This paper sets forth two approaches for a combined controller-observer design procedure for a class of uncertain time delay systems. The first procedure uses a delay-independent LMI (linear matrix inequality) formulation that sets forth sufficient conditions for the existence of appropriate feedback and observer matrices that guarantee asymptotic stability of the system-error dynamic combination. The second procedure generates a similar delay-dependent LMI. Standard toolboxes can be used to generate solutions to the LMIs when solutions exist. The observer-control design techniques are applied to an internal combustion (IC) engine idle speed control problem; simulation results demonstrate the effectiveness of the proposed techniques.
Combined Controller-Observer Design for Uncertain Time Delay Systems With Application to Engine Idle Speed Control
Contributed by the Dynamic Systems, Measurement, and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript final revision, January 30, 2004. Review conducted by: A. Alleyne.
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Bengea , S. C., Li , X., and DeCarlo, R. A. (March 11, 2005). "Combined Controller-Observer Design for Uncertain Time Delay Systems With Application to Engine Idle Speed Control ." ASME. J. Dyn. Sys., Meas., Control. December 2004; 126(4): 772–780. https://doi.org/10.1115/1.1849239
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