2020.104678
M3 - Article
AN - SCOPUS:85083081111
VL - 139
JO - Systems and control letters
JF - Systems and control letters
SN - 0167-6911
M1 - 104678
ER -