<abstract xmlns="http://www.w3.org/1999/xhtml">The residual vibrations in flexible structure system model can cause errors. In addition, the parameters in the system are also changed. For the problem of residual vibration, robust H∞ filter is designed for neutral systems with multi-delay. Based on Lyapunov stability theory, the sufficient condition for the existence of filter is given. For the permitted uncertainty and multi-delay, the designed filter can guarantee the robust asymptotically stability and satisfy H∞ performance index for the filtering error dynamic system. Finally, the designed filter is applied to the flexible system, and the result shows that the filter is effective.</abstract>

The residual vibrations in flexible structure system model can cause errors. In addition, the parameters in the system are also changed. For the problem of residual vibration, robust H∞ filter is designed for neutral systems with multi-delay. Based on Lyapunov stability theory, the sufficient condition for the existence of filter is given. For the permitted uncertainty and multi-delay, the designed filter can guarantee the robust asymptotically stability and satisfy H∞ performance index for the filtering error dynamic system. Finally, the designed filter is applied to the flexible system, and the result shows that the filter is effective.

Robust <italic>H</italic>∞ Filtering for Neutral Systems with Multi-Delay and Application in the Flexible System

Beijing Information Science and Technology University

Cybernetics and Information Technologies

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

Robust  Filtering for Neutral Systems with Multi-Delay and Application in the Flexible System

The residual vibrations in flexible structure system model can cause errors. In addition, the parameters in the system are also changed. For the problem of...

Robust H_∞ Filtering for Neutral Systems with Multi-Delay and Application in the Flexible System

Published Online: Dec 14, 2018

Page range: 120 - 130

Received: Oct 11, 2018

Accepted: Nov 21, 2018

DOI: https://doi.org/10.2478/cait-2018-0052

Keywords
Neutral systems, robust H filtering, linear matrix inequality, flexible system

© 2018 Xingjian Fu et al., published by Sciendo

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

Robust H∞ Filtering for Neutral Systems with Multi-Delay and Application in the Flexible System

Published Online: Dec 14, 2018

Page range: 120 - 130

Received: Oct 11, 2018

Accepted: Nov 21, 2018

DOI: https://doi.org/10.2478/cait-2018-0052

KeywordsNeutral systems, robust H filtering, linear matrix inequality, flexible system

© 2018 Xingjian Fu et al., published by Sciendo

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

Robust H_∞ Filtering for Neutral Systems with Multi-Delay and Application in the Flexible System

Keywords
Neutral systems, robust H filtering, linear matrix inequality, flexible system