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Composite antidisturbance control for nonlinear systems via nonlinear disturbance observer and dissipative control
Author(s) -
Qi Shengbo,
Wang HongDu,
Wu HuaiNing,
Guo Lei
Publication year - 2019
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.4595
Subject(s) - control theory (sociology) , dissipative system , nonlinear system , passivity , linear matrix inequality , composite number , disturbance (geology) , observer (physics) , control system , sliding mode control , controller (irrigation) , control (management) , mathematics , computer science , engineering , mathematical optimization , physics , paleontology , algorithm , quantum mechanics , artificial intelligence , agronomy , electrical engineering , biology
Summary This paper investigates the design problem of composite antidisturbance control for a class of nonlinear systems with multiple disturbances. First, a novel nonlinear disturbance observer‐based control scheme is constructed to estimate and compensate the disturbance modeled by the nonlinear exosystem. Then, by combining the dissipative control theory, a linear matrix inequality‐based design method of composite antidisturbance control is developed such that the augmented system is exponentially stable in the absence of unmodeled disturbances, and is dissipative in the presence of unmodeled disturbances. In this case, the original closed‐loop system is exponentially stable in the presence of modeled disturbances. Subsequently, two special cases of composite antidisturbance control are derived with H ∞ performance and passivity, respectively. Finally, the proposed method is applied to control A4D aircraft to show its effectiveness.