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Constrained \(H_\infty\) estimation for time-varying networks with hybrid incomplete information. (English) Zbl 1390.93772

Summary: This paper deals with the constrained \(H_\infty\) estimation problem for a class of time-varying complex networks with hybrid incomplete information including randomly occurring uncertainties, randomly occurring nonlinearities, and fading measurements over a finite horizon. Communication links among nodes have uncertain coupling strengths, which can be transformed into a norm-bounded inner coupling matrix based on the interval matrix approach. The proposed performance requirements not only quantify the degree of the estimation error with regard to unknown-but-bounded disturbances but also confine the estimation error in a constrained set. By exploiting the intensive stochastic analysis and the set-membership method, sufficient conditions are developed under which networks fulfill the \(H_\infty\) performance and the bounded constraint, respectively. Then, a new criterion is derived to ensure the prescribed requirements in terms of recursive linear matrix inequalities suitable for online computation. Finally, a simulation example is provided to show the effectiveness of the developed results.

MSC:

93E10 Estimation and detection in stochastic control theory
93B36 \(H^\infty\)-control
93C41 Control/observation systems with incomplete information
90B15 Stochastic network models in operations research
93C10 Nonlinear systems in control theory
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