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Numerical solution of time‐delayed optimal control problems with terminal inequality constraints
Author(s) -
Lee Llan Y.
Publication year - 1993
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660140306
Subject(s) - terminal (telecommunication) , mathematics , optimal control , argument (complex analysis) , scheme (mathematics) , mathematical optimization , control (management) , differential (mechanical device) , optimization problem , computer science , mathematical analysis , telecommunications , biochemistry , chemistry , artificial intelligence , engineering , aerospace engineering
In this short communication we consider an approximation scheme for solving time‐delayed optimal control problems with terminal inequality constraints. Time‐delayed problems are characterized by variables x ( t ‐ τ) with a time‐delayed argument. In our scheme we use a Páde approximation to determine a differential relation for y ( t ), an augmented state that represents x ( t ‐ τ). Terminal inequality constraints, if they exist, are converted to equality constraints via Valentine‐type unknown parameters. The merit of this approach is that existing, well‐developed optimization algorithms may be used to solve the transformed problems. Two linear/non‐linear time‐delayed optimal control problems are solved to establish its usefulness.