Wu, J., Chen, S., Li, G. and Chu, J.
A search algorithm for a class of optimal finite-precision controller realization problems with saddle points.
SIAM Journal on Control and Optimization, 44, (5), .
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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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A search algorithm for a class of optimal finite-precision controller realization problems with saddle points. (deposited 24 Nov 2005)
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