Citation:
Jun Wu, Sheng Chen, James F. Whidborne, and Jian Chu; A Unified Closed-Loop
Stability Measure for Finite-Precision Digital Controller Realizations
Implemented in Different Representation Schemes. IEEE Transactions on Automatic
Control, May 2003 Vol. 48, No. 5, pp. 816-822.
Abstract:
A computationally tractable unified finite word length closed-loop stability
measure is derived which is applicable to fixed-point, floating-point and block-
floating-point representation schemes. Both the dynamic range and precision of
an arithmetic scheme are considered in this new unified measure. For each
arithmetic scheme, the optimal controller realization problem is defined and a
numerical optimization approach is adopted to solve it. Numerical examples are
used to illustrate the design procedure and to compare the optimal controller
realizations in different representation schemes.
