The paper considers design of a predictive Linear Time Varying model-based controller with nonlinear feedforward for regulation of transient processes caused by setpoint step changes in a nonlinear plant. An optimal feedforward control sequence is computed based on an empirical Finite Impulse Response model of the process. Though the control techniques developed in this paper are meant to have more general industrial applicability, a specific automotive engine control application—control of Variable Cam Timing automotive engine—is pursued. An advantage of the proposed controller design in this problem is that no first principle models are required. Instead, nonlinear parametric approximations of a neural network type are being used to describe and identify static nonlinear mappings encountered in the problem. A number of simplifying assumptions and approximations are made to make practical implementation of the proposed scheme possible. Validity of the designed controller is verified by simulation. The proposed “model-free” design can potentially increase flexibility and save labor in development and deployment of such controllers for industrial systems.

1.
Bitmead, R. R., and Wertz, V., Adaptive Optimal Control: The Thinking Man’s GPC, Prentice-Hall, Englewood Cliffs, NJ, 1990.
2.
Garcia
,
C. E.
,
Prett
,
D. M.
, and
Morari
,
M.
,
1989
, “
Model predictive control: Theory and practice—a survey
,”
Automatica
,
25
, No.
3
, pp.
335
348
.
3.
Muske
,
K. R.
, and
Rawlings
,
J. B.
,
1993
, “
Model predictive control with linear models
,”
AIChE J.
,
39
, No.
2
, pp.
262
287
.
4.
Qin, S. J., and Badgwell, T. J., 1997, “An overview of industrial model predictive control technology,” Chemical Process Control-V, edited by J. C. Kantor, C. E. Garcia, and B. Carnahan, pp. 232–256, Tahoe, CA.
5.
Maine
,
D. Q.
,
Rawlings
,
J. B.
,
Rao
,
C. V.
, and
Scokaert
,
P. O. M.
,
2000
, “
Constraint model predictive control: Stability and optimality
,”
Automatica
,
36
, No.
5
, pp.
789
814
.
6.
De Nicolao
,
G.
,
Magni
,
G.
, and
Scattolini
,
R.
,
1997
, “
Stabilizing Predictive control of nonlinear ARX models
,”
Automatica
,
33
, No.
9
, pp.
1691
1697
.
7.
Parisini
,
T.
, and
Zoppoli
,
R.
,
1995
, “
A receding-horizon regulator for nonlinear systems and a neural approximation
,”
Automatica
,
31
, pp.
1443
1451
.
8.
Prasad
,
G.
,
Swidenbank
,
E.
, and
Hogg
,
B. W.
,
1998
, “
A local model networks based multivariable long-range predictive control strategy for thermal power plants
,”
Automatica
,
34
, No.
10
, pp.
1185
1204
.
9.
Gorinevsky, D., Cook, J., Feldkamp L., and Vukovich, G., 1999, “Predictive design of linear feedback–feedforward controller for automotive VCT engine,” American Control Conference, San Diego, CA.
10.
Gorinevsky
,
D.
,
1997
, “
An Approach To parametric optimization of nonlinear system and application to task-level learning control
,”
IEEE Trans. Autom. Control
,
42
, No.
7
, pp.
912
927
.
11.
Gorinevsky
,
D.
, and
Feldkamp
,
L.
,
1996
, “
RBF network feedforward compensation of load disturbance in idle speed control
,”
IEEE Control Syst. Mag.
,
16
(
4
), pp.
18
27
.
12.
Gorinevsky
,
D.
, and
Vukovich
,
G.
,
1998
, “
Control of flexible spacecraft using nonlinear approximation of input shape dependence on reorientation maneuver parameters
,”
Control Eng. Pract.
,
5
, No.
2
, pp.
1661
1671
.
13.
De Nicolao
,
G.
, and
Strada
,
S.
,
1997
, “
On the stability of receding-horizon LQ control with zero-state terminal constraint
,”
IEEE Trans. Autom. Control
,
42
, pp.
257
260
.
14.
Zheng
,
A.
, and
Morari
,
M.
,
1994
, “
Robust control of linear time-varying systems with constraints
,”
Proc. American Control Conf., Baltimore, MD, June
, pp.
2416
2420
.
15.
Hsieh, S. C., Stefanopoulou, A. G., et al. 1997, “Emission and drivability tradeoffs in a variable cam timing SI engine with electronic throttle,” Proc. American Control Conf., Albuquerque, NM.
16.
Jankovic, M., and Frishmuth, M., 1997, “Disturbance rejection in SI engine with variable cam timing,” Proc. American Control Conf., Albuquerque, NM.
17.
Puskoris
,
G. V.
, and
Feldkamp
,
L. A.
,
1994
, “
Neurocontrol of nonlinear dynamical systems with Kalman filter-trained recurrent networks
,”
IEEE Trans. Neural Netw.
,
5
, No.
2
, pp.
279
297
.
18.
Puskoris
,
G. V.
,
Feldkamp
,
L. A.
, and
Davis
, Jr.,
L. I.
,
1996
, “
Dynamic neural network methods applied to on-vehicle idle speed control
,”
Proc. IEEE
,
84
, No.
10
, pp.
1407
1420
.
19.
Stefanopoulou, A. G., Cook J. A. et al., 1998, “Control-oriented model of a dual equal variable cam timing spark ignition engine,” ASME Journal of Dynamic Systems, Measurement and Control.
20.
Stefanopoulou, A. G., Cook J. A. et al., 1995, “Modeling and control of a spark ignition engine with variable cam timing,” Proc. American Control Conf., Seattle, WA, pp. 2576–2581.
You do not currently have access to this content.