Stabilization of Sampled-Data Systems With Noisy Sampling Intervals and Packet Dropouts via a Discrete-Time Approach
| Autor: | Hongyi Li, Zhipei Hu, Feiqi Deng, Hongru Ren |
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| Rok vydání: | 2022 |
| Předmět: |
Kronecker product
Law of total expectation Computer science Expected value Convolution of probability distributions Vandermonde matrix Computer Science Applications symbols.namesake Discrete time and continuous time Control and Systems Engineering Transpose symbols Probability distribution Electrical and Electronic Engineering Algorithm |
| Zdroj: | IEEE Transactions on Automatic Control. 67:3204-3211 |
| ISSN: | 2334-3303 0018-9286 |
| DOI: | 10.1109/tac.2021.3096925 |
| Popis: | In real world applications, sampled-data systems are often subject to undesirable physical constraints, which results in noisy sampling intervals that fluctuate around an ideal sampling period based on certain probability distribution. In the presence of noisy sampling intervals, this article is concerned with the stabilization problem for a class of sampled-data systems with successive packet dropouts. First, the relationship between two adjacent update times of zero-order hold is established. Then, by discrete-time approach, an equivalent discrete-time stochastic system is introduced. By the law of total expectation, together with confluent Vandermonde matrix, convolution formula and Kronecker product operation, the mathematical expectation of a product of three matrices including the system matrix and its transpose is calculated. Based on this, a stabilization controller is designed such that the closed-loop system is stochastically stable. Finally, an illustrative example is provided to verify the effectiveness of the proposed design approach. |
| Databáze: | OpenAIRE |
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