Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control
This paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed systems can be stabilized under a small value...
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| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/14/1664 |
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doaj-cc9c523a9e184879b7c50a451e3a18792021-07-23T13:52:32ZengMDPI AGMathematics2227-73902021-07-0191664166410.3390/math9141664Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite ControlChun-Tang Chao0Ding-Horng Chen1Juing-Shian Chiou2Department of Electrical Engineering, Southern Taiwan University of Science and Technology, 1, Nan-Tai St., Yongkang District, Tainan 71005, TaiwanDepartment of Computer Science and Information Engineering, Southern Taiwan University of Science and Technology, Tainan 71005, TaiwanDepartment of Electrical Engineering, Southern Taiwan University of Science and Technology, 1, Nan-Tai St., Yongkang District, Tainan 71005, TaiwanThis paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed systems can be stabilized under a small value of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>. The switching rule is designed on the basis of state transformation of the individual subsystems.https://www.mdpi.com/2227-7390/9/14/1664singularly perturbed systemsswitched systemsLyapunov functionsswitched laws |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chun-Tang Chao Ding-Horng Chen Juing-Shian Chiou |
| spellingShingle |
Chun-Tang Chao Ding-Horng Chen Juing-Shian Chiou Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control Mathematics singularly perturbed systems switched systems Lyapunov functions switched laws |
| author_facet |
Chun-Tang Chao Ding-Horng Chen Juing-Shian Chiou |
| author_sort |
Chun-Tang Chao |
| title |
Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control |
| title_short |
Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control |
| title_full |
Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control |
| title_fullStr |
Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control |
| title_full_unstemmed |
Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control |
| title_sort |
stabilization and the design of switching laws of a class of switched singularly perturbed systems via the composite control |
| publisher |
MDPI AG |
| series |
Mathematics |
| issn |
2227-7390 |
| publishDate |
2021-07-01 |
| description |
This paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed systems can be stabilized under a small value of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula>. The switching rule is designed on the basis of state transformation of the individual subsystems. |
| topic |
singularly perturbed systems switched systems Lyapunov functions switched laws |
| url |
https://www.mdpi.com/2227-7390/9/14/1664 |
| work_keys_str_mv |
AT chuntangchao stabilizationandthedesignofswitchinglawsofaclassofswitchedsingularlyperturbedsystemsviathecompositecontrol AT dinghorngchen stabilizationandthedesignofswitchinglawsofaclassofswitchedsingularlyperturbedsystemsviathecompositecontrol AT juingshianchiou stabilizationandthedesignofswitchinglawsofaclassofswitchedsingularlyperturbedsystemsviathecompositecontrol |
| _version_ |
1721287276768526336 |