In the paper, we show that for a class of linear plants, although the common linear control can be used to stabilize them, the step responses of the resulting closed-loop systems must have overshoot; however, a simple switching between them may avoid the overshoot. This indicates that switching control may overcome the performance limitation of linear feedback control in the overshoot-avoidance respect. A simple switching control scheme with such a quality is exploited and the conditions for its existence are presented. In the scheme, two common controllers are needed and they are only required to guarantee no overshoot on the time intervals [0, ts) and [ts, ∞), respectively, where ts denotes the switching time. For actual implementation, a state-dependent version of the switching control law is developed. Two examples are presented to show its effectiveness.
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May 2012
Technical Briefs
A Simple Switching Control for Linear Systems to Assure Nonovershooting Step Responses
Bo Zhu,
Bo Zhu
Institute of Astronautics and Aeronautics, University of Electronic Science and Technology of China, Chengdu 611731, China; Department of Automatic Control, Beijing University of Aeronautics and Astronautics
, Beijing 100191, China
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Kai-Yuan Cai
Kai-Yuan Cai
Department of Automatic Control, Beijing University of Aeronautics and Astronautics
, Beijing 100191, China
Search for other works by this author on:
Bo Zhu
Institute of Astronautics and Aeronautics, University of Electronic Science and Technology of China, Chengdu 611731, China; Department of Automatic Control, Beijing University of Aeronautics and Astronautics
, Beijing 100191, China
Kai-Yuan Cai
Department of Automatic Control, Beijing University of Aeronautics and Astronautics
, Beijing 100191, China
J. Dyn. Sys., Meas., Control. May 2012, 134(3): 034503 (7 pages)
Published Online: April 6, 2012
Article history
Received:
May 14, 2009
Revised:
October 28, 2011
Online:
April 6, 2012
Published:
April 6, 2012
Citation
Zhu, B., and Cai, K. (April 6, 2012). "A Simple Switching Control for Linear Systems to Assure Nonovershooting Step Responses." ASME. J. Dyn. Sys., Meas., Control. May 2012; 134(3): 034503. https://doi.org/10.1115/1.4005494
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