Finite-Time and Fixed-Time Observer Design: Implicit Lyapunov Function Approach

Abstract : This work deals with the problem of finite-time and fixed-time observation of linear multiple input multiple output (MIMO) control systems. The proposed nonlinear dynamic observers guarantee convergence of the observer states to the original system state in a finite and in a fixed (defined a priori) time. Algorithms for the observers parameters tuning are also provided and a robustness analysis against input disturbances and measurement noises is carried out. The theoretical results are illustrated by numerical examples that consider both noisy and noise-free measurements and a comparison with a high-gain observer is included.
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Automatica, Elsevier, 2018, 87, pp.52 - 60. 〈10.1016/j.automatica.2017.09.007〉
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Francisco Lopez-Ramirez, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Finite-Time and Fixed-Time Observer Design: Implicit Lyapunov Function Approach. Automatica, Elsevier, 2018, 87, pp.52 - 60. 〈10.1016/j.automatica.2017.09.007〉. 〈hal-01622356〉

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