Near-optimum control of distributed parameter systems via singular perturbation theory

Journal Article · Tue Jun 01 00:00:00 EDT 1976 · J. Math. Anal. Appl.; (United States)

DOI:https://doi.org/10.1016/0022-247X(76)90197-9· OSTI ID:7361906

Asatani, K

The singular perturbation theory developed by Kokotovic et al. is applied to the distributed parameter system described by a set of parabolic differential equations involving a singularly perturbing parameter. The method is shown that gives an asymptotic expansion of the feedback gain matrix by introducing a Riccati-like decoupling and applying a boundary layer method developed in the lumped parameter system. The asymptotic expansion is uniformly valid in the time interval considered. The basic theorem giving the asymptotic accuracy is offered. The results are useful in many fields, e.g., nuclear reactor control with distributed parameters. A numerical example is shown. 17 references.

• Research Organization: Musashino Electrical Communication Lab., Tokyo
• OSTI ID: 7361906
• Journal Information: J. Math. Anal. Appl.; (United States), Journal Name: J. Math. Anal. Appl.; (United States) Vol. 54:3; ISSN JMANA
• Country of Publication: United States
• Language: English

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CONTROL SYSTEMS
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OPTIMIZATION
PERTURBATION THEORY
REACTOR CONTROL SYSTEMS
REACTOR KINETICS
REACTOR KINETICS EQUATIONS