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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.
MSC:
93C40 Adaptive control/observation systems
93B50 Synthesis problems
93E20 Optimal stochastic control
93C05 Linear systems in control theory
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References:
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