Presented in this paper is a procedure for selecting the performance weights for a class of nonlinear feedback systems modeled by a truncated Volterra series. The performance weight selection addresses the trade-offs between closed-loop performance and closed-loop stability. The class of feedback systems considered are regulating systems subject to step disturbances. The methodology is based on two recent results concerning closed loop stability for this class of nonlinear feedback systems. These stability conditions can be formulated as an problem where the performance weights are systematically identified. This synthesis procedure is applied to the idle speed control of a Ford 4.6L V-8 fuel injection engine. Through this application, the design trade-off between closed-loop performance and stability is illustrated.
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e-mail: jglass@ecn.purdue.edu
e-mail: franchek@ecn.purdue.edu
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September 2002
Technical Papers
Synthesis of Nonlinear Feedback Systems in a Volterra Representation
J. W. Glass,
e-mail: jglass@ecn.purdue.edu
J. W. Glass
Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-1077
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M. A. Franchek
e-mail: franchek@ecn.purdue.edu
M. A. Franchek
Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-1077
Search for other works by this author on:
J. W. Glass
Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-1077
e-mail: jglass@ecn.purdue.edu
M. A. Franchek
Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-1077
e-mail: franchek@ecn.purdue.edu
Contributed by the Dynamic Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division September 2000. Associate Editor: Y. Chait.
J. Dyn. Sys., Meas., Control. Sep 2002, 124(3): 382-389 (8 pages)
Published Online: July 23, 2002
Article history
Received:
September 1, 2000
Online:
July 23, 2002
Citation
Glass, J. W., and Franchek, M. A. (July 23, 2002). " Synthesis of Nonlinear Feedback Systems in a Volterra Representation ." ASME. J. Dyn. Sys., Meas., Control. September 2002; 124(3): 382–389. https://doi.org/10.1115/1.1485749
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