Discrete-Time 2-Order Sliding Mode Fault-Tolerant Tracking Control for Non-Gaussian Nonlinear Stochastic Distribution Control Systems with Missing Measurements
In this paper, a method of fault diagnosis (FD) and fault-tolerant tracking control (FTTC) is investigated for non-Gaussian nonlinear stochastic distribution control (SDC) systems with missing measurements. The phenomenon of the randomly occurring missing measurements is described as a Bernoulli pro...
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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/10.1155/2020/9704861 |
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| _version_ | 1849434989876215808 |
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| author | Lifan Li Lina Yao |
| author_facet | Lifan Li Lina Yao |
| author_sort | Lifan Li |
| collection | DOAJ |
| description | In this paper, a method of fault diagnosis (FD) and fault-tolerant tracking control (FTTC) is investigated for non-Gaussian nonlinear stochastic distribution control (SDC) systems with missing measurements. The phenomenon of the randomly occurring missing measurements is described as a Bernoulli process. The missing measurements during transmission are compensated with the data successfully transmitted at the previous moment. The residual signal of the fault diagnosis observer is different from that of the general system. Using the integral of the error of the output probability density function (PDF) as the driving information, the system state and fault can be estimated by an adaptive fault diagnosis observer. Then, a novel fault-tolerant tracking controller is designed based on a discrete-time 2-order sliding mode to make the post-fault PDF still track the target. Two simulated examples are included to illustrate the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-e459961b35644a1aa9184e5320b9233d |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e459961b35644a1aa9184e5320b9233d2025-08-20T03:26:26ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/97048619704861Discrete-Time 2-Order Sliding Mode Fault-Tolerant Tracking Control for Non-Gaussian Nonlinear Stochastic Distribution Control Systems with Missing MeasurementsLifan Li0Lina Yao1School of Electrical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, ChinaSchool of Electrical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, ChinaIn this paper, a method of fault diagnosis (FD) and fault-tolerant tracking control (FTTC) is investigated for non-Gaussian nonlinear stochastic distribution control (SDC) systems with missing measurements. The phenomenon of the randomly occurring missing measurements is described as a Bernoulli process. The missing measurements during transmission are compensated with the data successfully transmitted at the previous moment. The residual signal of the fault diagnosis observer is different from that of the general system. Using the integral of the error of the output probability density function (PDF) as the driving information, the system state and fault can be estimated by an adaptive fault diagnosis observer. Then, a novel fault-tolerant tracking controller is designed based on a discrete-time 2-order sliding mode to make the post-fault PDF still track the target. Two simulated examples are included to illustrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2020/9704861 |
| spellingShingle | Lifan Li Lina Yao Discrete-Time 2-Order Sliding Mode Fault-Tolerant Tracking Control for Non-Gaussian Nonlinear Stochastic Distribution Control Systems with Missing Measurements Complexity |
| title | Discrete-Time 2-Order Sliding Mode Fault-Tolerant Tracking Control for Non-Gaussian Nonlinear Stochastic Distribution Control Systems with Missing Measurements |
| title_full | Discrete-Time 2-Order Sliding Mode Fault-Tolerant Tracking Control for Non-Gaussian Nonlinear Stochastic Distribution Control Systems with Missing Measurements |
| title_fullStr | Discrete-Time 2-Order Sliding Mode Fault-Tolerant Tracking Control for Non-Gaussian Nonlinear Stochastic Distribution Control Systems with Missing Measurements |
| title_full_unstemmed | Discrete-Time 2-Order Sliding Mode Fault-Tolerant Tracking Control for Non-Gaussian Nonlinear Stochastic Distribution Control Systems with Missing Measurements |
| title_short | Discrete-Time 2-Order Sliding Mode Fault-Tolerant Tracking Control for Non-Gaussian Nonlinear Stochastic Distribution Control Systems with Missing Measurements |
| title_sort | discrete time 2 order sliding mode fault tolerant tracking control for non gaussian nonlinear stochastic distribution control systems with missing measurements |
| url | http://dx.doi.org/10.1155/2020/9704861 |
| work_keys_str_mv | AT lifanli discretetime2orderslidingmodefaulttoleranttrackingcontrolfornongaussiannonlinearstochasticdistributioncontrolsystemswithmissingmeasurements AT linayao discretetime2orderslidingmodefaulttoleranttrackingcontrolfornongaussiannonlinearstochasticdistributioncontrolsystemswithmissingmeasurements |