Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients
This paper mainly focuses on the output practical tracking controller design for a class of complex stochastic nonlinear systems with unknown control coefficients. In the existing research results, most of the complex systems are controlled in a certain direction, which leads to the disconnection be...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1502065 |
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| _version_ | 1832553721157910528 |
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| author | Long-Chuan Guo Xiang-Kun Fang |
| author_facet | Long-Chuan Guo Xiang-Kun Fang |
| author_sort | Long-Chuan Guo |
| collection | DOAJ |
| description | This paper mainly focuses on the output practical tracking controller design for a class of complex stochastic nonlinear systems with unknown control coefficients. In the existing research results, most of the complex systems are controlled in a certain direction, which leads to the disconnection between theoretical results and practical applications. The authors introduce unknown control coefficients, and the values of the upper and lower bounds of the control coefficients are generalized by constants to allow arbitrary values to be arbitrarily large or arbitrarily small. In the control design program, the design problem of the controller is transformed into a parameter construction problem by introducing appropriate coordinate transformation. Moreover, we construct an output feedback practical tracking controller based on the dynamic and static phase combined by Ito stochastic differential theory and selection of appropriate design parameters, ensuring that the system tracking error can be made arbitrarily small after some large enough time. Finally, a simulation example is provided to illustrate the efficiency of the theoretical results. |
| format | Article |
| id | doaj-art-fab1ea11c2f04663bf1b8695747763c9 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-fab1ea11c2f04663bf1b8695747763c92025-02-03T05:53:25ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/15020651502065Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control CoefficientsLong-Chuan Guo0Xiang-Kun Fang1School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, ChinaBeijing Shougang International Engineering Technology Co. Ltd., Beijing 100043, ChinaThis paper mainly focuses on the output practical tracking controller design for a class of complex stochastic nonlinear systems with unknown control coefficients. In the existing research results, most of the complex systems are controlled in a certain direction, which leads to the disconnection between theoretical results and practical applications. The authors introduce unknown control coefficients, and the values of the upper and lower bounds of the control coefficients are generalized by constants to allow arbitrary values to be arbitrarily large or arbitrarily small. In the control design program, the design problem of the controller is transformed into a parameter construction problem by introducing appropriate coordinate transformation. Moreover, we construct an output feedback practical tracking controller based on the dynamic and static phase combined by Ito stochastic differential theory and selection of appropriate design parameters, ensuring that the system tracking error can be made arbitrarily small after some large enough time. Finally, a simulation example is provided to illustrate the efficiency of the theoretical results.http://dx.doi.org/10.1155/2020/1502065 |
| spellingShingle | Long-Chuan Guo Xiang-Kun Fang Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients Complexity |
| title | Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients |
| title_full | Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients |
| title_fullStr | Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients |
| title_full_unstemmed | Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients |
| title_short | Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients |
| title_sort | bounded analysis and practical tracking control of complex stochastic nonlinear systems with unknown control coefficients |
| url | http://dx.doi.org/10.1155/2020/1502065 |
| work_keys_str_mv | AT longchuanguo boundedanalysisandpracticaltrackingcontrolofcomplexstochasticnonlinearsystemswithunknowncontrolcoefficients AT xiangkunfang boundedanalysisandpracticaltrackingcontrolofcomplexstochasticnonlinearsystemswithunknowncontrolcoefficients |