Peterka, V. Predictor-based self-tuning control. (English) Zbl 0539.93054 Automatica 20, 39-50 (1984). This paper deals with a single-input single-output stochastic system driven by a digital self-tuning controller. It is required that the controller is automatically tuned also with respect to possible changes of the setpoint (command signal), which may be either a-priori known (program control) or uncertain (servo), or it may be required that the process output follows the output of a reference model (model following). The self-tuning controller may include the feedforward from the measurable external disturbance, if available. Linear finite-memory output predictors updated in real-time appear to be a suitable internal representation of the system in the digital self- tuning controller. In most cases of industrial process control the Incremental-predictors should be preferred to Positional-predictors. Two main arguments for this recommendation are presented. A new time- domain approach to the quadratic-optimum control synthesis for systems described by such predictors is presented. The method leads to algorithms (or explicit formulae in low-order cases) which are numerically robust and therefore suitable for real-time computation using microprocessors with reduced wordlength. Reviewer: M.Tibaldi Cited in 46 Documents MSC: 93C40 Adaptive control/observation systems 62M20 Inference from stochastic processes and prediction 93B50 Synthesis problems 60G25 Prediction theory (aspects of stochastic processes) 93E25 Computational methods in stochastic control (MSC2010) 93E20 Optimal stochastic control Keywords:digital self-tuning controller; command signal; program control; servo; model following; Linear finite-memory output predictors; time-domain approach; algorithms × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Åström, K. J., (Introduction to Stochastic Control Theory (1970), Academic Press) · Zbl 0226.93027 [2] Åström, K. J., Self-tuning regulators—design principles and applications, (Proceedings of Yale Workshop on Applications of Adaptive Control (1979), Academic Press) · Zbl 0945.93561 [3] Åström, K. J., Design principles for self-tuning regulators, (International Symposium on Methods and Applications in Adaptive Control (1980), Springer: Springer Bochum) · Zbl 0945.93561 [4] Bierman, G. J., (Factorization Methods for Discrete Sequential Estimation (1977), Academic Press) · Zbl 0372.93001 [5] Chang, S. S.L., (Synthesis of Optimum Control Systems (1961), McGraw-Hill) [6] Clarke, D. W.; Gawthrop, P. J., Self-tuning controller, (Proc. IEE, 122 (1975)), 929 · Zbl 0507.93048 [7] Kárný, M., Identification with interruptions as an antibursting device, Kybernetika, 18, 320 (1982) · Zbl 0506.93064 [8] Newton, G. C.; Gould, L. A.; Kaiser, J. F., (Analytical Design of Linear Feedback Controls (1957), John Wiley) [9] Peterka, V., Adaptive digital regulation of noisy systems, (2nd IFAC Symposium on Identification and Process Parameter Estimation. 2nd IFAC Symposium on Identification and Process Parameter Estimation, Paper 6.2 (1970), Academia: Academia Prague) · Zbl 0952.93074 [10] Peterka, V., On steady-state minimum-variance control strategy, Kybernetika, 8, 219 (1972) · Zbl 0256.93070 [11] Peterka, V., A square-root filter for real-time multivariate regression, Kybernetika, 11, 53 (1975) · Zbl 0314.62028 [12] Peterka, V.; Halousková, A., Effective algorithms for real-time multivariate regression, (Proceedings of 4th IFAC Symposium on Identification and System Parameter Estimation, Tbilisi, Vol. 3 (1976)), 100-110 · Zbl 0381.93069 [13] Peterka, V., Bayesian approach to system identification, (Eykhoff, P., Trends and Progress in System Identification (1981), Pergamon Press), Chapter 8 · Zbl 0451.93059 [14] Wellstead, P. E.; Prager, D.; Zanker, P., Pole assignment self-tuning regulator, (Proc. IEE, 126 (1979)), 781 · Zbl 0422.93096 [15] Wittenmark, B.; Åström, K. J., Simple self-tuning controller, (International Symposium on Methods and Applications in Adaptive Control (1980), Springer: Springer Bochum) · Zbl 0249.93049 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.