Abstract
A computational scheme using the technique of control parameterization is developed for solving a class of optimal control problems involving linear hereditary systems with bounded control region and linear terminal constraints. Several examples have been solved to illustrate the efficiency of the technique.
Similar content being viewed by others
References
Sirisena, H. R., andChou, F. S.,Convergence of the Control Parameterization Ritz Method for Nonlinear Optimal Control Problems, Journal of Optimization Theory and Applications, Vol. 29, pp. 369–382, 1979.
Sirisena, H. R., andTan, K. S.,Computation of Constrained Optimal Controls Using Parameterization Techniques, IEEE Transactions on Automatic Control, Vol. AC-19, pp. 431–433, 1974.
Hicks, G. A., andRay, W. H.,Approximation Methods for Optimal Control Synthesis, Canadian Journal of Chemical Engineering, Vol. 49, pp. 522–528, 1971.
Bosarge, W. E., Jr., andJohnson, O. G.,Direct Method Approximation to the State Regulator Control Problem Using a Ritz-Trefftz Suboptimal Control, IEEE Transactions on Automatic Control, Vol. AC-15, pp. 627–631, 1970.
Sirsena, H. R.,Computation of Optimal Controls Using a Piecewise Polynomial Parameterization, IEEE Transactions on Automatic Control, Vol. AC-18, pp. 409–411, 1973.
Oguztoreli, M. N.,Time-Lag Control Systems, Academic Press, New York, New York, 1976.
Murray, J. M., andTeo, K. L.,On a Computational Algorithm for a Class of Optimal Control Problems Involving Discrete Time Delayed Arguments, Journal of the Australian Mathematical Society, Vol. 20, pp. 315–343, 1978.
Banks H. T., andBurns, J. A.,Hereditary Control Problems: Numerical Methods Based on Averaging Approximations, SIAM Journal on Control and Optimization, Vol. 16, pp. 169–208, 1978.
Georganas, N. D.,Optimal Control for a Class of Hereditary Systems, University of Ottawa, PhD Thesis, 1970.
Ahmed, N. U., andTeo, K. L.,Optimal Control of Distributed Parameter Systems, North-Holland, New York, New York, 1981.
Teo, K. L., Wu, Z. S., andClements, D. J.,A Computational Method for Convex Optimal Control Problems Involving Linear Hereditary Systems, International Journal of Systems Science, Vol. 12, pp. 1045–1060, 1981.
Fletcher, R.,A General Quadratic Programming Algorithm, Journal of the Institute of Mathematics and Applications, Vol. xxx, pp. 76–91, 1971.
Sirisena, H. R., andChou, F. S.,State Parameterization Approach to the Solution of Optimal Control Problems, Optimal Control Applications and Methods, Vol. 2, pp. 289–298, 1981.
Sirisena, H. R., andChou, F. S.,An Efficient Algorithm for Solving Optimal Control Problems with Linear Terminal Constraints, IEEE Transactions on Automatic Control, Vol. AC-21, pp. 275–277, 1976.
Author information
Authors and Affiliations
Additional information
Communicated by G. Leitmann
The authors wish to thank Dr. B. D. Craven for pointing out an error in an earlier version of this paper.
From January 1985, Associate Professor, Department of Industrial and Systems Engineering, National University of Singapore, Kent Ridge, Singapore.
Rights and permissions
About this article
Cite this article
Teo, K.L., Wong, K.H. & Clements, D.J. Optimal control computation for linear time-lag systems with linear terminal constraints. J Optim Theory Appl 44, 509–526 (1984). https://doi.org/10.1007/BF00935465
Issue Date:
DOI: https://doi.org/10.1007/BF00935465