Air-fuel ratio control of spark ignition engines with TWC using LPV techniques

Rohit A. Zope, Javad Mohammadpour, Karolos M. Grigoriadis, Matthew Franchek

Research output: Chapter in Book/Report/Conference proceedingConference contribution

22 Scopus citations


Precise control of the air-fuel ratio in a spark ignition (SI) engine is important to minimize emissions. The emission reduction strongly depends on the performance of the air-fuel ratio controller for the SI engine in conjunction with the Three Way Catalytic (TWC) converter. The TWC converter acts as a buffer to any variations occurring in the air-fuel ratio. It stores oxygen during a lean operation and releases the stored oxygen during a rich transient phase. The stored oxygen must be maintained close to the current storage capacity to yield maximum benefits from the TWC converter. Traditionally this is achieved using a simple PI control or a gain-scheduled PI control to address the variability in the operating conditions of the engine. This, however, does not guarantee closed-loop system stability and/or performance. In this work a model-based linear parameter varying (LPV) approach is used to design an H controller. The design goal is to minimize the effect of disturbances on the air-fuel ratio and hence the relative storage level of oxygen in the TWC, over a defined operating range for the SI engine. The design method formulated in terms of Linear Matrix Inequalities (LMIs) leads to a convex optimization problem which can be efficiently solved using existing interior-point optimization algorithms. Simulations performed validate the proposed control design methodology.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Dynamic Systems and Control Conference 2009, DSCC2009
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages7
EditionPART A
ISBN (Print)9780791848920
StatePublished - Jan 1 2010
Event2009 ASME Dynamic Systems and Control Conference, DSCC2009 - Hollywood, CA, United States
Duration: Oct 12 2009Oct 14 2009


Other2009 ASME Dynamic Systems and Control Conference, DSCC2009
Country/TerritoryUnited States
CityHollywood, CA

ASJC Scopus subject areas

  • Control and Systems Engineering


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