Observability and controllability analysis for sandwich systems with backlash

Na Luo; Yonghong Tan; Ruili Dong

International Journal of Applied Mathematics and Computer Science (2015)

  • Volume: 25, Issue: 4, page 803-814
  • ISSN: 1641-876X

Abstract

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In this paper, an approach to analyze the observability and controllability of sandwich systems with backlash is proposed. In this method, a non-smooth state-space function is used to describe the sandwich systems with backlash which are also non-smooth non-linear systems. Then, a linearization method based on non-smooth optimization is proposed to derive a linearized state-space function to approximate the non-smooth sandwich systems within a bounded region around the equilibrium point that we are interested in. Afterwards, both observability and controllability matrices are constructed and the methods to analyze the observability as well as controllability of sandwich system with backlash are derived. Finally, numerical examples are presented to validate the proposed method.

How to cite

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Na Luo, Yonghong Tan, and Ruili Dong. "Observability and controllability analysis for sandwich systems with backlash." International Journal of Applied Mathematics and Computer Science 25.4 (2015): 803-814. <http://eudml.org/doc/276009>.

@article{NaLuo2015,
abstract = {In this paper, an approach to analyze the observability and controllability of sandwich systems with backlash is proposed. In this method, a non-smooth state-space function is used to describe the sandwich systems with backlash which are also non-smooth non-linear systems. Then, a linearization method based on non-smooth optimization is proposed to derive a linearized state-space function to approximate the non-smooth sandwich systems within a bounded region around the equilibrium point that we are interested in. Afterwards, both observability and controllability matrices are constructed and the methods to analyze the observability as well as controllability of sandwich system with backlash are derived. Finally, numerical examples are presented to validate the proposed method.},
author = {Na Luo, Yonghong Tan, Ruili Dong},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {backlash; sandwich systems; non-smooth systems; state-space equations; observability; controllability},
language = {eng},
number = {4},
pages = {803-814},
title = {Observability and controllability analysis for sandwich systems with backlash},
url = {http://eudml.org/doc/276009},
volume = {25},
year = {2015},
}

TY - JOUR
AU - Na Luo
AU - Yonghong Tan
AU - Ruili Dong
TI - Observability and controllability analysis for sandwich systems with backlash
JO - International Journal of Applied Mathematics and Computer Science
PY - 2015
VL - 25
IS - 4
SP - 803
EP - 814
AB - In this paper, an approach to analyze the observability and controllability of sandwich systems with backlash is proposed. In this method, a non-smooth state-space function is used to describe the sandwich systems with backlash which are also non-smooth non-linear systems. Then, a linearization method based on non-smooth optimization is proposed to derive a linearized state-space function to approximate the non-smooth sandwich systems within a bounded region around the equilibrium point that we are interested in. Afterwards, both observability and controllability matrices are constructed and the methods to analyze the observability as well as controllability of sandwich system with backlash are derived. Finally, numerical examples are presented to validate the proposed method.
LA - eng
KW - backlash; sandwich systems; non-smooth systems; state-space equations; observability; controllability
UR - http://eudml.org/doc/276009
ER -

References

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