Observer-Based Stabilization of Lipschitz Nonlinear Systems by Using a New Matrix-Multiplier Based LMI Approach

This paper deals with observer-based control design for a class of Lipschitz nonlinear systems with nonlinear outputs. Based on the use of Lipschitz property and Young inequality in convenient ways, a novel LMI-based design technique is proposed. The method is also mainly based on exploiting new mat...

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Bibliographic Details
Published in:IEEE control systems letters 2023-01, Vol.7, p.1-1
Main Authors: Mohite, Shivaraj, Alma, Marouane, Zemouche, Ali
Format: Article
Language:English
Subjects:
Automatic
Automatic Control Engineering
Computer Science
Engineering Sciences
Estimation error
Input-to-state stability (ISS) property
Linear matrix inequalities
Linear Matrix Inequalities (LMIs)
Lipschitz systems
Lyapunov methods
Mathematics
Nonlinear observer-based control
Nonlinear systems
Observers
Real-time systems
Symmetric matrices
Systems and Control
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Summary:This paper deals with observer-based control design for a class of Lipschitz nonlinear systems with nonlinear outputs. Based on the use of Lipschitz property and Young inequality in convenient ways, a novel LMI-based design technique is proposed. The method is also mainly based on exploiting new matrix-multiplier techniques, which allow the involvement of extra decision variables in the LMI conditions while improving the feasibility of the proposed LMI conditions. All these mathematical tools, used in a judicious manner, made it possible to obtain less conservative LMI conditions compared to previous LMIs existing in the literature. Furthermore, the established approach ensures a real-time ISS bound on the observer-based stabilization error. The validity and superiority of the developed methodology are validated through a numerical example.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2023.3341549