Positiveness and Observer-Based Finite-Time Control for a Class of Markov Jump Systems with Some Complex Environment Parameters
An observer-based finite-time L2-L∞ control law is devised for a class of positive Markov jump systems in a complex environment. The complex environment parameters include bounded uncertainties, unknown nonlinearities, and external disturbances. The objective is to devise an appropriate observer-bas...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/5365493 |
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| _version_ | 1849411303826784256 |
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| author | Chengcheng Ren Shuping He |
| author_facet | Chengcheng Ren Shuping He |
| author_sort | Chengcheng Ren |
| collection | DOAJ |
| description | An observer-based finite-time L2-L∞ control law is devised for a class of positive Markov jump systems in a complex environment. The complex environment parameters include bounded uncertainties, unknown nonlinearities, and external disturbances. The objective is to devise an appropriate observer-based control law that makes the corresponding augment error dynamic Markov jump systems be positive and finite-time stabilizable and satisfy the given L2-L∞ disturbance attenuation index. A sufficient condition is initially established on the existence of the observer-based finite-time controller by using proper stochastic Lyapunov-Krasovskii functional. The design criteria are presented by means of linear matrix inequalities. Finally, the feasibility and validity of the main results can be illustrated through a numerical example. |
| format | Article |
| id | doaj-art-66fbe21ce9ef4516b4a4dbf6896e85b0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-66fbe21ce9ef4516b4a4dbf6896e85b02025-08-20T03:34:48ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/53654935365493Positiveness and Observer-Based Finite-Time Control for a Class of Markov Jump Systems with Some Complex Environment ParametersChengcheng Ren0Shuping He1Key Laboratory of Intelligent Computing & Signal Processing (Ministry of Education), School of Electrical Engineering & Automation, Anhui University, Hefei 230601, ChinaKey Laboratory of Intelligent Computing & Signal Processing (Ministry of Education), School of Electrical Engineering & Automation, Anhui University, Hefei 230601, ChinaAn observer-based finite-time L2-L∞ control law is devised for a class of positive Markov jump systems in a complex environment. The complex environment parameters include bounded uncertainties, unknown nonlinearities, and external disturbances. The objective is to devise an appropriate observer-based control law that makes the corresponding augment error dynamic Markov jump systems be positive and finite-time stabilizable and satisfy the given L2-L∞ disturbance attenuation index. A sufficient condition is initially established on the existence of the observer-based finite-time controller by using proper stochastic Lyapunov-Krasovskii functional. The design criteria are presented by means of linear matrix inequalities. Finally, the feasibility and validity of the main results can be illustrated through a numerical example.http://dx.doi.org/10.1155/2018/5365493 |
| spellingShingle | Chengcheng Ren Shuping He Positiveness and Observer-Based Finite-Time Control for a Class of Markov Jump Systems with Some Complex Environment Parameters Complexity |
| title | Positiveness and Observer-Based Finite-Time Control for a Class of Markov Jump Systems with Some Complex Environment Parameters |
| title_full | Positiveness and Observer-Based Finite-Time Control for a Class of Markov Jump Systems with Some Complex Environment Parameters |
| title_fullStr | Positiveness and Observer-Based Finite-Time Control for a Class of Markov Jump Systems with Some Complex Environment Parameters |
| title_full_unstemmed | Positiveness and Observer-Based Finite-Time Control for a Class of Markov Jump Systems with Some Complex Environment Parameters |
| title_short | Positiveness and Observer-Based Finite-Time Control for a Class of Markov Jump Systems with Some Complex Environment Parameters |
| title_sort | positiveness and observer based finite time control for a class of markov jump systems with some complex environment parameters |
| url | http://dx.doi.org/10.1155/2018/5365493 |
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