Abstract
A new digital controller named a β–predictive regulator is proposed. The digital control system design procedure is extremely simple. The discrete process model for the sampling period βδt, β > 1, for the control sampling period δt is determined. This model is applied at time t = kδt as the one-step ahead predictor for the controlled output. Equalizing the predicted controlled output y p((k + 1)δt) with the desired process output y r((k + 1)δt)obtains the control input u(k) The desired process output y r((k + 1)δt) is defined, as in model algorithmic control, by a first-order reference trajectory, with the speed of response defined by a parameter |αβ | < 1. This parameter is used for direct adjustment of the closed-loop speed of response. The parameter β is used for stabilization of the closed-loop system. The performance of the design method proposed is demonstrated by some simulation results.
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