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LFT/SDP approach to the uncertainty analysis for state estimation of water distribution systems

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2 Author(s)
Nagar, A.K. ; Dept. of Syst. Eng., Brunel Univ., Uxbridge, UK ; Powell, R.S.

A state estimator is an algorithm that computes the current state of a time-varying system from online measurements. Physical quantities such as measurements and parameters are characterised by uncertainty. Understanding how uncertainty affects the accuracy of state estimates is therefore a pre-requisite to the application of such techniques to real systems. In this paper a method of uncertainty analysis is developed based on linear fractional transformations (LFT) and ellipsoid-of-confidence bounds are obtained by recasting the LFT problem into a semidefinite programming problem (SDP). The ideas are illustrated by applying them to a simple example of a twelve-node water distribution network and the simulation results, obtained using the MATLAB mathematical package, are reported

Published in:

Control Theory and Applications, IEE Proceedings -  (Volume:149 ,  Issue: 2 )