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Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators

Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators
Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators
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.
153-163
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Istepanian, R. H.
b71b8b46-cb69-4fcd-8253-d2e7a93079ea
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Istepanian, R. H.
b71b8b46-cb69-4fcd-8253-d2e7a93079ea
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e

Chen, S., Istepanian, R. H., Wu, J. and Chu, J. (2000) Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators. Systems & Control Letters, 40 (3), 153-163.

Record type: Article

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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Published date: June 2000
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 251075
URI: http://eprints.soton.ac.uk/id/eprint/251075
PURE UUID: b499b95b-bd06-4aec-aa75-f83255e3dfff

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Date deposited: 10 May 2000
Last modified: 16 Dec 2019 20:47

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