Abstract
The digital control of industrial systems in which the measurement system sample-time is longer than the controller and filter scan rate is considered. The problem is posed using a stochastic linear optimal control framework, and a separation principle is shown to apply. If the plant is assumed to be time-invariant and the noise sources are stationary, then the control gain matrix can be shown to be a constant matrix; however, the filter Riccati equation gives a periodic solution and the filter gain matrix is only non-zero at the measurement points. The conditions under which the dual rate feedback control system is asymptotically stable are established.
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More From: Transactions of the Institute of Measurement and Control
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