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Paper details
Number 4 - December 2015
Volume 25 - 2015
Observability and controllability analysis for sandwich systems with backlash
Na Luo, Yonghong Tan, Ruili Dong
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.
Keywords
backlash, sandwich systems, non-smooth systems, state-space equations, observability, controllability