Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays
This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a st...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/7051658 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548498079219712 |
|---|---|
| author | Xiangyang Cao Leipo Liu Zhumu Fu Xiaona Song Shuzhong Song |
| author_facet | Xiangyang Cao Leipo Liu Zhumu Fu Xiaona Song Shuzhong Song |
| author_sort | Xiangyang Cao |
| collection | DOAJ |
| description | This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness. Such conditions can be easily solved by linear programming. Finally, an example is given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-e342f74e244c44efa36bef96b84661f6 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-e342f74e244c44efa36bef96b84661f62025-02-03T06:13:54ZengWileyJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/70516587051658Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying DelaysXiangyang Cao0Leipo Liu1Zhumu Fu2Xiaona Song3Shuzhong Song4College of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaThis paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness. Such conditions can be easily solved by linear programming. Finally, an example is given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2017/7051658 |
| spellingShingle | Xiangyang Cao Leipo Liu Zhumu Fu Xiaona Song Shuzhong Song Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays Journal of Control Science and Engineering |
| title | Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays |
| title_full | Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays |
| title_fullStr | Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays |
| title_full_unstemmed | Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays |
| title_short | Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays |
| title_sort | guaranteed cost finite time control for positive switched linear systems with time varying delays |
| url | http://dx.doi.org/10.1155/2017/7051658 |
| work_keys_str_mv | AT xiangyangcao guaranteedcostfinitetimecontrolforpositiveswitchedlinearsystemswithtimevaryingdelays AT leipoliu guaranteedcostfinitetimecontrolforpositiveswitchedlinearsystemswithtimevaryingdelays AT zhumufu guaranteedcostfinitetimecontrolforpositiveswitchedlinearsystemswithtimevaryingdelays AT xiaonasong guaranteedcostfinitetimecontrolforpositiveswitchedlinearsystemswithtimevaryingdelays AT shuzhongsong guaranteedcostfinitetimecontrolforpositiveswitchedlinearsystemswithtimevaryingdelays |