Open AccessDistributed state observer design for networked dynamic systems
Author(s) -
Liu Huabo,
Zhou Tong
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2015.0494
Subject(s) - control theory (sociology) , linear matrix inequality , observer (physics) , diagonal , state (computer science) , diagonal matrix , computer science , block matrix , symmetric matrix , matrix (chemical analysis) , lti system theory , stability (learning theory) , state observer , linear system , mathematics , control (management) , mathematical optimization , nonlinear system , algorithm , mathematical analysis , physics , quantum mechanics , artificial intelligence , eigenvalues and eigenvectors , geometry , materials science , machine learning , composite material
Two linear matrix inequality (LMI)‐based sufficient conditions are derived for stability analysis of networked systems with linear time invariant dynamics, which depend only on the parameters of each subsystem and the subsystem connection matrix. Relations among the new sufficient conditions and the previous one are discussed. Then, a distributed state observer is constructed for networked systems. Several LMI‐based conditions are further established to design a completely distributed state observer that can be stabilised by a block diagonal gain matrix. Numerical simulations show that these methods are attractive in the analysis and synthesis of large‐scale networked systems.