linear matrix inequalities

State Estimation for Nonlinear Dynamical Systems: Methods and Applications | Part 1B

Prof. Ali Zemouche, Université de Lorraine and Khadidja Chaïb Draa, TechnOptiz

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KAUST

Abstract In this lecture we will address the problem of observer design for nonlinear systems. It is mainly devoted to Linear Matrix Inequality (LMI) based methods and their use to improve observer design for a large class of nonlinear systems. A second part of this course will be dedicated to simple but useful contributions to high-gain observer design, where some techniques to improve performances of the standard high gain observer will be presented. Before tackling the problem of observer design, basic notions on stability by using direct and indirect Lyapunov methods will be thoroughly

State Estimation for Nonlinear Dynamical Systems: Methods and Applications | Part 2B

Prof. Ali Zemouche, Université de Lorraine and Khadidja Chaïb Draa, TechnOptiz

-

KAUST

Abstract In this lecture we will address the problem of observer design for nonlinear systems. It is mainly devoted to Linear Matrix Inequality (LMI) based methods and their use to improve observer design for a large class of nonlinear systems. A second part of this course will be dedicated to simple but useful contributions to high-gain observer design, where some techniques to improve performances of the standard high gain observer will be presented. Before tackling the problem of observer design, basic notions on stability by using direct and indirect Lyapunov methods will be thoroughly

State Estimation for Nonlinear Dynamical Systems: Methods and Applications | Part 2C

Prof. Ali Zemouche, Université de Lorraine and Khadidja Chaïb Draa, TechnOptiz

-

KAUST

Abstract In this lecture we will address the problem of observer design for nonlinear systems. It is mainly devoted to Linear Matrix Inequality (LMI) based methods and their use to improve observer design for a large class of nonlinear systems. A second part of this course will be dedicated to simple but useful contributions to high-gain observer design, where some techniques to improve performances of the standard high gain observer will be presented. Before tackling the problem of observer design, basic notions on stability by using direct and indirect Lyapunov methods will be thoroughly

State Estimation for Nonlinear Dynamical Systems: Methods and Applications | Part 2A

Prof. Ali Zemouche, Université de Lorraine and Khadidja Chaïb Draa, TechnOptiz

-

KAUST

Abstract In this lecture we will address the problem of observer design for nonlinear systems. It is mainly devoted to Linear Matrix Inequality (LMI) based methods and their use to improve observer design for a large class of nonlinear systems. A second part of this course will be dedicated to simple but useful contributions to high-gain observer design, where some techniques to improve performances of the standard high gain observer will be presented. Before tackling the problem of observer design, basic notions on stability by using direct and indirect Lyapunov methods will be thoroughly

State estimation for nonlinear dynamical systems: Methods and applications | Part 1C

Prof. Ali Zemouche, Université de Lorraine and Khadidja Chaïb Draa, TechnOptiz

-

KAUST

Abstract In this lecture we will address the problem of observer design for nonlinear systems. It is mainly devoted to Linear Matrix Inequality (LMI) based methods and their use to improve observer design for a large class of nonlinear systems. A second part of this course will be dedicated to simple but useful contributions to high-gain observer design, where some techniques to improve performances of the standard high gain observer will be presented. Before tackling the problem of observer design, basic notions on stability by using direct and indirect Lyapunov methods will be thoroughly

Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems

1 min read ·
Ibrahima N' Doye, et al., "Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems", IEEE/CAA Journal of Automatica Sinica 6 (1), 2019, 268. Abstract: In this paper, we propose a robust fractional-order proportional-integral (FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities (LMIs) approach by using an indirect Lyapunov method. The proposed FOPI observer is robust against Lipschitz