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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 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
Springer
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Istepanian, R.S.H.
Whidborne, J.F.
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Istepanian, R.S.H.
Whidborne, J.F.

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. pp. 87-104 .

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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More information

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: https://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: 18 Jul 2017 09:56

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