Closed-loop scaling in fixed-point digital control
Maarten Steinbuch, Gerrit Schootstra, Hoon-Toh Goh · IEEE Transactions on Control Systems Technology · 1994
In fixed-point implementation of digital controllers, the effects of quantization can be reduced by proper scaling of the controller parameters. Commonly, controllers are scaled using l1 norm based calculations, i.e., determining the worst case impulse response of the controller. This is only possible, however, if the controller is asymptotically stable. If this is not the case, a solution is to calculate the scaling transformation on the basis of the closed-loop impulse responses. From the experience with actual implementation on a compact disc system, frequency weighting reflecting the disturbance spectrum has to be applied as well to obtain good experimental results