TY - JOUR
T1 - Adaptive stabilization of impulsive switched linear time-delay systems
T2 - A piecewise dynamic gain approach
AU - Yuan, Shuai
AU - Zhang, Lixian
AU - Baldi, Simone
N1 - Accepted Author Manuscript
PY - 2019
Y1 - 2019
N2 - In the presence of discontinuous time-varying delays, neither Krasovskii nor Razumikhin techniques can be successfully applied to adaptive stabilization of uncertain switched time-delay systems. This paper develops a new adaptive control scheme for switched time-delay systems that can handle impulsive behavior in both states and time-varying delays. At the core of the proposed scheme is a Lyapunov function with a dynamically time-varying coefficient, which allows the Lyapunov function to be non-increasing at the switching instants. The control scheme, guaranteeing global uniformly ultimate boundedness of the closed-loop system, substantially enlarges the class of uncertain switched systems for which the adaptive stabilization problem can be solved. A two-tank system is used to illustrate the effectiveness of the method.
AB - In the presence of discontinuous time-varying delays, neither Krasovskii nor Razumikhin techniques can be successfully applied to adaptive stabilization of uncertain switched time-delay systems. This paper develops a new adaptive control scheme for switched time-delay systems that can handle impulsive behavior in both states and time-varying delays. At the core of the proposed scheme is a Lyapunov function with a dynamically time-varying coefficient, which allows the Lyapunov function to be non-increasing at the switching instants. The control scheme, guaranteeing global uniformly ultimate boundedness of the closed-loop system, substantially enlarges the class of uncertain switched systems for which the adaptive stabilization problem can be solved. A two-tank system is used to illustrate the effectiveness of the method.
KW - Adaptive control
KW - Impulsive switched linear systems
KW - Mode-dependent dwell time
KW - Time-varying delays
UR - http://www.scopus.com/inward/record.url?scp=85061892498&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2019.02.004
DO - 10.1016/j.automatica.2019.02.004
M3 - Article
AN - SCOPUS:85061892498
SN - 0005-1098
VL - 103
SP - 322
EP - 329
JO - Automatica
JF - Automatica
ER -