Peterka, Václav Control of uncertain processes: applied theory and algorithms. (English) Zbl 0607.93070 Kybernetika 22, Suppl. No. 3-6, 72 pp. (1986). Summary: Some advances in digital control of continuous linear stochastic processes with unknown parameters are reported. The theory is developed with emphasis on algorithmic and numerical aspects. Stochastic input- output models of ARMA form, contingently multivariate and with time delay, are used to represent the process to be controlled but, for numerical reasons in cases of fast sampling rates, also the theoretically equivalent Delta models are considered in parallel. PASCAL procedures, suitable for real time computation and microprocessor implementation, are given for the main resulting algorithms. This paper is a report on some recent advances in the research on industrial process control carried out at the Institute of Information Theory and Automation of the Czechoslovak Academy of Sciences. It can be considered as a self-contained continuation of the survey of earlier results presented by the author’s colleagues [M. Kárný, A. Halousková, J. Böhm, R. Kulhavý and P. Nedoma, ibid. 21, Suppl. No. 3-6 (1985; Zbl 0586.93040)]. Cited in 3 Documents MSC: 93E20 Optimal stochastic control 93C57 Sampled-data control/observation systems 93E25 Computational methods in stochastic control (MSC2010) 62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH) 65C99 Probabilistic methods, stochastic differential equations 68U99 Computing methodologies and applications 93C05 Linear systems in control theory Keywords:digital control; continuous linear stochastic processes with unknown parameters; real time computation; microprocessor implementation; algorithms Citations:Zbl 0586.93040 PDF BibTeX XML Full Text: EuDML References:  J. Böhm A. Halousková M. Kárný, V. 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R, Kulhavá: Restricted exponential forgetting in real-time identification. Preprints 7th IFAC/IFORS Symposium on Identification and System Parameter Estimation. York, 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.