Iterative Learning Control Design for Switched Systems

In this paper, discrete-time linear systems with parameter switching in the repetitive mode are considered. A new iterative learning control design method is proposed. This method is based on the construction of an auxiliary 2D model in the form of a discrete repetitive process; the stability of the...

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Bibliographic Details
Published in:Automation and remote control 2020-08, Vol.81 (8), p.1461-1474
Main Authors: Pakshin, P.V., Emelianova, J.P.
Format: Article
Language:English
Subjects:
639/301/1034/1035
639/925/357/995
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Discrete time systems
Dwell time
Iterative methods
Learning
Linear systems
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Stability
Systems Theory
Topical Issue
Two dimensional models
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Description
Summary:In this paper, discrete-time linear systems with parameter switching in the repetitive mode are considered. A new iterative learning control design method is proposed. This method is based on the construction of an auxiliary 2D model in the form of a discrete repetitive process; the stability of the auxiliary model guarantees the convergence of the learning process. Stability conditions are derived using the divergent method of Lyapunov vector functions. The concept of the average dwell time in pass direction is introduced. An example that demonstrates the capabilities and features of the new method is presented.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117920080081