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Energy absorption capacity; a new concept for stability analysis of nonlinear dynamic systems
Author(s) -
Jamshidifar Ali Akbar,
Afshar Ahmad
Publication year - 2009
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.78
Subject(s) - lyapunov function , stability (learning theory) , component (thermodynamics) , nonlinear system , control theory (sociology) , function (biology) , energy (signal processing) , value (mathematics) , computer science , mathematics , control (management) , artificial intelligence , physics , statistics , quantum mechanics , machine learning , evolutionary biology , biology , thermodynamics
Stability is the main concern considered for every system. Generally the well‐known Lyapunov and input‐output stability methods are utilized for the stability analysis of nonlinear systems. These methods face serious difficulties as the size and complexity of the systems increases. In this paper a new approach is presented to overcome this problem by introducing a new concept “Energy Absorption Capacity” (EAC) for every component. The EAC of the system can be derived from its component EACs considering their interaction. It is shown that the stability of every individual component is assured if its EAC has a positive value. The proposed approach is less conservative compared to a Lyapunov‐based approach. This is due to its reliance on EAC as the extreme value of energy function rather than the function itself. Some examples are given to support the proposed approach. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society