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Set membership estimation of parameters and variables in dynamic networks by recursive algorithms with a moving measurement window. (English) Zbl 1111.93049

Summary: The paper considers a set membership joint estimation of variables and parameters in complex dynamic networks based on parametric uncertain models and limited hard measurements. A recursive estimation algorithm with a moving measurement window is derived that is suitable for on-line network monitoring. The window allows stabilising the classic recursive estimation algorithm and significantly improves estimate tightness. The estimator is validated on a case study regarding a water distribution network. Tight set estimates of unmeasured pipe flows, nodal heads, tank level and pipe resistances are obtained.

MSC:

93C55 Discrete-time control/observation systems
93C41 Control/observation systems with incomplete information
93C10 Nonlinear systems in control theory
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