Optimal control of nonlinear dynamic transportation systems

Y. J. Stephanedes; E. Kwon; S. G. Tzafestas; C. Botsaris

doi:10.1109/cdc.1990.203898

Optimal control of nonlinear dynamic transportation systems

Y. J. Stephanedes
, E. Kwon
, S. G. Tzafestas
, C. Botsaris

Civil Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

The problem of dynamic optimization of a class of mass transportation systems is formulated, and a method for optimal solutions is developed. The dynamic formulation is based on previously estimated supply decision functions and disaggregate demand specifications. Conditions for the existence and stability of solutions are derived to establish the necessary boundary conditions for the optimization. Maximization of a cost-effectiveness objective is sought subject to performance constraints, while cost is the control. The optimal control algorithm uses Pontryagin's necessary conditions of optimality with a penalty method. The initial values of the adjoint vector and the penalty coefficients are evaluated in such a way that the final conditions are satisfied and the extremal distances between the obtained trajectory and the constraints are imposed.

Original language	English (US)
Pages (from-to)	1641-1645
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/cdc.1990.203898
State	Published - 1990
Event	Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA Duration: Dec 5 1990 → Dec 7 1990

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10.1109/cdc.1990.203898

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title = "Optimal control of nonlinear dynamic transportation systems",

abstract = "The problem of dynamic optimization of a class of mass transportation systems is formulated, and a method for optimal solutions is developed. The dynamic formulation is based on previously estimated supply decision functions and disaggregate demand specifications. Conditions for the existence and stability of solutions are derived to establish the necessary boundary conditions for the optimization. Maximization of a cost-effectiveness objective is sought subject to performance constraints, while cost is the control. The optimal control algorithm uses Pontryagin's necessary conditions of optimality with a penalty method. The initial values of the adjoint vector and the penalty coefficients are evaluated in such a way that the final conditions are satisfied and the extremal distances between the obtained trajectory and the constraints are imposed.",

author = "Stephanedes, \{Y. J.\} and E. Kwon and Tzafestas, \{S. G.\} and C. Botsaris",

year = "1990",

doi = "10.1109/cdc.1990.203898",

language = "English (US)",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

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note = "Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) ; Conference date: 05-12-1990 Through 07-12-1990",

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TY - JOUR

T1 - Optimal control of nonlinear dynamic transportation systems

AU - Stephanedes, Y. J.

AU - Kwon, E.

AU - Tzafestas, S. G.

AU - Botsaris, C.

PY - 1990

Y1 - 1990

N2 - The problem of dynamic optimization of a class of mass transportation systems is formulated, and a method for optimal solutions is developed. The dynamic formulation is based on previously estimated supply decision functions and disaggregate demand specifications. Conditions for the existence and stability of solutions are derived to establish the necessary boundary conditions for the optimization. Maximization of a cost-effectiveness objective is sought subject to performance constraints, while cost is the control. The optimal control algorithm uses Pontryagin's necessary conditions of optimality with a penalty method. The initial values of the adjoint vector and the penalty coefficients are evaluated in such a way that the final conditions are satisfied and the extremal distances between the obtained trajectory and the constraints are imposed.

AB - The problem of dynamic optimization of a class of mass transportation systems is formulated, and a method for optimal solutions is developed. The dynamic formulation is based on previously estimated supply decision functions and disaggregate demand specifications. Conditions for the existence and stability of solutions are derived to establish the necessary boundary conditions for the optimization. Maximization of a cost-effectiveness objective is sought subject to performance constraints, while cost is the control. The optimal control algorithm uses Pontryagin's necessary conditions of optimality with a penalty method. The initial values of the adjoint vector and the penalty coefficients are evaluated in such a way that the final conditions are satisfied and the extremal distances between the obtained trajectory and the constraints are imposed.

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U2 - 10.1109/cdc.1990.203898

DO - 10.1109/cdc.1990.203898

M3 - Conference article

AN - SCOPUS:0025569255

SN - 0191-2216

VL - 3

SP - 1641

EP - 1645

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6)

Y2 - 5 December 1990 through 7 December 1990

ER -

Optimal control of nonlinear dynamic transportation systems

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