A Stabilization Framework for the Output Regulation of Rational Nonlinear Systems

A systematic stabilization approach is provided for systems whose regulation error dynamics is subject to rational nonlinearities given prior knowledge of the system zero-error steady-state condition and a proper internal model. The error dynamics is cast in a differential-algebraic form so as to ad...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 65; no. 11; pp. 4860 - 4865
Main Authors Castro, Rafael da Silveira, Flores, Jeferson Vieira, Salton, Aurelio Tergolina, Chen, Zhiyong, Coutinho, Daniel F.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Closed loop systems
Differential-algebraic representation
Errors
Linear matrix inequalities
Mathematical model
Nonlinear systems
Optimization
output regulation
rational nonlinear systems
Regulation
Stability analysis
Stabilization
Steady-state
Systematics
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ISSN0018-9286
1558-2523
DOI10.1109/TAC.2019.2959971

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Summary:A systematic stabilization approach is provided for systems whose regulation error dynamics is subject to rational nonlinearities given prior knowledge of the system zero-error steady-state condition and a proper internal model. The error dynamics is cast in a differential-algebraic form so as to address the synthesis of controller parameters by a numerical optimization problem subject to bilinear matrix inequality constraints. A particular case is also explored where the resulting constraints are linear matrix inequalities.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2019.2959971