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Recursive identification algorithm for dynamic systems with output backlash and its convergence

100%
Dong R., Tan Q., Tan Y.
International Journal of Applied Mathematics and Computer Science
|
2009
|
tom 19
|
nr 4
631-638
EN
This paper proposes a recursive identification method for systems with output backlash that can be described by a pseudoWiener model. In this method, a novel description of the nonlinear part of the system, i.e., backlash, is developed. In this case, the nonlinear system is decomposed into a piecewise linearized model. Then, a modified recursive general identification algorithm (MRGIA) is employed to estimate the parameters of the proposed model. Furthermore, the convergence of the MRGIA for the pseudo-Wiener system with backlash is analysed. Finally, a numerical example is presented.
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Observability and controllability analysis for sandwich systems with backlash

75%
Luo N., Tan Y., Dong R.
International Journal of Applied Mathematics and Computer Science
|
2015
|
tom 25
|
nr 4
803-814
EN
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.
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