Abstract
In this paper the digital control problem of single-input-single-output (SISO) continuous-time model referrence adaptive control (MRAC) systems is considered. For a given SISO continuous-time system a discrete-time model is developed via block-pulse functions (BPF). Recursive algorithms which can give piece-wise continuous control inputs can be derived from the control rules of the continuous-time MRAC systems using this discrete time model. Since the control algorithms derived by this method still use the parameters of the continuous-time system, the adjustment of the parameters and the choice of the sampling period can be done independently. Therefore one can easily redesign the MRAC systems for different sampling periods according to the requirement of the accuracy once a control algorithm is obtained. Furthermore, the unboundness problem of the multiintegral operation of initial values and input-output varibles of the system is also discussed. The effectiveness of our method is shown by the computer simulation of a numerical example.
