Observer design for systems with unknown inputs

Stefen Hui; Stanisław Żak

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 4, page 431-446
  • ISSN: 1641-876X

Abstract

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Design procedures are proposed for two different classes of observers for systems with unknown inputs. In the first approach, the state of the observed system is decomposed into known and unknown components. The unknown component is a projection, not necessarily orthogonal, of the whole state along the subspace in which the available state component resides. Then, a dynamical system to estimate the unknown component is constructed. Combining the output of the dynamical system, which estimates the unknown state component, with the available state information results in an observer that estimates the whole state. It is shown that some previously proposed observer architectures can be obtained using the projection operator approach presented in this paper. The second approach combines sliding modes and the second method of Lyapunov resulting in a nonlinear observer. The nonlinear component of the sliding mode observer forces the observation error into the sliding mode along a manifold in the observation error space. Design algorithms are given for both types of observers.

How to cite

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Hui, Stefen, and Żak, Stanisław. "Observer design for systems with unknown inputs." International Journal of Applied Mathematics and Computer Science 15.4 (2005): 431-446. <http://eudml.org/doc/207755>.

@article{Hui2005,
abstract = {Design procedures are proposed for two different classes of observers for systems with unknown inputs. In the first approach, the state of the observed system is decomposed into known and unknown components. The unknown component is a projection, not necessarily orthogonal, of the whole state along the subspace in which the available state component resides. Then, a dynamical system to estimate the unknown component is constructed. Combining the output of the dynamical system, which estimates the unknown state component, with the available state information results in an observer that estimates the whole state. It is shown that some previously proposed observer architectures can be obtained using the projection operator approach presented in this paper. The second approach combines sliding modes and the second method of Lyapunov resulting in a nonlinear observer. The nonlinear component of the sliding mode observer forces the observation error into the sliding mode along a manifold in the observation error space. Design algorithms are given for both types of observers.},
author = {Hui, Stefen, Żak, Stanisław},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {uncertain systems; unknown input observer (UIO); state observation; second method of Lyapunov; projection operators},
language = {eng},
number = {4},
pages = {431-446},
title = {Observer design for systems with unknown inputs},
url = {http://eudml.org/doc/207755},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Hui, Stefen
AU - Żak, Stanisław
TI - Observer design for systems with unknown inputs
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 4
SP - 431
EP - 446
AB - Design procedures are proposed for two different classes of observers for systems with unknown inputs. In the first approach, the state of the observed system is decomposed into known and unknown components. The unknown component is a projection, not necessarily orthogonal, of the whole state along the subspace in which the available state component resides. Then, a dynamical system to estimate the unknown component is constructed. Combining the output of the dynamical system, which estimates the unknown state component, with the available state information results in an observer that estimates the whole state. It is shown that some previously proposed observer architectures can be obtained using the projection operator approach presented in this paper. The second approach combines sliding modes and the second method of Lyapunov resulting in a nonlinear observer. The nonlinear component of the sliding mode observer forces the observation error into the sliding mode along a manifold in the observation error space. Design algorithms are given for both types of observers.
LA - eng
KW - uncertain systems; unknown input observer (UIO); state observation; second method of Lyapunov; projection operators
UR - http://eudml.org/doc/207755
ER -

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