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Least squares based self-tuning control of dual-rate systems. (English) Zbl 1055.93044

Summary: A polynomial transformation technique is used to obtain a frequency-domain model for a dual-rate system in which the output sampling period is an integer multiple of the input updating period. Based on this model, a self-tuning control algorithm is proposed by minimizing output tracking error criteria from directly the dual-rate input-output data. Convergence properties of the algorithm are analysed in detail in the stochastic framework. The output tracking error at the output sampling instants has the property of minimum variance. It is shown that the control algorithm can achieve virtually optimal control asymptotically, ensuring the closed-loop systems to be stable and globally convergent. A simulation example illustrates the self-tuning scheme presented.

MSC:

93C40 Adaptive control/observation systems
93E24 Least squares and related methods for stochastic control systems
93C57 Sampled-data control/observation systems
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