Stabilization for sampled-data systems under noisy sampling interval
In engineering practice, the sampling interval for a sampled-data system often fluctuates around a nominal/ideal value based on certain probability distributions that can be specified a priori through statistical tests. In this paper, a fundamental stabilization problem is investigated for a class o...
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| Vydané v: | Automatica (Oxford) Ročník 63; s. 162 - 166 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
01.01.2016
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| ISSN: | 0005-1098, 1873-2836 |
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| Abstract | In engineering practice, the sampling interval for a sampled-data system often fluctuates around a nominal/ideal value based on certain probability distributions that can be specified a priori through statistical tests. In this paper, a fundamental stabilization problem is investigated for a class of sampled-data systems under noisy sampling interval. The stochastic sampled-data control system under consideration is first converted into a discrete-time system whose system matrix is represented as an equivalent yet tractable form via the matrix exponential computation. Then, by introducing a Vandermonde matrix, the mathematical expectation of the quadratic form of the system matrix is computed. By recurring to the Kronecker product operation, the sampled-data stabilization controller is designed such that the closed-loop system is stochastically stable in the presence of noisy sampling interval. Subsequently, a special case is considered where the sampling interval obeys the continuous uniform distribution and the corresponding stabilization controller is designed. Finally, a numerical simulation example is provided to demonstrate the effectiveness of the proposed design approach. |
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| AbstractList | In engineering practice, the sampling interval for a sampled-data system often fluctuates around a nominal/ideal value based on certain probability distributions that can be specified a priori through statistical tests. In this paper, a fundamental stabilization problem is investigated for a class of sampled-data systems under noisy sampling interval. The stochastic sampled-data control system under consideration is first converted into a discrete-time system whose system matrix is represented as an equivalent yet tractable form via the matrix exponential computation. Then, by introducing a Vandermonde matrix, the mathematical expectation of the quadratic form of the system matrix is computed. By recurring to the Kronecker product operation, the sampled-data stabilization controller is designed such that the closed-loop system is stochastically stable in the presence of noisy sampling interval. Subsequently, a special case is considered where the sampling interval obeys the continuous uniform distribution and the corresponding stabilization controller is designed. Finally, a numerical simulation example is provided to demonstrate the effectiveness of the proposed design approach. |
| Author | Huang, Tingwen Shen, Bo Wang, Zidong |
| Author_xml | – sequence: 1 givenname: Bo surname: Shen fullname: Shen, Bo email: bo.shen@dhu.edu.cn organization: School of Information Science and Technology, Donghua University, Shanghai 200051, China – sequence: 2 givenname: Zidong surname: Wang fullname: Wang, Zidong email: Zidong.Wang@brunel.ac.uk organization: Department of Computer Science, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK – sequence: 3 givenname: Tingwen surname: Huang fullname: Huang, Tingwen email: tingwen.huang@qatar.tamu.edu organization: Department of Mathematics, Texas A&M University at Qatar, Doha, P.O.Box 23874, Qatar |
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| SubjectTerms | Matrix exponential Noisy sampling interval Sampled-data control systems Stochastic control Synthesis of stochastic systems |
| Title | Stabilization for sampled-data systems under noisy sampling interval |
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