Sliding mode control for N‐coupled reaction‐diffusion PDEs with boundary input disturbances
Summary This paper develops the sliding mode control (SMC) design for N‐coupled reaction‐diffusion parabolic PDEs with boundary input disturbances. In order to reject the disturbances, the backstepping‐based boundary SMC law is constructed to steer the system trajectory to a suitable sliding surface...
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| Published in | International journal of robust and nonlinear control Vol. 29; no. 5; pp. 1437 - 1461 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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Bognor Regis
Wiley Subscription Services, Inc
25.03.2019
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| Abstract | Summary
This paper develops the sliding mode control (SMC) design for N‐coupled reaction‐diffusion parabolic PDEs with boundary input disturbances. In order to reject the disturbances, the backstepping‐based boundary SMC law is constructed to steer the system trajectory to a suitable sliding surface and then maintain sliding motion on the surface thereafter, resulting in the exponential convergence to the zero equilibrium state. The well‐posedness of the closed‐loop system is established based on a detailed spectral analysis and Riesz basis generation. Finally, a simulation example is provided to illustrate the effectiveness of the SMC design. |
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| AbstractList | This paper develops the sliding mode control (SMC) design for N‐coupled reaction‐diffusion parabolic PDEs with boundary input disturbances. In order to reject the disturbances, the backstepping‐based boundary SMC law is constructed to steer the system trajectory to a suitable sliding surface and then maintain sliding motion on the surface thereafter, resulting in the exponential convergence to the zero equilibrium state. The well‐posedness of the closed‐loop system is established based on a detailed spectral analysis and Riesz basis generation. Finally, a simulation example is provided to illustrate the effectiveness of the SMC design. This paper develops the sliding mode control (SMC) design for N ‐coupled reaction‐diffusion parabolic PDEs with boundary input disturbances. In order to reject the disturbances, the backstepping‐based boundary SMC law is constructed to steer the system trajectory to a suitable sliding surface and then maintain sliding motion on the surface thereafter, resulting in the exponential convergence to the zero equilibrium state. The well‐posedness of the closed‐loop system is established based on a detailed spectral analysis and Riesz basis generation. Finally, a simulation example is provided to illustrate the effectiveness of the SMC design. Summary This paper develops the sliding mode control (SMC) design for N‐coupled reaction‐diffusion parabolic PDEs with boundary input disturbances. In order to reject the disturbances, the backstepping‐based boundary SMC law is constructed to steer the system trajectory to a suitable sliding surface and then maintain sliding motion on the surface thereafter, resulting in the exponential convergence to the zero equilibrium state. The well‐posedness of the closed‐loop system is established based on a detailed spectral analysis and Riesz basis generation. Finally, a simulation example is provided to illustrate the effectiveness of the SMC design. |
| Author | Gu, Jian‐Jun Wang, Jun‐Min |
| Author_xml | – sequence: 1 givenname: Jian‐Jun surname: Gu fullname: Gu, Jian‐Jun organization: Changshu Institute of Technology – sequence: 2 givenname: Jun‐Min orcidid: 0000-0002-7482-9386 surname: Wang fullname: Wang, Jun‐Min email: jmwang@bit.edu.cn organization: Beijing Institute of Technology |
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This paper develops the sliding mode control (SMC) design for N‐coupled reaction‐diffusion parabolic PDEs with boundary input disturbances. In order to... This paper develops the sliding mode control (SMC) design for N ‐coupled reaction‐diffusion parabolic PDEs with boundary input disturbances. In order to reject... This paper develops the sliding mode control (SMC) design for N‐coupled reaction‐diffusion parabolic PDEs with boundary input disturbances. In order to reject... |
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| SubjectTerms | backstepping Coupled modes disturbance rejection Disturbances N‐coupled reaction‐diffusion PDEs Parabolic differential equations Riesz basis Sliding mode control |
| Title | Sliding mode control for N‐coupled reaction‐diffusion PDEs with boundary input disturbances |
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