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Title: Stabilization for sampled-data systems under noisy sampling interval
Authors: Shen, B
Wang, Z
Huang, T
Keywords: Matrix exponential;Noisy sampling interval;Sampled-data control systems;Stochastic control;Synthesis of stochastic systems
Issue Date: 2016
Publisher: Elsevier
Citation: Automatica, 63: pp. 162 - 166, (2016)
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 closedloop 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.
ISSN: 0005-1098
Appears in Collections:Dept of Computer Science Research Papers

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