Selftuning LQ controllers with prespecified state. (English) Zbl 0624.93038

A design of simple selftuning LQ controllers (e.g. equivalent to a digital PID regulator) is proposed, based on a more complex model than corresponds to a prespecified controller structure. The core of the approach consists in the optimal transformation of the model to the form needed for the optimal design of a controller working on the prespecified part of a measurable system state. The standard selftuning setting is assumed, i.e. recursively gained point estimates substitute unknown parameters. In this way an attempt is done to make up for mismodelling errors and to gain a basis for comparing the performance of different strategies for simple digital control. The presented specialization to LQG problems with a multistep criterion is proposed for practical use in fixed controller adjustment.


93C40 Adaptive control/observation systems
93B50 Synthesis problems
93E20 Optimal stochastic control
93C05 Linear systems in control theory
Full Text: EuDML


[1] J. Bohm A. Halousková M. Kárný, V. Peterka: Simple LQ selftuning controllers. Preprints 9th IFAC World Congress, Budapest 1984, 7, 171 - 176.
[2] C. E. Rohrs M. Athans L. Valavani, G. Stein: Some design guide-lines for discretetime adaptive controllers. Preprints 9th IFAC World Congress, Budapest 1984, 7, 81 - 86. · Zbl 0566.93034 · doi:10.1016/0005-1098(84)90015-3
[3] K. Warwick: Reduced order selftuning controller. Preprints of 7th IFAC/IFORS Symposium on Identification and System Parameter Estimation 1985, York, UK, 2, 1305-1309.
[4] M. Kárný A. Halousková J. Böhm R. Kulhavý, P. Nedoma: Design of Linear Quadratic Adaptive Control: Theory and Alporithms for Practice. Supplement to Kybernetika 21 (1985), No. 3 - 6, pp. 1-97. · Zbl 0586.93040
[5] V. Peterka: Bayesian approach to system identification. Trends and Progress in System Identification (P. Eykhoff. Pergamon Press, Oxford, Chapter 8, 239-304, 1981. · Zbl 0451.93059
[6] M. Kárný: Algorithms for determining the model structure of a controlled system. Kybernetika 19 (1983), 164-178.
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.