Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay
This paper investigates the problem of quantized dissipative observer-based output feedback control of Markovian descriptor jump systems with unavailable states, appearing networked-induced delay. The descriptor systems are presented as Markovian jump systems which give a more realistic presentation...
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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/10.1155/2020/6416950 |
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| _version_ | 1832563308698271744 |
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| author | Muhammad Shamrooz Aslam Xisheng Dai |
| author_facet | Muhammad Shamrooz Aslam Xisheng Dai |
| author_sort | Muhammad Shamrooz Aslam |
| collection | DOAJ |
| description | This paper investigates the problem of quantized dissipative observer-based output feedback control of Markovian descriptor jump systems with unavailable states, appearing networked-induced delay. The descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. To accomplish the objective, a uniform framework is employed to design the delayed Markov observer-based controller and event-triggered scheme. Additionally, we provided the ℋ∞ and ℒ2-ℒ∞ and dissipative performance indices which are robust against the disturbances with time-varying delays. Moreover, a novel Lyapunov–Krasovskii functional is considered to guarantee the closed loop for stochastic stability analysis of the Markovian descriptor jump system. The solvability of Lyapunov–Krasovskii functional results in the formation of linear matrix inequalities. The controller and observer gains can be obtained by solving the linear matrix inequalities. Simulations are performed to validate the proposed scheme. |
| format | Article |
| id | doaj-art-a8e2ff7ae1ef43c1bedfe567c288149b |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a8e2ff7ae1ef43c1bedfe567c288149b2025-02-03T01:20:27ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/64169506416950Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication DelayMuhammad Shamrooz Aslam0Xisheng Dai1School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, ChinaSchool of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, ChinaThis paper investigates the problem of quantized dissipative observer-based output feedback control of Markovian descriptor jump systems with unavailable states, appearing networked-induced delay. The descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. To accomplish the objective, a uniform framework is employed to design the delayed Markov observer-based controller and event-triggered scheme. Additionally, we provided the ℋ∞ and ℒ2-ℒ∞ and dissipative performance indices which are robust against the disturbances with time-varying delays. Moreover, a novel Lyapunov–Krasovskii functional is considered to guarantee the closed loop for stochastic stability analysis of the Markovian descriptor jump system. The solvability of Lyapunov–Krasovskii functional results in the formation of linear matrix inequalities. The controller and observer gains can be obtained by solving the linear matrix inequalities. Simulations are performed to validate the proposed scheme.http://dx.doi.org/10.1155/2020/6416950 |
| spellingShingle | Muhammad Shamrooz Aslam Xisheng Dai Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay Complexity |
| title | Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay |
| title_full | Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay |
| title_fullStr | Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay |
| title_full_unstemmed | Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay |
| title_short | Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay |
| title_sort | quantized dissipative observer based output feedback control for a class of markovian descriptor jump systems with communication delay |
| url | http://dx.doi.org/10.1155/2020/6416950 |
| work_keys_str_mv | AT muhammadshamroozaslam quantizeddissipativeobserverbasedoutputfeedbackcontrolforaclassofmarkoviandescriptorjumpsystemswithcommunicationdelay AT xishengdai quantizeddissipativeobserverbasedoutputfeedbackcontrolforaclassofmarkoviandescriptorjumpsystemswithcommunicationdelay |