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Nonlinear Model-Based Multivariable Control for Air & Charging System of Diesel Engine with Short and Long Route EGR Valves

  • Vincenzo Alfieri
  • Giuseppe Conte
  • Carmen Pedicini
Article
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Abstract

The objective of this study is to investigate a nonlinear model-based multivariable (MIMO, Multi Input Multi Output) technique to decouple actuators interaction and to reduce the calibration effort, while increasing control performances, above all in transient conditions, and robustness with respect to model uncertainties and system parameter variations. The presented control technique is based on the development of a nonlinear dynamical physical model of the diesel air and charging system. Feedback Linearization control is then applied to decouple actuators’ interactions and compensate for nonlinearities. A new set of virtual inputs are defined inverting the system differential equations. Relation among the new virtual inputs and the outputs is purely linear and decoupled, meaning that each virtual input affects linearly only one output. Moreover, a linear control block is added to guarantee transient and steady state performances and closed loop robustness. The proposed control approach has been validated through small diesel engine dyno and vehicle activities. Transient test bench maneuvers show that the control is able to coordinate the actuators in order to fulfill the targets and to guarantee similar performances in different operating points. In addition the robustness to environmental changes has been demonstrated by vehicle tests at different ambient conditions.

Key words

Model-based Control Multivariable Air charge Feedback linearization 

Nomenclature

βt

turbine pressure ratio (downstream/upstream) (-)

βc

compressor pressure ratio (downstream/upstream) (-)

uitv

intake throttle valve position (%)

uegr_HP

high pressure EGR valve position (%)

uegr_LP

low pressure EGR valve position (%)

uvgt

turbine VGT position (%)

pi

intake manifold pressure (kPa)

px

exhaust manifold pressure (upstream turbine) (kPa)

pc_us

upstream compressor pressure (kPa)

pt_ds

downstream turbine pressure (kPa)

pexh

downstream after-treatment pressure (kPa)

pitv_us

upstream throttle pressure (kPa)

Fi

residual gas fraction at intake manifold (%)

Fx

residual gas fraction at exhaust manifold (%)

Fc

compressor upstream residual gas fraction (%)

Fe

residual gas fraction at engine outlet (%)

Wegr_HP

high pressure EGR mass flow rate (g/s)

Witv

throttle valve mass flow rate (g/s)

Wegr_LP

low pressure EGR mass flow rate (g/s)

Wc

compressor flow rate (g/s)

Wair

air mass flow rate (g/s)

Wf

fuel mass flow rate (g/s)

Wt

turbine mass flow rate (g/s)

We_in

engine-in mass flow rate (g/s)

Wexh

mass flow rate that goes out the engine (g/s)

Ne

engine speed (rpm)

Nt

turbine speed (rpm)

Pt

turbine power (W)

Pt

compressor power (W)

Ti

intake manifold temperature (K)

Tx

exhaust manifold temperature (K)

Tegr_LP

low pressure EGR gas temperature (K)

Tc_us

upstream compressor gas temperature (K)

Titv_us

upstream throttle gas temperature (K)

Tt_ds

downstream turbine gas temperature (K)

Vi

intake manifold volume (mm3)

Vx

exhaust manifold volume (mm3)

Vc_us

upstream compressor volume (mm3)

Vt_us

downstream turbine volume (mm3)

γ

ratio of specific heats (-)

R

universal gas constant (m2/(K s2))

cp

specific heat capacity at constant pressure (J/K)

ηvo

volumetric efficiency (-)

ηt

turbine efficiency (-)

ηc

compressor efficiency (-)

(A/F)s

stoichiometric air fuel ratio (-)

Subscripts

EGR

exhaust gas recirculation

VGT

variable geometry turbine

ITV

Intake throttle valve

LP

low pressure

HP

high pressure

ECU

engine control unit

AT

after-treatment

SISO

single input single output

MIMO

multi input multi output

PID

proportional integral derivative

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Copyright information

© The Korean Society of Automotive Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Vincenzo Alfieri
    • 1
  • Giuseppe Conte
    • 1
  • Carmen Pedicini
    • 1
  1. 1.General Motors Global Propulsion SystemsTorinoItaly

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