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A comparative study on optimizing closed-loop stability bounds of finite-precision PID controller structures with shift and delta operator realizations

A comparative study on optimizing closed-loop stability bounds of finite-precision PID controller structures with shift and delta operator realizations
A comparative study on optimizing closed-loop stability bounds of finite-precision PID controller structures with shift and delta operator realizations
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 z and delta operator parameterizations. A unified approach is established to optimize a closed-loop stability lower bound for FWL PID controller structures. A numerical example is given. The simulation results show that the optimal controller realizations with the delta operator have better stability margins than those with the z operator.
VI(A).1.1-VI(A).1.8
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. (1999) A comparative study on optimizing closed-loop stability bounds of finite-precision PID controller structures with shift and delta operator realizations. In Proceedings of DYCON99. VI(A).1.1-VI(A).1.8 .

Record type: Conference or Workshop Item (Paper)

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 z and delta operator parameterizations. A unified approach is established to optimize a closed-loop stability lower bound for FWL PID controller structures. A numerical example is given. The simulation results show that the optimal controller realizations with the delta operator have better stability margins than those with the z operator.

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More information

Published date: 1999
Venue - Dates: DYCON99, Canada, 1999-08-04 - 1999-08-07
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 251066
URI: http://eprints.soton.ac.uk/id/eprint/251066
PURE UUID: 319e5c32-fb27-406c-824b-4c72cf6774bf

Catalogue record

Date deposited: 31 Mar 2000
Last modified: 08 May 2020 16:33

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Contributors

Author: S. Chen
Author: R. H. Istepanian
Author: J. Wu
Author: J. Chu

University divisions

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