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- Åström, Karl Johan, et al.
(författare)
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On Self-Tuning Regulators
- 1973
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Ingår i: Automatica. - : Elsevier BV. - 0005-1098. ; 9:2, s. 185-199
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Tidskriftsartikel (refereegranskat)abstract
- The problem of controlling a system with constant but unknown parameters is considered. The analysis is restricted to discrete time single-input single-output systems. An algorithm obtained by combining a least squares estimator with a minimum variance regulator computed from the estimated model is analysed. The main results are two theorems which characterize the closed loop system obtained under the assumption that the parameter estimates converge. The first theorem states that certain covariances of the output and certain cross-covariances of the control variable and the output will vanish under weak assumptions on the system to be controlled. In the second theorem it is assumed that the system to be controlled is a general linear stochastic nth order system. It is shown that if the parameter estimates converge the control law obtained is in fact the minimum variance control law that could be computed if the parameters of the system were known. This is somewhat surprising since the least squares estimate is biased. Some practical implications of the results are discussed. In particular it is shown that the algorithm can be feasibly implemented on a small process computer.
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- Åström, Karl Johan, et al.
(författare)
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Problems of Identification and Control
- 1971
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Ingår i: Journal of Mathematical Analysis and Applications. - 0022-247X. ; 34:1, s. 90-113
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Tidskriftsartikel (refereegranskat)
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- Åström, Karl Johan, et al.
(författare)
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Theory and applications of adaptive regulators based on recursive parameter estimation
- 1975
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Ingår i: IFAC Proceedings Volumes : 6th IFAC World Congress (IFAC 1975) - 6th IFAC World Congress (IFAC 1975). ; 8:1:1
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Konferensbidrag (refereegranskat)abstract
- The motivation for this work has been to simplify the design of regulators for industrial processes. The regulators designed can be regarded as self-tuning regulators. They will serve as a substitute for the time-consuming process of plant experiments, parameter estimation and control design. The regulators can also be used as adaptive regulators for processes with slowly varying parameters. The paper describes such regulators, outlines their theory and reviews industrial applications.
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- Åström, Karl Johan, et al.
(författare)
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Theory and Applications of Self Tuning Regulators
- 1977
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Ingår i: Automatica. - : Elsevier. - 0005-1098 .- 1873-2836. ; 13:5, s. 457-476
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Tidskriftsartikel (refereegranskat)abstract
- This paper reviews work on self-tuning regulators. The regulator algorithms, their theory and industrial applications are reviewed. The paper is expository—the major ideas are covered but detailed analysis is given elsewhere.
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