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Passivity‐based parameterized adaptive disturbance attenuation controller design for switched polynomial nonlinear systems
Author(s) -
Zhu Huawei,
Hou Xiaorong
Publication year - 2018
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2919
Subject(s) - parameterized complexity , control theory (sociology) , passivity , attenuation , nonlinear system , polynomial , controller (irrigation) , adaptive control , computer science , mathematics , disturbance (geology) , engineering , control (management) , algorithm , physics , artificial intelligence , mathematical analysis , agronomy , optics , quantum mechanics , electrical engineering , biology , paleontology
Summary This paper is concerned with the adaptive disturbance attenuation control problem for a class of switched polynomial nonlinear systems. At first, a parameterized controller is designed to transform the switched polynomial nonlinear systems into switched Hamiltonian systems with polynomial structure. Then, combining with the solve‐parameter algorithm described in this paper, a mixed adaptive passivity and H 2 / H ∞ control method is devoted. Comparing with the existing results, the obtained adaptive disturbance attenuation controller has better performance. Finally, a numerical example is given to illustrate the effectiveness of the proposed methods.