Wu, J., Chen, S., Li, G. and Chu, J.
Optimal finite-precision state-estimate feedback controller realizations of discrete-time systems.
IEEE Transactions on Automatic Control, 45, (8), .
This paper investigates the stability issue of a discrete-time control system, where a state-estimate feedback controller (SEFC), digitally implemented with fixed-point format, is used. A tractable closed-loop stability related measure is derived with finite-word-length (FWL) implementation consideration of the controller. The optimal realizations of the SEFC are defined as those that maximize this measure and can be shown as the solutions of a nonlinear programming problem. A sophisticated optimization strategy is presented to provide an efficient method for solving this problem, and a numerical example is given to illustrate the design procedure.
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