<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.</p></abstract>

Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.

Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is...

Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

Published Online: Mar 31, 2018

Page range: 111 - 122

Received: Jan 26, 2017

Accepted: Aug 09, 2017

DOI: https://doi.org/10.2478/amcs-2018-0008

Keywords
robust stabilization, sampled-data, time-delay systems, input saturation, admissible initial conditions, LMI

© by Fernando Tadeo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

Published Online: Mar 31, 2018

Page range: 111 - 122

Received: Jan 26, 2017

Accepted: Aug 09, 2017

DOI: https://doi.org/10.2478/amcs-2018-0008

Keywordsrobust stabilization, sampled-data, time-delay systems, input saturation, admissible initial conditions, LMI

© by Fernando Tadeo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
robust stabilization, sampled-data, time-delay systems, input saturation, admissible initial conditions, LMI