Premium
Mismatch and the optimal control of linear systems with time delays
Author(s) -
Hocken R. D.,
Marshall J. E.
Publication year - 1982
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.4660030301
Subject(s) - control theory (sociology) , scheme (mathematics) , equivalence (formal languages) , control (management) , linear system , quadratic equation , linear quadratic gaussian control , mathematics , control system , optimal control , computer science , mathematical optimization , engineering , artificial intelligence , geometry , discrete mathematics , electrical engineering , mathematical analysis
Two control schemes are devised to minimize a quadratic cost functional associated with a time varying linear system, when the linear system forms part of a plant that may contain delays in both control and measurement. Control scheme (1) makes use of prior knowledge of the initial state of the linear system, whereas control scheme (2) does not. Both control schemes contain models of the plant and any difference between plant and model is referred to as mismatch. Matched control scheme (1) is optimal, whereas matched control scheme (2) is optimal if and only if the plant does not contain measurement delay. As matched control scheme (2) is suboptimal for plant with delay in measurement, in this instance mismatch may improve performance. The type of mismatch which may produce this improvement is obtained using a concept referred to as equivalence.