Conference Paper

A hierarchical optimization method of large-scale time-delay systems

University of New Mexico, Albuquerque, NM
DOI: 10.1109/CDC.1981.269427 Conference: Decision and Control including the Symposium on Adaptive Processes, 1981 20th IEEE Conference on, Volume: 20
Source: IEEE Xplore

ABSTRACT In this paper a large-scale time-delay system is decomposed into N non-delay subsystems. A sub-optimal control based on heirarchical optimization of large-scale systems is then proposed and an algorithm for it is given.

4 Reads
  • [Show abstract] [Hide abstract]
    ABSTRACT: The costate prediction method of hierarchical control of non-linear systems is based on two substitution relations for the first- and second-level problems in a multilevel formulation. The method has shown superior computational behavior for unretarded systems as compared to other schemes such as goal coordination or interaction prediction. In this paper the costate prediction is extended to retarded continuous-time and discrete-time systems. Algorithms are developed and illustrated for numerical examples.
    American Control Conference, 1982; 07/1982
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper two hierarchical schemes are proposed for large-scale time-delay systems. The models of such systems are decomposed into a number of subsystems. Two fast-converging algorithms based on the extensions of interaction prediction and costate prediction methods to time-delay systems are presented. The algorithms are demonstrated by two examples.
    American Control Conference, 1984; 01/1984
  • [Show abstract] [Hide abstract]
    ABSTRACT: A hierarchical scheme for the optimal control of large-scale nonlinear time-delay systems is proposed. A linear approximation of the original system is defined about a nominal trajectory. The system is decomposed into N subsystems in such a way that the delay terms as well as interaction terms can be treated as extra inputs to linear nondelay subsystems. A numerical example illustrates this approach.
    IEEE Transactions on Systems Man and Cybernetics 01/1984; SMC-14(1):2-9. DOI:10.1109/TSMC.1984.6313264
Show more