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

Sorin Bengea; Ray DeCarlo; Martin Corless; Giorgio Rizzoni

doi:10.1115/1.1876473

Journal of Dynamic Systems, Measurement, and Control | Volume 127 | Issue 1 | TECHNICAL PAPERS

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TECHNICAL PAPERS

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

Sorin Bengea, Ray DeCarlo, Martin Corless and Giorgio Rizzoni

[+] 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

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Abstract

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 $x_{i - 1}^{d} \to x_{i}^{d}$ where $x_{i}^{d}$ is the $i th$ desired operating point in the three-dimensional state space. The control performance is then evaluated on the seventh order model.

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Schematic diagram of a VGT/EGR diesel engine

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Figure 1

Schematic diagram of a VGT/EGR diesel engine

Sketch showing the concept of polytopic controller design for hybrid systems

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Figure 2

Sketch showing the concept of polytopic controller design for hybrid systems

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 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)

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

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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)

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 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)

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

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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)

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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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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Bengea S, DeCarlo R, Corless M, Rizzoni G. A Polytopic System Approach for the Hybrid Control of a Diesel Engine Using VGT/EGR. ASME. J. Dyn. Sys., Meas., Control. 2004;127(1):13-21. doi:10.1115/1.1876473.

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

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