International Journal of Control, Vol.62, No.4, 799-811, 1995
Beta-Predictive Regulator
A new digital controller named a beta-predictive regulator is proposed. The digital control system design procedure is extremely simple. The discrete process model for the sampling period beta Delta t, beta>1, for the control sampling period Delta t is determined. This model is applied at time t = k Delta t as the one-step ahead predictor for the controlled output. Equalizing the predicted controlled output yp((k + I)Delta t) with the desired process output y(r)((k + I)Delta t), obtains the control input u(k). The desired process output y(r)((k + I)Delta t) is defined, as in model algorithmic control, by a first-order reference trajectory, with the speed of response defined by a parameter alpha(beta) <1. This parameter is used for direct adjustment of the closed-loop speed of response. The parameter beta is used for stabilization of the closed-loop system. The performance of the design method proposed is demonstrated by some simulation results.