New Results on Robust Model Predictive Control for Time-Delay Systems with Input Constraints
This paper investigates the problem of model predictive control for a class of nonlinear systems subject to state delays and input constraints. The time-varying delay is considered with both upper and lower bounds. A new model is proposed to approximate the delay. And the uncertainty is polytopic ty...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/528926 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849407407759818752 |
|---|---|
| author | Qing Lu Yiyong Sun Qi Zhou Zhiguang Feng |
| author_facet | Qing Lu Yiyong Sun Qi Zhou Zhiguang Feng |
| author_sort | Qing Lu |
| collection | DOAJ |
| description | This paper investigates the problem of model predictive control for a class of nonlinear systems subject to state delays and input constraints. The time-varying delay is considered with both upper and lower bounds. A new model is proposed to approximate the delay. And the uncertainty is polytopic type. For the state-feedback MPC design objective, we formulate an optimization problem. Under model transformation, a new model predictive controller is designed such that the robust asymptotical stability of the closed-loop system can be guaranteed. Finally, the applicability of the presented results are demonstrated by a practical example. |
| format | Article |
| id | doaj-art-43dd9ecb32b04dc5ba4b359463d9cdba |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-43dd9ecb32b04dc5ba4b359463d9cdba2025-08-20T03:36:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/528926528926New Results on Robust Model Predictive Control for Time-Delay Systems with Input ConstraintsQing Lu0Yiyong Sun1Qi Zhou2Zhiguang Feng3College of Engineering, Bohai University, Jinzhou, Liaoning 121013, ChinaResearch Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, Heilongjiang 150080, ChinaCollege of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121013, ChinaCollege of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121013, ChinaThis paper investigates the problem of model predictive control for a class of nonlinear systems subject to state delays and input constraints. The time-varying delay is considered with both upper and lower bounds. A new model is proposed to approximate the delay. And the uncertainty is polytopic type. For the state-feedback MPC design objective, we formulate an optimization problem. Under model transformation, a new model predictive controller is designed such that the robust asymptotical stability of the closed-loop system can be guaranteed. Finally, the applicability of the presented results are demonstrated by a practical example.http://dx.doi.org/10.1155/2014/528926 |
| spellingShingle | Qing Lu Yiyong Sun Qi Zhou Zhiguang Feng New Results on Robust Model Predictive Control for Time-Delay Systems with Input Constraints Journal of Applied Mathematics |
| title | New Results on Robust Model Predictive Control for Time-Delay Systems with Input Constraints |
| title_full | New Results on Robust Model Predictive Control for Time-Delay Systems with Input Constraints |
| title_fullStr | New Results on Robust Model Predictive Control for Time-Delay Systems with Input Constraints |
| title_full_unstemmed | New Results on Robust Model Predictive Control for Time-Delay Systems with Input Constraints |
| title_short | New Results on Robust Model Predictive Control for Time-Delay Systems with Input Constraints |
| title_sort | new results on robust model predictive control for time delay systems with input constraints |
| url | http://dx.doi.org/10.1155/2014/528926 |
| work_keys_str_mv | AT qinglu newresultsonrobustmodelpredictivecontrolfortimedelaysystemswithinputconstraints AT yiyongsun newresultsonrobustmodelpredictivecontrolfortimedelaysystemswithinputconstraints AT qizhou newresultsonrobustmodelpredictivecontrolfortimedelaysystemswithinputconstraints AT zhiguangfeng newresultsonrobustmodelpredictivecontrolfortimedelaysystemswithinputconstraints |