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A search algorithm for a class of optimal finite-precision controller realization problems with saddle points

Record type: Article

With game theory, we review the optimal digital controller realization problems that maximize a finite word length (FWL) closed-loop stability measure. For a large class of these optimal FWL controller realization problems which have saddle points, a minimax-based search algorithm is derived for finding a global optimal solution. The algorithm consists of two stages. In the first stage, the closed form of a transformation set is constructed which contains global optimal solutions. In the second stage, a subgradient approach searches this transformation set to obtain a global optimal solution. This algorithm does not suffer from the usual drawbacks associated with using direct numerical optimization methods to tackle these FWL realization problems. Furthermore, for a small class of optimal FWL controller realization problems which have no saddle point, the proposed algorithm also provides useful information to help solve them.

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Citation

Wu, J., Chen, S., Li, G. and Chu, J. (2005) A search algorithm for a class of optimal finite-precision controller realization problems with saddle points SIAM Journal on Control and Optimization, 44, (5), pp. 1787-1810.

More information

Published date: October 2005
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 261581
URI: http://eprints.soton.ac.uk/id/eprint/261581
PURE UUID: aee32396-e58c-460c-82a0-2c6f6e00e8c1

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Date deposited: 24 Nov 2005
Last modified: 18 Jul 2017 09:01

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Contributors

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

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