抄録
In digital control systems, the execution of the control algorithm inevitably generates the rounding error due to the finite word length of the register of the digital controller. If the control performance is expected to be high, the effect of rounding error should be estimated quantitatively, especially when the register word length is small. In this paper, the effect of rounding error based on floating point arithmetic is investigated for the finite settling-time control algorithm, which is the most popular method of digital control. A theoretical error bound is derived based on the statistical analysis of rounding error. The validity of this bound is exhibited experimentally by hybrid simulations for a second-order and a third-order systems.
