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Approximate parallel controllers for discrete stochastic weakly coupled linear systems. (English) Zbl 0745.93082
From the authors summary: “The global Kalman filter of linear weakly coupled discrete systems is exactly decomposed into separate reduced- order local filters, via the use of a decoupling transformation. The approximate parallel controllers, up to an arbitrary degree of accuracy, are derived by approximating coefficients of the optimal control law. The proposed method allows parallel processing of information and reduces both off-line and on-line computational requirements. A real-world example demonstrates the efficiency of the proposed method.”.
Reviewer: M.C.Cranston

MSC:
93E20 Optimal stochastic control
93A15 Large-scale systems
93C05 Linear systems in control theory
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References:
[1] Kokotovic, Proc. IEE 116 pp 889– (1969)
[2] Delacour, Int. J. Control 27 pp 753– (1978)
[3] Petkovski, Int. J. Control 29 pp 661– (1979) · Zbl 0498.93018 · doi:10.1080/00207177908922800
[4] Mahmoud, Int. J. Control 28 pp 261– (1978)
[5] Sezer, Automatica 22 pp 321– (1986)
[6] Ishimatsu, Int. J. Control 22 pp 877– (1975)
[7] Washburn, IEEE Trans. Automatic Control AC-25 pp 71– (1980)
[8] Khalil, IEEE Trans. Automatic Control AC-23 pp 289– (1978)
[9] Mahmoud, Proc. IEE 129 pp 129– (1982) · doi:10.1049/ip-d.1982.0026
[10] Petrovic, J. Optim. Theory Appl. 56 pp 463– (1988)
[11] Harkara, Int. J. Control 50 pp 1– (1989)
[12] and , Singularly Perturbed and Weakly Coupled Linear Control Problems–A Recursive Approach, Springer, New York and Berlin, 1990. · doi:10.1007/BFb0005209
[13] Gajic, Int. J. Control 50 pp 1517– (1989)
[14] Shen, Automatica 26 pp 919– (1990)
[15] Shen, IEEE Trans. Automatic Control AC-35 pp 600– (1990)
[16] Gajic, IEEE Trans. Automatic Control AC-35 (1990)
[17] and , Linear Optimal Control Systems, Wiley-Interscience, New York, 1972.
[18] Kondo, IEEE Trans. Automatic Control AC-31 pp 50– (1986)
[19] Khalil, IEEE Trans. Automatic Control AC-29 pp 531– (1984)
[20] Power, Electron. Lett. 3 (1967)
[21] ’Near-optimum reduced-order stochastic control of linear discrete and continuous systems with small parameters’, Ph.D Dissertation, Rutgers University, 1990.
[22] Kautsky, Int. J. Control 41 pp 1129– (1985)
[23] and , ’L-A-S computer-aided control system design language’, 243–261 in and (eds), Computer Aided Control System Engineering, North-Holland, Amsterdam, 1985.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.