Anti-windup design for networked time-delay systems subject to saturating actuators under round-robin protocol
This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the actual measurement output is represented by the model that is dependent on a periodic function. Then, using the generalized delay-dependent sec...
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Published in | Applied mathematics and computation Vol. 499; p. 129413 |
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Format | Journal Article |
Language | English |
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Abstract | This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the actual measurement output is represented by the model that is dependent on a periodic function. Then, using the generalized delay-dependent sector condition, the augmented periodic Lyapunov-Krasovskii functional together with certain inequalities, an anti-windup design criterion is derived based on linear matrix inequalities under which the closed-loop systems have the desirable properties such as boundedness, H∞ performance, and asymptotic stability. The corresponding results are also presented for the case of constant delay and the case of no time delay. Moreover, the relevant optimizations in the main results are discussed. In the end, two numerical examples illustrate the availability and advantages of the proposed results.
•Anti-windup design criteria are obtained for networked systems with state delay and actuator constraints under the round-robin protocol.•Delay-dependent sector conditions are proposed to reduce the inherent conservatism of the obtained results.•Augmented periodic Lyapunov-Krasovskii functionals are constructed to analyze the closed-loop systems in a less conservative way. |
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AbstractList | This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the actual measurement output is represented by the model that is dependent on a periodic function. Then, using the generalized delay-dependent sector condition, the augmented periodic Lyapunov-Krasovskii functional together with certain inequalities, an anti-windup design criterion is derived based on linear matrix inequalities under which the closed-loop systems have the desirable properties such as boundedness, H∞ performance, and asymptotic stability. The corresponding results are also presented for the case of constant delay and the case of no time delay. Moreover, the relevant optimizations in the main results are discussed. In the end, two numerical examples illustrate the availability and advantages of the proposed results.
•Anti-windup design criteria are obtained for networked systems with state delay and actuator constraints under the round-robin protocol.•Delay-dependent sector conditions are proposed to reduce the inherent conservatism of the obtained results.•Augmented periodic Lyapunov-Krasovskii functionals are constructed to analyze the closed-loop systems in a less conservative way. |
ArticleNumber | 129413 |
Author | Gu, Zhou Yang, Xinfen Zhao, Yaxue Chen, Yonggang |
Author_xml | – sequence: 1 givenname: Yonggang orcidid: 0000-0002-9374-226X surname: Chen fullname: Chen, Yonggang email: happycygzmd@163.com organization: School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, China – sequence: 2 givenname: Yaxue surname: Zhao fullname: Zhao, Yaxue organization: School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, China – sequence: 3 givenname: Zhou orcidid: 0000-0002-0342-1658 surname: Gu fullname: Gu, Zhou organization: School of Electrical Engineering, Anhui Polytechnic University, Wuhu 241000, China – sequence: 4 givenname: Xinfen surname: Yang fullname: Yang, Xinfen organization: School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, China |
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Keywords | Anti-windup design Networked time-delay systems Round-robin protocol Saturating actuators |
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SubjectTerms | Anti-windup design Networked time-delay systems Round-robin protocol Saturating actuators |
Title | Anti-windup design for networked time-delay systems subject to saturating actuators under round-robin protocol |
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