The three way catalytic converter (TWC) is a critical component for the mitigation of tailpipe emissions of modern internal combustion (IC) engines. Because the TWC operates effectively only when the air-fuel ratio is very close to stoichiometric, accurate control of the air-fuel ratio is required. The dynamics of the IC engine can be modeled as a first order plus dead time for controller design purposes and vary with both engine speed and air flow. Traditional control schemes using time-invariant controllers have been successful in guaranteeing stability over the operating range of the engine but have introduced a degree of conservatism. To reduce the conservatism, a gain scheduling controller taking both engine speed and air flow as scheduling parameters is proposed. A linear parameter varying model of the plant is constructed and the controller design method is formulated in terms of linear matrix inequalities yielding a convex optimization problem. The resulting closed-loop system has guaranteed stability and performance over the designed operating range of the engine. Simulations are performed to validate and compare the controller with a time-invariant controller as well as a gain scheduling controller that takes only engine speed as a scheduling parameter.
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ASME 2010 Dynamic Systems and Control Conference
September 12–15, 2010
Cambridge, Massachusetts, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-4417-5
PROCEEDINGS PAPER
LPV-Based Air-Fuel Ratio Control of Spark Ignition Engines Using Two Gain Scheduling Parameters
Marius J. Postma,
Marius J. Postma
University of British Columbia, Vancouver, BC, Canada
Search for other works by this author on:
Ryozo Nagamune
Ryozo Nagamune
University of British Columbia, Vancouver, BC, Canada
Search for other works by this author on:
Marius J. Postma
University of British Columbia, Vancouver, BC, Canada
Ryozo Nagamune
University of British Columbia, Vancouver, BC, Canada
Paper No:
DSCC2010-4087, pp. 665-672; 8 pages
Published Online:
January 25, 2011
Citation
Postma, MJ, & Nagamune, R. "LPV-Based Air-Fuel Ratio Control of Spark Ignition Engines Using Two Gain Scheduling Parameters." Proceedings of the ASME 2010 Dynamic Systems and Control Conference. ASME 2010 Dynamic Systems and Control Conference, Volume 1. Cambridge, Massachusetts, USA. September 12–15, 2010. pp. 665-672. ASME. https://doi.org/10.1115/DSCC2010-4087
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