In this paper, a quantitative index is proposed to address the performance evaluation and design issues in the digital redesign of continuous-time interval systems. From the perspective of signal energy, a worst-case energy resemblance index (WERI), defined as the ratio of the worst-case continuous signal energy (WCSE) of the continuous-time interval system over the worst-case discrete sequence energy (WDSE) of the redesigned digital system, is established for evaluating the closeness of the system performance between the redesigned digital control system and its continuous-time counterpart. Based on the WERI, performance of the redesigned digital systems can be evaluated for different discretization methods at different sampling times. It is found that no discretization method outperforms the others for all sampling times. Because of serious nonlinearities and nonconvexity involved, the determination of WCSE and WDSE is first formulated as an optimization problem and subsequently solved via an evolutionary algorithm. To guarantee stability of the redesigned digital system, the largest sampling time allowed is also evolutionarily determined to establish a sampling-time constraint under which robust Schur stability of the redesigned digital system can be ensured. For design purposes, sampling time required can be determined according to the user-specified WERI, which serves as a performance specification for fine tuning the performance of the redesigned digital control system.
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July 2011
Research Papers
Suitability of Redesigned Digital Control Systems Having an Interval Plant via an Evolutionary Approach
Chen-Chien Hsu,
Chen-Chien Hsu
Department of Applied Electronics Technology,
e-mail: jhsu@ntnu.edu.tw
National Taiwan Normal University
, 162 He-Ping East Road, Section 1, Taipei 10610, Taiwan
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Tsung-Chi Lu
Tsung-Chi Lu
Posiflex Technology Inc.,6, Wu-Chuan Rd., Wu-Ku, New Taipei City 24886, Taiwan
e-mail: 222888@ms64.url.com.tw
Search for other works by this author on:
Chen-Chien Hsu
Department of Applied Electronics Technology,
National Taiwan Normal University
, 162 He-Ping East Road, Section 1, Taipei 10610, Taiwane-mail: jhsu@ntnu.edu.tw
Tsung-Chi Lu
Posiflex Technology Inc.,6, Wu-Chuan Rd., Wu-Ku, New Taipei City 24886, Taiwan
e-mail: 222888@ms64.url.com.tw
J. Dyn. Sys., Meas., Control. Jul 2011, 133(4): 041007 (11 pages)
Published Online: April 8, 2011
Article history
Received:
February 6, 2010
Revised:
January 14, 2011
Online:
April 8, 2011
Published:
April 8, 2011
Citation
Hsu, C., and Lu, T. (April 8, 2011). "Suitability of Redesigned Digital Control Systems Having an Interval Plant via an Evolutionary Approach." ASME. J. Dyn. Sys., Meas., Control. July 2011; 133(4): 041007. https://doi.org/10.1115/1.4003569
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