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Research Papers

Lyapunov-Based Nonlinear Feedback Control Design for Exhaust Gas Recirculation Loop of Gasoline Engines

[+] Author and Article Information
Weihai Jiang

Department of Engineering
and Applied Sciences,
Sophia University,
Chiyoda-ku,
Tokyo 102-8554, Japan
e-mail: weihaijiang@eagle.sophia.ac.jp

Tielong Shen

Department of Engineering
and Applied Sciences,
Sophia University,
Chiyoda-ku,
Tokyo 102-8554, Japan
e-mail: tetu-sin@sophia.ac.jp

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received July 9, 2018; final manuscript received November 28, 2018; published online January 14, 2019. Assoc. Editor: Fengjun Yan.

J. Dyn. Sys., Meas., Control 141(5), 051005 (Jan 14, 2019) (11 pages) Paper No: DS-18-1320; doi: 10.1115/1.4042146 History: Received July 09, 2018; Revised November 28, 2018

For gasoline engine with an exhaust gas recirculation loop, a challenging issue is how to achieve maximum brake efficiency while providing the desired torque. This paper presents a solution to this challenging issue via dynamical control approach which consists of two phases: optimal equilibrium point generation and feedback regulation of the optimized operating mode. First, a mean-value model is developed to represent the dynamical behavior of the intake manifold and exhaust manifold focused on gas mass flows. Then, the control scheme is constructed based on the control-oriented model. Mainly, the optimal set-points are designed by solving the optimal programming problem of maximizing the brake efficiency under demand torque constraint which is the first control design stage, and the dynamical model to the feedback stabilization regulation control for improving transient performance is at the second stage. Lyapunov-based design is used for the derivation of the state feedback law. Furthermore, the proposed exhaust manifold pressure estimator is also coupled into the controller to replace the cost prohibitive exhaust pressure sensor. Finally, experimental validations on the test bench are provided to evaluate the proposed controller.

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References

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Figures

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Fig. 1

The system schematic of the gasoline engine

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Fig. 2

The EGR system of the gasoline engine

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Fig. 3

The general structure of the proposed optimal control scheme

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Fig. 4

The observer-based pem estimator

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Fig. 5

The engine test bench

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Fig. 6

The validation of torque modeling

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Fig. 7

The validation of dynamic pim and pem modeling

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Fig. 8

Set-point map (pim*, pem*, Ta*, EGR*) by solving the stationary optimization problem under different operating conditions: (a) optimal map of throttle angle, (b)optimal map of EGR step, (c) optimal map of pim, and (d) optimal map of pem

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Fig. 9

The experimental validation of the proposed PI observer

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Fig. 10

The experimental validation of the proposed controller by using the measured pem

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Fig. 11

The experimental validation of the proposed controller by using the estimated pem

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