Stabilization of nonlinear stochastic systems with input and output delays via event‐triggered predictive control
The stabilization of nonlinear stochastic systems with input and output delays is investigated in this article. First, an observer that includes input delay information is designed to estimate the state information after eliminating the effect of input delay. Second, a predictive scheme with delay i...
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| Published in | International journal of robust and nonlinear control Vol. 34; no. 9; pp. 6083 - 6101 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Bognor Regis
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01.06.2024
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| Abstract | The stabilization of nonlinear stochastic systems with input and output delays is investigated in this article. First, an observer that includes input delay information is designed to estimate the state information after eliminating the effect of input delay. Second, a predictive scheme with delay information is utilized to predict the system state affected by output delay, and an event‐triggered predictive controller is established to eliminate the effects of input and output delays simultaneously. Subsequently, the convergence of the prediction error is analyzed by utilizing a recursive method, and a sufficient condition to ensure the global exponential stability is given by constructing a new closed‐loop system. Finally, numerical simulations of two nonlinear stochastic systems with different delay sizes are utilized to verify the impact of the event‐triggered predictive control in addressing the stabilization of nonlinear stochastic systems with time delays. |
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| AbstractList | The stabilization of nonlinear stochastic systems with input and output delays is investigated in this article. First, an observer that includes input delay information is designed to estimate the state information after eliminating the effect of input delay. Second, a predictive scheme with delay information is utilized to predict the system state affected by output delay, and an event‐triggered predictive controller is established to eliminate the effects of input and output delays simultaneously. Subsequently, the convergence of the prediction error is analyzed by utilizing a recursive method, and a sufficient condition to ensure the global exponential stability is given by constructing a new closed‐loop system. Finally, numerical simulations of two nonlinear stochastic systems with different delay sizes are utilized to verify the impact of the event‐triggered predictive control in addressing the stabilization of nonlinear stochastic systems with time delays. |
| Author | Shi, Peng Deng, Ding‐Lin He, Ping Kovács, Levente |
| Author_xml | – sequence: 1 givenname: Ding‐Lin surname: Deng fullname: Deng, Ding‐Lin organization: Huazhong Agricultural University – sequence: 2 givenname: Ping orcidid: 0000-0001-7340-9606 surname: He fullname: He, Ping email: pinghecn@qq.com organization: Huazhong Agricultural University – sequence: 3 givenname: Peng orcidid: 0000-0001-8218-586X surname: Shi fullname: Shi, Peng organization: University of Adelaide – sequence: 4 givenname: Levente orcidid: 0000-0002-3188-0800 surname: Kovács fullname: Kovács, Levente organization: University of Óbuda |
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| Cites_doi | 10.1109/TIE.2021.3127035 10.1016/j.automatica.2022.110641 10.1016/j.jfranklin.2023.05.036 10.1080/00207721.2017.1323135 10.1016/j.sigpro.2019.107283 10.1016/j.nahs.2018.08.006 10.1109/TSMC.2021.3098754 10.1002/rnc.3568 10.1109/TAC.2019.2960267 10.1002/oca.2954 10.1016/j.amc.2019.04.060 10.1016/j.automatica.2022.110230 10.1002/rnc.6816 10.1016/j.ins.2021.06.060 10.1109/TSMC.2021.3050820 10.1109/TCNS.2018.2878506 10.1080/00207179.2014.929746 10.1109/TCYB.2020.3009118 10.1016/j.automatica.2023.111195 10.1109/TAC.2019.2916285 10.1007/978-3-540-48831-6 10.1016/j.automatica.2021.110055 10.1109/TCSI.2021.3102053 10.1109/TFUZZ.2023.3287202 10.1109/TCNS.2023.3258625 10.1109/TASE.2023.3292367 10.1109/TCYB.2021.3078572 10.1109/TCYB.2020.3034013 10.1109/TAC.2020.2990173 |
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| SubjectTerms | Delay Error analysis event‐triggered predictive control input and output delays nonlinear stochastic systems Nonlinear systems Predictive control Recursive methods Stabilization Stochastic systems |
| Title | Stabilization of nonlinear stochastic systems with input and output delays via event‐triggered predictive control |
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