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Finite time convergent observers for nonlinear systems
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004In this note we consider the state estimation problem for nonlinear systems. In a first step we outline the design of an observer for single output nonlinear systems in observer normal form. The estimate of this observer converges to the exact system state within predefined finite time.
Patrick Menold +2 more
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Finite time observers and observability
29th IEEE Conference on Decision and Control, 1990A notion of finite time observer for partially observed deterministic control systems is introduced. The observer dynamics are given by a Hamilton-Jacobi equation, and the observer is consistent under a natural observability condition. An observability grammian for nonlinear systems is introduced, and is used to study the time evolution of sets of ...
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A continuous-time observer which converges in finite time
IEEE Transactions on Automatic Control, 2002It is shown that a continuous-time observer, which comprises two standard nth order observers and a delay D, can observe the state of an nth order linear system in finite time D exactly. In particular, (almost) any convergence time D can be assigned, independent of the observer eigenvalues.
Robert Engel, Gerhard Kreisselmeier
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Robust finite time observer design for multicellular converters
International Journal of Systems Science, 2011In this article, a nonlinear finite time observer is designed for multicellular converters. The aim is to estimate the capacitor voltages by taking into account the hybrid behaviour of the converter. This article extends the validity of the strong Lyapunov function, proposed in Moreno and Osorio (Moreno, J., and Osorio, M.
Defoort, Michael +3 more
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A Finite-Time Stable Observer for Relative Attitude Estimation
2019 IEEE 58th Conference on Decision and Control (CDC), 2019Relative motion estimation of one rigid body with respect to another is a problem that has immediate applications to formations and maneuvers involving multiple unmanned vehicles or collision avoidance between vehicles. A finite-time stable observer for relative attitude estimation of a rigid object using onboard sensors on an unmanned vehicle, is ...
Ningshan Wang +2 more
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Multivalued finite-time observers for a class of nonlinear systems
2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017We consider a class of nonlinear systems which are not observable, and can have a finite number of indistinguishable trajectories. In general, this implies that a single-valued observer does not exist. In this paper we propose the construction of a multivalued observer, which is able to estimate the full set of indistinguishable trajectories. Moreover,
Jaime A. Moreno, Gildas Besançon
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Finite-time observer for nonlinear dynamic systems
1973 IEEE Conference on Decision and Control including the 12th Symposium on Adaptive Processes, 1973This paper introduces finite-time observers for a class of non-linear dynamic systems. The concept of observability is first shown to be a necessary condition for the existence of a finite-time observer for the system. Then a finite-time observer for an important class of systems is constructed with a novel structure which avoids the use of ...
S. Kou, T. Tarn, D. Elliott
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An Adaptive Finite Time Sliding Mode Observer [PDF]
, 2017 This chapter develops a novel adaptive ?nite time observer which can achieve ?nite time unmatched parameter estimation and ?nite time system state observation. The proposed approach has strong robustness and rapid convergence. A step by step proof is given which employs ?nite time stability and sliding mode principles.
Zhao, Dongya +2 more
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Robust Continuous Finite-Time Tracking Control with Finite-Time Observer for a Stewart Platform
2022 IEEE 17th International Conference on Advanced Motion Control (AMC), 2022Nithin Xavier +3 more
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Global finite-time observers for a class of nonlinear systems
Kybernetika, 2013Summary: Global finite-time observers are designed for a class of nonlinear systems with bounded varying rational powers imposed on the increments of the nonlinearities whose solutions exist and are unique for all positive time. The global finite-time observers designed in this paper have two homogeneous terms. The global finite-time convergence of the
Li, Yunyan, Shen, Yanjun, Xia, Xiaohua
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