Abstract
The paper analyzes the sensitivity of closed-loop stability with respect to (w.r.t.) finite word length (FWL) effects in the implementation of the controller coefficients using both the shift and delta operator parameterizations. A unified approach is established to optimize a closed-loop stability lower bound for FWL controller structures. This provides a general framework to compare the FWL closed-loop stability characteristics of the controller structures based on the shift and delta operators, respectively. Two numerical examples are given, and the simulation results show that the optimal FWL controller realizations with the delta operator have better closed-loop stability margins than those with the shift operator.
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