Authors:
Nina Vunder
;
Natalia Dudarenko
and
Valery Grigoriev
Affiliation:
Faculty of Control Systems and Robotics, ITMO University, 49 Kronverksky Pr., Saint Petersburg and Russia
Keyword(s):
Deviation, Peak Effect, Linear Control Systems, Delay, Discrete Systems, Eigenvectors, Modal Control, Condition Number, Norms.
Related
Ontology
Subjects/Areas/Topics:
Adaptive Signal Processing and Control
;
Informatics in Control, Automation and Robotics
;
Signal Processing, Sensors, Systems Modeling and Control
;
System Modeling
Abstract:
The paper considers a problem of deviations (peak effect) in the free motion of linear discrete stable systems with a control signal delay. The problem consists in structure of eigenvectors of the state matrix. The control signal delay adds additional order to a discrete-time model and leads to the variation of eigenvectors structure and deviation increasing in the free motion of the system. A tracking discrete-time system is a subject of the research. An approach to the modal control law design taking into account the value of delay and the deviation is suggested in the paper. It is proposed to assess the upper bound of peaking processes in the system with the condition number of an eigenvectors matrix. The results are supported by an example.