A new approach for observer-based feedback control of time-delay systems is developed. Time-delays in systems lead to characteristic equations of infinite dimension, making the systems difficult to handle with classical control methods. In this paper, a recently developed approach, based on the Lambert W function, is used to address this difficulty and to control time-delay systems by designing an observer-based state feedback controller via eigenvalue assignment. The designed observer provides estimation of the state, which converges asymptotically to the actual state, and is then used for state feedback control. The feedback controller and the observer take simple linear forms and, thus, are easy to implement when compared to nonlinear methods. This new approach is applied, for illustration, to the control of a diesel engine to achieve improvement in fuel efficiency and reduction in emissions. The simulation results show excellent closed-loop performance.
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ASME 2009 Dynamic Systems and Control Conference
October 12–14, 2009
Hollywood, California, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-4893-7
PROCEEDINGS PAPER
Design of Observer-Based Feedback Control for Time-Delay Systems With Application to Automotive Powertrain Control
Patrick W. Nelson,
Patrick W. Nelson
University of Michigan, Ann Arbor, MI
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A. Galip Ulsoy
A. Galip Ulsoy
University of Michigan, Ann Arbor, MI
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Sun Yi
University of Michigan, Ann Arbor, MI
Patrick W. Nelson
University of Michigan, Ann Arbor, MI
A. Galip Ulsoy
University of Michigan, Ann Arbor, MI
Paper No:
DSCC2009-2590, pp. 597-604; 8 pages
Published Online:
September 16, 2010
Citation
Yi, S, Nelson, PW, & Ulsoy, AG. "Design of Observer-Based Feedback Control for Time-Delay Systems With Application to Automotive Powertrain Control." Proceedings of the ASME 2009 Dynamic Systems and Control Conference. ASME 2009 Dynamic Systems and Control Conference, Volume 2. Hollywood, California, USA. October 12–14, 2009. pp. 597-604. ASME. https://doi.org/10.1115/DSCC2009-2590
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