<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Observability and Controllability Analysis for Sandwich Systems with Backlash

College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, 100 Guilin Road, Shanghai, 200234, China

School of General Education, Sanda University, 2727 Jinhai Road, Shanghai, 201209, China

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Observability and Controllability Analysis for Sandwich Systems with Backlash"}

In this paper, an approach to analyze the observability and controllability of sandwich systems with backlash is proposed. In this method, a non-smooth...

Observability and Controllability Analysis for Sandwich Systems with Backlash

Published Online: Dec 30, 2015

Page range: 803 - 814

Received: Jul 24, 2014

DOI: https://doi.org/10.1515/amcs-2015-0057

Keywords
backlash, sandwich systems, non-smooth systems, state-space equations, observability, controllability

© 2015 Na Luo et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Observability and Controllability Analysis for Sandwich Systems with Backlash

Published Online: Dec 30, 2015

Page range: 803 - 814

Received: Jul 24, 2014

DOI: https://doi.org/10.1515/amcs-2015-0057

Keywordsbacklash, sandwich systems, non-smooth systems, state-space equations, observability, controllability

© 2015 Na Luo et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
backlash, sandwich systems, non-smooth systems, state-space equations, observability, controllability