Prescribed performance control of strict‐feedback systems under actuation saturation and output constraint via event‐triggered approach
Summary In this work, we study the performance‐guaranteed event‐triggered control for a class of uncertain nonlinear systems in strict‐feedback form subject to input saturation and output constraint. The prescribed performance (ie, convergence rate, tracking error accuracy) and output constraint are...
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Published in | International journal of robust and nonlinear control Vol. 29; no. 18; pp. 6357 - 6373 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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Bognor Regis
Wiley Subscription Services, Inc
01.12.2019
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Abstract | Summary
In this work, we study the performance‐guaranteed event‐triggered control for a class of uncertain nonlinear systems in strict‐feedback form subject to input saturation and output constraint. The prescribed performance (ie, convergence rate, tracking error accuracy) and output constraint are firstly taken into account for nonlinear systems with event‐triggered input. By blending a speed transformation into the barrier Lyapunov function and introducing an intermediate variable to the system, two different event‐triggered control schemes are proposed for systems with and without saturation, respectively. Each scheme has two rules to determine triggering time sequences, one for control signal updating and the other for control signal transmission with the latter being a subsequence of the first. Meanwhile, it is proved that the tracking error converges to a preset compact set around zero at the prescribed decay rate and the output is maintained within a given bound at all times. Simulation verification also confirms the effectiveness of the proposed approach. |
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AbstractList | Summary
In this work, we study the performance‐guaranteed event‐triggered control for a class of uncertain nonlinear systems in strict‐feedback form subject to input saturation and output constraint. The prescribed performance (ie, convergence rate, tracking error accuracy) and output constraint are firstly taken into account for nonlinear systems with event‐triggered input. By blending a speed transformation into the barrier Lyapunov function and introducing an intermediate variable to the system, two different event‐triggered control schemes are proposed for systems with and without saturation, respectively. Each scheme has two rules to determine triggering time sequences, one for control signal updating and the other for control signal transmission with the latter being a subsequence of the first. Meanwhile, it is proved that the tracking error converges to a preset compact set around zero at the prescribed decay rate and the output is maintained within a given bound at all times. Simulation verification also confirms the effectiveness of the proposed approach. In this work, we study the performance‐guaranteed event‐triggered control for a class of uncertain nonlinear systems in strict‐feedback form subject to input saturation and output constraint. The prescribed performance (ie, convergence rate, tracking error accuracy) and output constraint are firstly taken into account for nonlinear systems with event‐triggered input. By blending a speed transformation into the barrier Lyapunov function and introducing an intermediate variable to the system, two different event‐triggered control schemes are proposed for systems with and without saturation, respectively. Each scheme has two rules to determine triggering time sequences, one for control signal updating and the other for control signal transmission with the latter being a subsequence of the first. Meanwhile, it is proved that the tracking error converges to a preset compact set around zero at the prescribed decay rate and the output is maintained within a given bound at all times. Simulation verification also confirms the effectiveness of the proposed approach. |
Author | Song, Yongduan Cao, Ye Wen, Changyun |
Author_xml | – sequence: 1 givenname: Ye orcidid: 0000-0002-0279-6175 surname: Cao fullname: Cao, Ye organization: Chongqing University – sequence: 2 givenname: Changyun surname: Wen fullname: Wen, Changyun organization: Nanyang Technological University – sequence: 3 givenname: Yongduan orcidid: 0000-0002-2167-1861 surname: Song fullname: Song, Yongduan email: ydsong@cqu.edu.cn organization: Chongqing University |
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Cites_doi | 10.1002/rnc.3293 10.1002/asjc.928 10.1002/rnc.4277 10.1109/TAC.2015.2396645 10.1016/j.automatica.2008.08.012 10.1109/TAC.2011.2122730 10.1109/TNNLS.2016.2529843 10.1002/rnc.3352 10.1016/j.automatica.2008.11.017 10.1109/TAC.2012.2206694 10.1002/rnc.3550 10.1002/rnc.3598 10.1109/TAC.2014.2363603 10.23919/ACC.2017.7963324 10.1016/S0167-6911(97)00068-6 10.1002/rnc.4486 10.1016/j.automatica.2009.10.035 10.1016/j.jfranklin.2017.09.006 10.1109/TAC.2016.2594204 10.1109/TAC.2016.2599645 10.1002/rnc.3914 10.1016/j.automatica.2011.05.027 10.1080/00207179.2015.1116049 10.1109/TAC.2016.2600340 10.1002/rnc.4466 10.1109/TAC.2015.2508741 10.3182/20060329-3-AU-2901.00017 10.1109/TNNLS.2015.2416259 10.1109/TAC.2012.2220443 10.1007/s11071-018-4256-4 10.1109/TAC.2007.904277 10.1016/j.automatica.2010.09.006 10.1016/j.automatica.2017.07.061 |
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In this work, we study the performance‐guaranteed event‐triggered control for a class of uncertain nonlinear systems in strict‐feedback form subject to... In this work, we study the performance‐guaranteed event‐triggered control for a class of uncertain nonlinear systems in strict‐feedback form subject to input... |
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SubjectTerms | Actuation Control systems Convergence Decay rate event‐triggered control Feedback input saturation Liapunov functions Nonlinear systems output constraint prescribed performance Saturation Signal transmission Tracking errors |
Title | Prescribed performance control of strict‐feedback systems under actuation saturation and output constraint via event‐triggered approach |
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