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Constructing sparse realisations of finite-precision digital controllers based on a closed-loop stability related measure

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4 Author(s)
Wu, J. ; Nat. Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China ; Chen, S. ; Li, G. ; Chu, J.

The authors present a study of the finite word length (FWL) implementation for digital controller structures with sparseness consideration. A closed-loop stability related measure is derived, taking into account the number of trivial elements in a controller realisation. A practical design procedure is presented, which first obtains a controller realisation that maximises a lower bound of the proposed measure, and then uses a stepwise algorithm to make the realisation sparse. Simulation results show that the proposed design procedure yields computationally efficient controller realisations with an enhanced FWL closed-loop stability performance.

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Control Theory and Applications, IEE Proceedings -  (Volume:150 ,  Issue: 1 )