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Optimal control of multivariable systems with pure time delays

✍ Scribed by M.A. Soliman; W.H. Ray

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
654 KB
Volume
7
Category
Article
ISSN
0005-1098

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✦ Synopsis

A neighboring optimal feedback control law for non-linear-systems having time delays may be applied to many systems including a non-isothermal continuous stirred tank reactor.

Summary--A brief review of the development of the theory and computational approaches for the optimal control of multivariable systems having pure time delays is given. Following this is a detailed discussion of the optimal feedback control of both linear and non-linear systems having pure time delays. A neighboring optimal feedback control scheme is developed for non-linear problems, and a chemical reactor control problem is worked to illustrate the performance of the controller.

Open loop control

The open loop control problem is to maximize the functional I=G(x(O))+ F(x(t), x(t-~l) .... x(t-~Zm), 0 u(t), n(t-flt) .... u(t-fl,))dt

(1) *

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