The determination of optimal finite precision controller realizations using a global optimization strategy: pole sensitivity approach
The determination of optimal finite precision controller realizations using a global optimization strategy: pole sensitivity approach
The pole-sensitivity approach is a general method for analyzing the stability of the discrete-time control system with a finite word length (FWL) implemented digital controller. It leads to a non-smooth and non-convex optimization framework, where an optimal controller realization can be designed by maximizing some stability related measure. In this contribution, a new stability related measure is derived, which is more accurate in estimating the closed-loop stability robustness of an FWL implemented controller than the existing measures of pole-sensitivity analysis. This improved stability related measure provides a better criterion to find the optimal FWL realizations for a generic controller structure that includes output-feedback and observer-based controllers. An efficient global optimization strategy called the adaptive simulated annealing (ASA) is adopted to solve for the resulting optimization problem. A numerical example is included to verify the theoretical analysis and to illustrate the design procedure.
1-85233-390-1
87-104
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
2001
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S. and Wu, J.
(2001)
The determination of optimal finite precision controller realizations using a global optimization strategy: pole sensitivity approach.
Istepanian, R.S.H. and Whidborne, J.F.
(eds.)
In Digital Controller Implementation and Fragility: A Modern Perspective.
Springer.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
The pole-sensitivity approach is a general method for analyzing the stability of the discrete-time control system with a finite word length (FWL) implemented digital controller. It leads to a non-smooth and non-convex optimization framework, where an optimal controller realization can be designed by maximizing some stability related measure. In this contribution, a new stability related measure is derived, which is more accurate in estimating the closed-loop stability robustness of an FWL implemented controller than the existing measures of pole-sensitivity analysis. This improved stability related measure provides a better criterion to find the optimal FWL realizations for a generic controller structure that includes output-feedback and observer-based controllers. An efficient global optimization strategy called the adaptive simulated annealing (ASA) is adopted to solve for the resulting optimization problem. A numerical example is included to verify the theoretical analysis and to illustrate the design procedure.
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Published date: 2001
Additional Information:
To appear in 2001, a book chapter Chapter: 6
Venue - Dates:
Digital Controller Implementation and Fragility: A Modern Perspective, 2001-01-01
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 253747
URI: http://eprints.soton.ac.uk/id/eprint/253747
ISBN: 1-85233-390-1
PURE UUID: 2105b12e-66db-446e-bbcc-b5e35f3f0039
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Date deposited: 05 Oct 2001
Last modified: 14 Mar 2024 05:28
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Contributors
Author:
S. Chen
Author:
J. Wu
Editor:
R.S.H. Istepanian
Editor:
J.F. Whidborne
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