Polynomial Solution of Predictive Optimal Control Problems For Systems in State-Equation Form

[+] Author and Article Information
M. J. Grimble

Industrial Control Center, University of Strathclyde, Graham Hills Building, 50 George Street, Glasgow G1 1QE United Kingdome-mail: m.grimble@eee.strath.ac.uk

J. Dyn. Sys., Meas., Control 125(3), 439-447 (Sep 18, 2003) (9 pages) doi:10.1115/1.1589030 History: Received May 24, 2001; Revised February 18, 2003; Online September 18, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Richalet,  J., Rault,  A., Testud,  J. L., and Papon,  J., 1978, “Model predictive heuristic control applications to industrial processes,” Automatica, 14, pp. 414–428.
Richalet,  J., 1993, “Industrial applications of model based predictive control,” Automatica, 29, No. 8, pp. 1251–1274.
Cutler, C. R., and Ramaker, B. L., 1980, “Dynamic matrix control—A computer control algorithm,” Proceedings JACC, San Francisco.
Clarke,  D. W., Montadi,  C., and Tuffs,  P. S., 1987, “Generalized predictive control-Part 1, The basic algorithm, Part 2, Extensions and interpretations,” Automatica, 23, 2, 137–148.
Clarke,  D. W., and Mounted,  C., 1989, “Properties of generalized predictive control,” Automatica, 25, No. 6, pp. 859–875.
Tomizuka,  M., and Rosenthal,  D. E., 1979, “On the optimal digital state vector feedback controller with integral and preview actions,” Trans. ASME, 101 , pp. 172–178.
Peterka,  V., 1984, “Predictor based self-tuning control,” Automatica, 20, No. 1, pp. 39–50.
Bitmead, R. R., Givers, M. and Hertz, V., 1989, Optimal control redesign of generalized predictive control, IFAC Symposium on Adaptive Systems in Control and Signal Processing, Glasgow, Scotland, April.
Ordys,  A. W., and Clarke,  D. W., 1993, “A state-spaced description for GPC controllers,” Int. J. Syst. Sci., 23, No. 2, 1727–1744.
Ordys, A. W., and Pike, A. W., 1998, State-space generalized predictive control incorporating direct through terms, 37th IEEE Control and Decision Conference, Tampa, Florida.
Prett, D. M., and Garcia, C. E., 1988, Fundamental process control, Butterworth, Stoneham, M.A.
Grimble, M. J., 1995, “Two DOF LQG predictive control,” IEE Proc. 142 , No. 4, July, pp. 295–306.
Grimble,  M. J., 1998, “Multi step H generalized predictive control,” Dyn. Control, 8, pp. 303–339.
Ordys, A. W., and Grimble, M. J., 1996, A multivariable dynamic performance predictive control with application to power generation plants, IFAC World Congress, San Francisco.
Grimble, M. J., and A. W., Ordys, 2000, Predictive control for industrial applications, Plenary at IFAC Conference on Control Systems Design, Bratislava.
Li,  S., Lim,  K. Y., and Fisher,  D. G., 1989, “A state space formulation for model predictive control,” AIChE J., 35, 241–249.
Marquis, P., and Broustail, J. P., 1988, SMOC, a bridge between state space and model predictive controllers—application to the automation of a hydrotreating unit, IFAC Workshop on Model Based Control, Atlanta, GA.
Ricker,  N. K., 1990, “Model predictive control with state estimation,” Ind. Eng. Chem. Res., 29, 374–382.
Grimble,  M. J., 1979, “Optimal control of linear systems with crossproduct weighting,” Proc. IEE, 126, No. 1, pp. 95–103.
Anderson, B., and Moore, J., 1971, Linear optimal control, Prentice Hall, Englewood Cliffs.
Grimble, M. J., 2001, Industrial control systems design, Wiley, Chichester, ISBN 0 471 49225 6.
Grimble, M. J., 1994, Robust industrial control, Prentice Hall, Hemel Hempstead (ISBN 3-13-655283-8).
Kalman, R. E., 1961, New methods in Wiener filtering theory, Proc. of the Symposium on Engineering Applications of Random Function Theory and Probability, pp. 270–388.
Grimble,  M. J., 1979, “Design of optimal stochastic regulating systems including integral actions,” Proc. IEE, 126, No. 9, pp. 841–848.


Grahic Jump Location
System and reference model shown in two degrees of freedom standard system model form with state weighting Qj=HjTHj
Grahic Jump Location
Bode amplitude frequency responses of the reference, disturbance/plant, and weighting function
Grahic Jump Location
Tracking and feedback controller bode amplitude frequency responses
Grahic Jump Location
Single and two degree of freedom unit step responses (Showing benefit of future set point and 2DOF action)
Grahic Jump Location
Unit step response when the measurement noise for the 2 DOF design is increased



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In