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Constrained H ∞ estimation for time‐varying networks with hybrid incomplete information
Author(s) -
Wang Fan,
Liang Jinling
Publication year - 2017
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3894
Subject(s) - bounded function , constraint (computer aided design) , fading , mathematical optimization , computer science , computation , set (abstract data type) , interval (graph theory) , matrix (chemical analysis) , complete information , control theory (sociology) , mathematics , algorithm , control (management) , artificial intelligence , mathematical analysis , decoding methods , geometry , materials science , mathematical economics , combinatorics , composite material , programming language
Summary This paper deals with the constrained H ∞ 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 ∞ 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.