In this paper, we suggest how to enlarge the maximum controllable region for unstable linear systems with mixed control actions. Using the impulsive action as an alternating control input, it is shown how the collaborative control inputs (bang-bang and impulsive action) work to augment the controllable region of unstable second order systems. However, the weakness resides in the sensitivity to model uncertainty and the time-consuming work to construct the switch curves (bang-bang switch curve and impulse firing curve). We suggest an efficient way to approximate the switch curves. It overcomes the shortcomings from the use of original switch curves, which are constructed through time backward computation. Simulation results show how the approximate switch curves can be used to determine the optimal control values for an augmented maximum controllable region.
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e-mail: ece2744@gmail.com
e-mail: jluo@engr.subr.edu
e-mail: khyou@ece.skku.ac.kr
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September 2009
Research Papers
Augmented Controllable Region of Unstable Second Order Systems With Impulsive Actions
Wookjin Sung,
Wookjin Sung
Department of Electrical Engineering,
e-mail: ece2744@gmail.com
Sungkyunkwan University
, Suwon 440-746, South Korea
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Jiecai Luo,
Jiecai Luo
Department of Electrical Engineering,
e-mail: jluo@engr.subr.edu
Southern University
, Baton Rouge, LA 70813
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Kwanho You
Kwanho You
Department of Electrical Engineering,
e-mail: khyou@ece.skku.ac.kr
Sungkyunkwan University
, Suwon 440-746, South Korea
Search for other works by this author on:
Wookjin Sung
Department of Electrical Engineering,
Sungkyunkwan University
, Suwon 440-746, South Koreae-mail: ece2744@gmail.com
Jiecai Luo
Department of Electrical Engineering,
Southern University
, Baton Rouge, LA 70813e-mail: jluo@engr.subr.edu
Kwanho You
Department of Electrical Engineering,
Sungkyunkwan University
, Suwon 440-746, South Koreae-mail: khyou@ece.skku.ac.kr
J. Dyn. Sys., Meas., Control. Sep 2009, 131(5): 051007 (8 pages)
Published Online: August 18, 2009
Article history
Received:
November 22, 2007
Revised:
May 6, 2009
Published:
August 18, 2009
Citation
Sung, W., Luo, J., and You, K. (August 18, 2009). "Augmented Controllable Region of Unstable Second Order Systems With Impulsive Actions." ASME. J. Dyn. Sys., Meas., Control. September 2009; 131(5): 051007. https://doi.org/10.1115/1.3155008
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