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Handling of nonlinear systems using filtered high‐gain output feedback controller
Author(s) -
Ma Tong,
Liu Yuqian,
Shih Cyuansi,
Cao Chengyu
Publication year - 2018
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.4360
Subject(s) - control theory (sociology) , robustness (evolution) , nonlinear system , high gain antenna , computer science , lipschitz continuity , robust control , output feedback , nonlinear control , automatic gain control , control engineering , engineering , mathematics , control (management) , bandwidth (computing) , amplifier , mathematical analysis , biochemistry , chemistry , artificial intelligence , electrical engineering , gene , computer network , physics , quantum mechanics
Summary This paper develops a filtered high‐gain output feedback controller for a class of nonlinear systems in the presence of unknown state‐dependent and time‐varying nonlinearities. It considers that the nonlinearities satisfy a semiglobal Lipschitz condition. The presence of high‐gain observer in the adaptive law delivers a good property of disturbance rejection at the cost of peaking phenomenon as well as reduced robustness. The addition of filtering mechanism in the control law overcomes the cons of high‐gain observer and makes it robust to uncertainties in modeling the nonlinear functions. In this way, the filtered high‐gain output feedback controller realizes nonlinear time‐varying uncertainty cancelation and good tracking delivering with guaranteed robustness. The simulation results demonstrate the high efficiency of our novel design for handling of a class of nonlinear systems in the presence of time‐varying uncertainty when compared with saturated control signal.