Scaling and Roundoff in Fixed-Point Implementation of Control Algorithms
Moustafa Elshafei Ahmed, Pierre R. Belanger · IEEE Transactions on Industrial Electronics · 1984
The analysis and design of digital controllers on microprocessors using fixed-point arithmetic have been considered. Three scaling techniques are applied to the design of digital controllers in such a way as to avoid overflow and to optimize the signal-to-roundoff noise ratio. Both the scaler and the multivariable cases are treated. Statistical estimates of the steady-state roundoff and quantization errors are derived.