The Error Function in Low Order Modelling of Discrete-Time Systems
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AbstractThe modelling and adaptive control of high order discrete time systems is investigated in terms of the time domain error between the system and its associated model. The model is assumed to be of order less than that of the original system and the error is regarded as an input function filtered by characteristics of both system and model. It is shown how reduced order models can be obtained by means of specifying certain of the parameters contained within the error function and it is considered how standard order reduction techniques, such as Padé approximation and Markov parameter matching, can be carried out by employment of this method. The modelling procedure can also be incorporated in on-line, real-time adaptive controllers, a section is therefore devoted to the description of a self-tuning control scheme which is used to control a high order plant with a low order controller.

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