Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems
Abstract This paper is concerned with output stabilisation for a class of discrete‐time quasi‐one‐sided Lipschitz nonlinear systems. Firstly, an observer is designed for estimating the state of the systems in terms of quasi‐one‐sided Lipschitz condition and quadratic inner‐boundness condition. Then,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12043 |
| _version_ | 1797901456209084416 |
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| author | Wenqiang Dong Guang‐Da Hu Yuhao Cong |
| author_facet | Wenqiang Dong Guang‐Da Hu Yuhao Cong |
| author_sort | Wenqiang Dong |
| collection | DOAJ |
| description | Abstract This paper is concerned with output stabilisation for a class of discrete‐time quasi‐one‐sided Lipschitz nonlinear systems. Firstly, an observer is designed for estimating the state of the systems in terms of quasi‐one‐sided Lipschitz condition and quadratic inner‐boundness condition. Then, a state feedback controller is proposed to stabilize the systems. Subsequently, it is shown that the separation principle holds for stabilisation of the discrete‐time nonlinear systems based on the observer‐based controller. Under the quasi‐one‐sided Lipschitz condition, the state observer and feedback controller can be designed separately, even though the parameter (A,B) of discrete‐time systems is not stabilisable and parameter (A,C) is not detectable. Finally, two numerical examples are given to indicate the feasibility of the main results. |
| first_indexed | 2024-04-10T09:02:21Z |
| format | Article |
| id | doaj.art-8f594dbe91bc4c83b463fee708e912e3 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-04-10T09:02:21Z |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-8f594dbe91bc4c83b463fee708e912e32023-02-21T10:41:21ZengWileyIET Control Theory & Applications1751-86441751-86522021-01-0115113614710.1049/cth2.12043Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systemsWenqiang Dong0Guang‐Da Hu1Yuhao Cong2Department of Mathematics Shanghai University Shanghai ChinaDepartment of Mathematics Shanghai University Shanghai ChinaDepartment of Mathematics Shanghai University Shanghai ChinaAbstract This paper is concerned with output stabilisation for a class of discrete‐time quasi‐one‐sided Lipschitz nonlinear systems. Firstly, an observer is designed for estimating the state of the systems in terms of quasi‐one‐sided Lipschitz condition and quadratic inner‐boundness condition. Then, a state feedback controller is proposed to stabilize the systems. Subsequently, it is shown that the separation principle holds for stabilisation of the discrete‐time nonlinear systems based on the observer‐based controller. Under the quasi‐one‐sided Lipschitz condition, the state observer and feedback controller can be designed separately, even though the parameter (A,B) of discrete‐time systems is not stabilisable and parameter (A,C) is not detectable. Finally, two numerical examples are given to indicate the feasibility of the main results.https://doi.org/10.1049/cth2.12043Simulation, modelling and identificationAlgebraControl system analysis and synthesis methodsStability in control theoryOptimal controlDiscrete control systems |
| spellingShingle | Wenqiang Dong Guang‐Da Hu Yuhao Cong Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems IET Control Theory & Applications Simulation, modelling and identification Algebra Control system analysis and synthesis methods Stability in control theory Optimal control Discrete control systems |
| title | Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems |
| title_full | Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems |
| title_fullStr | Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems |
| title_full_unstemmed | Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems |
| title_short | Separation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems |
| title_sort | separation principle for discrete time quasi one sided lipschitz nonlinear systems |
| topic | Simulation, modelling and identification Algebra Control system analysis and synthesis methods Stability in control theory Optimal control Discrete control systems |
| url | https://doi.org/10.1049/cth2.12043 |
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