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.

1.
Guzzella
,
L.
, and
Amstutz
,
A.
, 1998, “
Control of Diesel Engines
,”
IEEE Control Syst. Mag.
0272-1708,
18
(
5
), pp.
53
71
.
2.
van Nieuwstadt
,
M. J.
,
Kolmanovsky
,
I. V.
,
Moraal
,
P. E.
,
Stefanopoulou
,
A.
, and
Jankovic
,
M.
, 2000, “
EGR-VGT Control Schemes: Experimental Comparison for a High-Speed Diesel Engine
,”
IEEE Control Syst. Mag.
0272-1708,
20
(
3
), pp.
63
79
.
3.
McClamroch
,
N. H.
, and
Kolmanovsky
,
I.
, 2000, “
Performance benefits of hybrid control design for linear and nonlinear systems
,”
Proc. IEEE
0018-9219,
88
(
7
), pp.
1083
1096
.
4.
Guckenheimer
,
J.
, 1995, “
A robust hybrid stabilization strategy for equilibria
,”
IEEE Trans. Autom. Control
0018-9286,
40
, pp.
321
326
.
5.
Jankovic
,
M.
,
Jankovic
,
M.
, and
Kolmanovsky
,
I.
, 1998, “
Robust nonlinear controller for turbocharged diesel engines
,”
Proceedings of the 1998 American Control Conference
, Philadelphia, PA, June, pp.
1389
1394
.
6.
Kolmanovsky
,
I
,
Moraal
,
P.
,
van Nieuwstadt
,
M.
, and
Stefanopoulou
,
A.
, 1999 “
Issues in Modeling and Control of Intake Flow in Variable Geometry Turbocharged Engines
,”
Proceedings of 18th IFIP Conference on System Modeling and Optimization
, Detroit, July, 1997; published in
System Modeling and Optimization
, edited by
M. P.
Polis
,
A. L.
Dontchev
,
P.
Kall
,
I.
Lasiecka
, and
A. W.
Olbrot
, Chapman and Hall/CRC Research Notes in Mathematics, February 1999, pp.
436
445
.
7.
Kolmanovsky
,
I
,
van
Nieuwstadt
,
M.
, and
Moraal
,
P.
, 1999, “
Optimal control of variable geometry turbocharged diesel engines with exhaust gas recirculation
,” DSC-Vol.
67
,
Proceedings of the 1999 ASME Congress and Exposition
, ASME, November, pp.
265
273
.
8.
Utkin
,
V.
,
Chang
,
H.-C
,
Kolmanovski
,
I.
, and
Cook
J.
, 2000, “
Sliding Mode Control for the Variable Geometry Turbocharged Diesel Engines
,”
Proceedings of the 2000 American Control Conference
, Chicago, June, pp.
584
588.
9.
Upadhyay
,
D.
, 2001,
Modeling and Model based Control Design of the VGT-EGR System for Intake Flow Regulation in Diesel Engines
, Ph.D. dissertation, Ohio State University, Columbus Ohio.
10.
Bengea
,
S.
,
DeCarlo
,
R.
,
Corless
,
M.
, and
Rizzoni
,
G.
, 2002, “
A Polytopic System Approach for the Hybrid Control of a Diesel Engine using VGT/EGR
,” Technical Report, Purdue University, July.
11.
Landau
,
I. D.
, 2001, “
Identification in Closed Loop: A Powerful Design Tool (Better Design Models, Simpler Controllers)
,”
Control Engineering Practice
,
Pergamon
, New York, Vol
9
, pp.
51
65
.
12.
Khalil
,
H.
, 1996,
Nonlinear Systems
,
Prentice-Hall
, Upper Saddle River, NJ.
13.
Boyd
,
S.
,
El Ghaoui
,
L.
,
Feron
,
E.
, and
Balakrishnan
,
V.
, 1994,
Linear Matrix Inequalities in System and Control Theory
,
SIAM
, Philadelphia.
14.
Jankovic
,
M.
,
Jankovic
,
M.
, and
Kolmanovsky
,
I.
, 2000, “
Constructive Lyapunov Control Design for Turbocharged Diesel Engines
,”
IEEE Trans. Control Syst. Technol.
1063-6536,
8
(
2
), pp.
288
299
.
15.
Stefanopoulou
,
A. G.
,
Kolmanovsky
,
I. V.
, and
Freudenberg
,
J. S.
, 1998, “
Control of variable geometry turbocharged diesel engines for reduced emissions
,”
Proceedings of the American Control Conference
, Philadelphia, June, pp.
1383
1388
You do not currently have access to this content.