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Optimal finite-precision state-estimate feedback controller realizations of discrete-time systems

Optimal finite-precision state-estimate feedback controller realizations of discrete-time systems
Optimal finite-precision state-estimate feedback controller realizations of discrete-time systems
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.
0018-9286
1550-1554
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e

Wu, J., Chen, S., Li, G. and Chu, J. (2000) Optimal finite-precision state-estimate feedback controller realizations of discrete-time systems. IEEE Transactions on Automatic Control, 45 (8), 1550-1554.

Record type: Article

Abstract

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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Published date: August 2000
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 251074
URI: http://eprints.soton.ac.uk/id/eprint/251074
ISSN: 0018-9286
PURE UUID: 3908124e-5178-46aa-bb65-7bfa657d16a0

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Date deposited: 25 Sep 2000
Last modified: 14 Mar 2024 05:08

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Contributors

Author: J. Wu
Author: S. Chen
Author: G. Li
Author: J. Chu

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