期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 56, 期 6, 页码 1452-1457出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2011.2112473
关键词
Disturbance attenuation; linear matrix inequality (LMI); repetitive control; robust control; state observer; two-dimensional (2-D) system
资金
- National Science Foundation of China [60974045, 60674016]
This technical note deals with the problem of designing a robust observer-based repetitive-control system that provides a given H-infinity disturbance attenuation performance for a class of plants with time-varying structured uncertainties. A continuous-discrete two-dimensional model is built that accurately describes the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A sufficient condition for the repetitive-control system to have a disturbance-attenuation bound in the H-infinity setting is given in terms of a linear matrix inequality (LMI). It yields the parameters of the repetitive controller and the state observer. Finally, a numerical example demonstrates the effectiveness of the method, whose main advantage is the easy, preferential adjustment of control and learning through the tuning of two parameters in the LMI-based condition.
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