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TECHNICAL PAPERS

A Polytopic System Approach for the Hybrid Control of a Diesel Engine Using VGT/EGR

[+] Author and Article Information
Sorin Bengea

 Eaton Innovation Center Eden Prairie, MNsorinBengea@eaton.com

Ray DeCarlo

 School of ECE Purdue University W. Lafayette, INdecarlo@purdue.edu

Martin Corless

 School of AAE Purdue University W. Lafayette, INcorless@purdue.edu

Giorgio Rizzoni

 CAR-IT Ohio State University Columbus, OHRizzoni.1@osu.edu

J. Dyn. Sys., Meas., Control 127(1), 13-21 (Apr 25, 2004) (9 pages) doi:10.1115/1.1876473 History: Received January 28, 2003; Revised April 25, 2004

This paper develops a hybrid/gain scheduled controller for moving the state of a diesel engine through a driving profile represented as a sequence of operating points in the seven-dimensional state space of a mean value breathing nonlinear engine state model. The calculations for the control design are based on a third-order (reduced) model of the diesel engine, on whose state space the operating points are projected. About each operating point, we generate a third-order nonlinear error model in polytopic form. Using the polytopic error model at each operating point, a control design is set forth as a system of LMIs. The solution of each system of LMIs produces a norm bounded controller guaranteeing that xi1dxid where xid is the ith desired operating point in the three-dimensional state space. The control performance is then evaluated on the seventh order model.

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Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematic diagram of a VGT/EGR diesel engine

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Figure 2

Sketch showing the concept of polytopic controller design for hybrid systems

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Figure 3

First set of simulations: plot of the simulated value of the partial state. (p1 and p2 are represented by the solid and dashed curves, respectively)

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Figure 4

First set of simulations: plots of the input flows through EGR and VGT

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Figure 5

First set of simulations: plots of the desired driving profiles (dotted) and of the simulated driving profile (solid)

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Figure 6

Second set of simulations: plot of the simulated value of the partial state (p1 and p2 are represented by the solid and dashed curves, respectively)

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Figure 7

Second set of simulations: plots of the input flows through EGR and VGT

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Figure 8

Second set of simulations: plots of the desired driving profiles (dotted) and of the simulated driving profile (solid)

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Figure 9

Desired trajectory (dashed), the trajectory from the first set of simulations (solid), and the trajectory from the second set of simulations (dotted)

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