Department of Management Science, Science University of Tokyo, Shinjuku-ku, Tokyo, Japan.
An effective computational algorithm for suboptimal singular and/or bang-bang control I. Theoretical developments and applications to linear lumped systems
Article first published online: 17 JUN 2004
Copyright © 1976 American Institute of Chemical Engineers
Volume 22, Issue 3, pages 505–513, May 1976
How to Cite
Nishida, N., Liu, Y. A., Lapidus, L. and Hiratsuka, S. (1976), An effective computational algorithm for suboptimal singular and/or bang-bang control I. Theoretical developments and applications to linear lumped systems. AIChE J., 22: 505–513. doi: 10.1002/aic.690220314
- Issue published online: 17 JUN 2004
- Article first published online: 17 JUN 2004
- Manuscript Accepted: 29 JAN 1976
- Manuscript Received: 26 NOV 1975
- Cited By
A new and simple computational algorithm for obtaining suboptimal singular and/or bang-bang solutions of typical lumped and distributed parameter control problems is proposed. The algorithm is based on the piecewise maximization of the Hamiltonian and a limiting process utilizing a penalty function of the control variables. Theoretical developments and computational applications of the algorithm to several linear lumped parameter control problems are presented. Extensions and applications of the algorithm to nonlinear and distributed parameter systems are given in Part II.