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Reduced-order, multivariable models with pure time delays

✍ Scribed by Zenta Iwai; D. G. Fisher; D. E. Seborg


Publisher
American Institute of Chemical Engineers
Year
1985
Tongue
English
Weight
746 KB
Volume
31
Category
Article
ISSN
0001-1541

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πŸ“œ SIMILAR VOLUMES


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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 multivaria

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## This paper considers the problem of optimally approximating high-order transfer functions by low-order ones with a time delay. The performance index used for optimization is the integral of squared error (BE) between the unit-step responses of the reduced-order and original transfer functions.

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For monovariable systems, if the nominal transfer function is irreducible the minimal order is tlw clqwr of'tllr(/~~tl(~l~litl~ltot.~)ol!'l~ol~liCtl. In multivariable systems. this order is (I/ krst equal to the degree of the last common multiple of the denominators of the transfer matrix function e

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In this paper, practical stability properties of linear multivariable feedback systems with time-delays are studied. The control schemes considered are conventional feedback control and Smith Predictor control. Depending upon the known perturbation structures, tight conditions are given which guaran

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The problem of the optimal control of systems modeled by transfer functions containing pure time delays is transformed to a differential-difference equation formulation. The optimal feedback control law analogous to that of Kalman [ 121 for undelayed systems is applied to these problems. The case wh

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In this article we study the global stability in reaction-diffusion models for single-species population growth under environmental toxicants with or without time delays. The existence and uniqueness of a positive steady-state solution are established in those models. It is shown that as long as the