Title
Sensitivity reduction of adaptive repetitive control system with asymptotical rejection against uncertain periodic disturbance
Abstract
This paper deals with a repetitive control problem for the cases where the period of periodic disturbances to be rejected is uncertain but is within known lower and upper bound. A new adaptive repetitive control system with on-line estimation of the period is proposed not only to guarantee stability of the overall system but also both to reject any periodic disturbances with the uncertain period and to reduce sensitivity against any disturbances, for example, non-periodic persistent ones. The design problem is reduced to a simple and feasible l1 norm minimization problem. The controller can be obtained easily by solving a simple linear programming problem. Simulations show the effectiveness of the proposed controller for rejection of periodic disturbances and sensitivity reduction.
Year
DOI
Venue
2010
10.1109/CCA.2010.5611220
Control Applications
Keywords
Field
DocType
adaptive control,linear programming,minimisation,sensitivity,stability,uncertain systems,adaptive repetitive control system,asymptotical rejection,linear programming problem,minimization problem,period online estimation,sensitivity reduction,stability,uncertain periodic disturbance
Mathematical optimization,Control theory,Control theory,Computer science,Adaptive system,Upper and lower bounds,Repetitive control,Control engineering,Linear programming,Control system,Adaptive control,Periodic graph (geometry)
Conference
ISSN
ISBN
Citations 
1085-1992
978-1-4244-5363-4
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Manabu Yamada143.18
Yasuyuki Funahashi24211.27