A discrete-time control design approach for periodically time-varying systems is introduced. The method employs a period-to-period (point-mapping) formulation of the system’s dynamics and a parametrization of the control input to obtain an equivalent time-invariant discrete-time representation of the system. The representation is generalized to include sampling within the period and varying sampling rates in different feedback loops. The proposed formulation allows for the design of feedback control laws using established discrete-time control methodologies. In this paper, dead-beat and optimal control laws with state- or output-feedback control are presented. An example of a multivariable control design for double inverted pendulum with periodic forcing is used to illustrate the proposed approach.
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July 2008
Research Papers
Discrete-Time Control of Linear Time-Periodic Systems
H. Flashner
H. Flashner
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S. Kalender
H. Flashner
J. Dyn. Sys., Meas., Control. Jul 2008, 130(4): 041009 (9 pages)
Published Online: June 9, 2008
Article history
Received:
March 23, 2007
Revised:
January 5, 2008
Published:
June 9, 2008
Citation
Kalender, S., and Flashner, H. (June 9, 2008). "Discrete-Time Control of Linear Time-Periodic Systems." ASME. J. Dyn. Sys., Meas., Control. July 2008; 130(4): 041009. https://doi.org/10.1115/1.2936871
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