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Discrete time optimal control of linear time‐delay systems
Author(s) -
Lee TsuTian,
Sheu HsinTeng
Publication year - 1994
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.4660150204
Subject(s) - discrete time and continuous time , eigenvalues and eigenvectors , control theory (sociology) , mathematics , radius , linear quadratic regulator , quadratic equation , control (management) , optimal control , time complexity , linear system , computer science , mathematical optimization , mathematical analysis , algorithm , physics , geometry , statistics , computer security , quantum mechanics , artificial intelligence
A discrete time optimal control for linear time‐delay systems is developed to ensure that all closed‐loop eigenvalues will lie inside a circular region centred at (β;, 0) with radius α. It is shown that by suitable manipulations the problem can be reduced to a standard discrete time quadratic regulator problem. An illustrative example is included to demonstrate the applicability of the proposed method.