Multi-rate sampled-data control of switched affine systems
- Author(s): Feiyue Wu 1 ; Xuehao Qu 2 ; Chunyang Li 1 ; Jie Lian 1 ; Lingli Xu 1
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View affiliations
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Affiliations:
1:
School of Control Science and Engineering , Dalian University of Technology , Dalian 116024 , People's Republic of China ;
2: School of Telecommunication Engineering , Xidian University , Xi'an 710071 , People's Republic of China
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Affiliations:
1:
School of Control Science and Engineering , Dalian University of Technology , Dalian 116024 , People's Republic of China ;
- Source:
Volume 14, Issue 11,
23
July
2020,
p.
1524 – 1530
DOI: 10.1049/iet-cta.2019.0446 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study considers the practical stabilisation of switched affine systems under the multi-rate sampled-data switching control. In order to depict the sampled value of all state components, a sensing block composed of several sensors with asynchronous uncertain non-uniform sampling intervals is applied. On the basis of the sampled-data value, a new class of functionals is developed, which is composed of a Lyapunov–Krasovskii functional and a looped function. Practical stabilisation conditions are presented for the switched affine system by means of a switching law. Two examples are provided to demonstrate the effectiveness and feasibility of the proposed results.
Inspec keywords: linear matrix inequalities; control system synthesis; continuous time systems; nonlinear control systems; uncertain systems; Lyapunov methods; delays; time-varying systems; sampling methods; stability; sampled data systems
Other keywords: sampled value; asynchronous uncertain nonuniform sampling intervals; sampled-data value; switching law; multirate sampled-data control; sampled-data switching control; practical stabilisation conditions; switched affine system
Subjects: Stability in control theory; Control system analysis and synthesis methods; Algebra; Discrete control systems; Nonlinear control systems
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