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研究了随机环境中一类基准系统的有限时间事件触发自适应跟踪控制问题。为了方便控制器的设计和系统性能分析，引入了带有可调节参数的Lyapunov函数，并通过运用向量反推技术设计了有限时间自适应连续跟踪控制器，在此基础上设计了事件触发机制，生成了有限时间事件触发跟踪控制器，以降低反馈信号信道传输负载，提高控制性能。仿真结果表明所提控制方案是可行有效的。
Abstract：This paper investigates the finite-time event-triggered adaptive tracking control problem for a class of benchmark systems in a random environment.In order to facilitate the controller design and system performance analysis, this paper introduced the Lyapunov function with a adjustable parameter, and a finite-time adaptive continuous tracking controller was designed by the vector backstepping technique.Based on this, a event-triggered mechanism was derived, then a finite-time event-triggered tracking controller was generated by combining with the adaptive continuous tracking controller to reduce the load of the feedback signal transmission and improve the control performance.Simulation results were given to show that the proposed control scheme is feasible and effective.
[1] JANKOVIC M,FONTAINE D,KOKOTOVI■.TORA example:cascade and passivity-based control designs[J].IEEE Transactions on Control System Technology,1996,4(3):292-297.
[2] ALLEYNE A.Physical insights on passivity-based TORA control designs[J].IEEE Transactions on Control System Technology,1998,6(3):436-439.
[3] WU Z J,WANG S T,CUI M Y.Tracking controller design for random nonlinear benchmark system[J].Journal of the Franklin Institute,2017,354(1):360-371.
[4] WU Z J,KARIMI H R,SHI P.Practical trajectory tracking of random Lagrange systems[J].Automatica,2019,105:314-322.
[5] BHAT S P,BERNSTEIN D S.Finite-time stability of continuous autonomous systems[J].SIAM Journal on Control and Optimization,2000,38(3):751-766.
[6] ZHU Z,XIA Y Q,FU M.Attitude stabilization of rigid spacecraft with finite-time convergence[J].International Journal of Robust and Nonlinear Control,2011,21(6):686-702.
[7] CHEN W L,WANG H J,MA K M,et al.Adaptive event-triggered neural control for nonlinear uncertain system with input constraint[J].International Journal of Robust and Nonlinear Control,2020,30(10):3801-3815.
[8] AMER T S,MOATIMID G M,ZAKRIA S K,et al.Vibrational and stability analysis of planar double pendulum dynamics near resonance[J].Nonlinear Dynamics,2024,112(24):21667-21699.
[9] XING L T,WEN C Y,LIU Z T,et al.Event-triggered adaptive control for a class of uncertain nonlinear systems[J].IEEE Transactions on Automatic Control,2016,62(4):2071-2076.
[10] WU Z J.Stability criteria of random nonlinear systems and their applications[J].IEEE Transactions on Automatic Control,2015,60(4):1038-1049.
[11] CUI M Y,WU Z J.Trajectory tracking of flexible joint manipulators actuated by DC-motors under random disturbances[J].Journal of the Franklin Institute,2019,356(16):9330-9343.
[12] WANG F Y,GONG J Y,LIU Z X,et al.Finite-time output tracking control for random multi-agent systems with mismatched disturbances[J].IEEE Transactions on Automation Science and Engineering,2023,21(4):7516-7526.
[13] QIAN C J,LIN W.Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization[J].Systems & Control Letters,2001,42(3):185-200.
[14] HUANG X Q,LIN W,YANG B.Global finite-time stabilization of a class of uncertain nonlinear systems[J].Automatica,2005,41(5):881-888.
[15] CUI M Y,WU Z J,XIE X J,et al Modeling and adaptive tracking for a class of stochastic Lagrangian control systems[J].Automatica,2013,49(3):770-779.
[16] WANG H,ZHU Q X.Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form[J].Automatica,2015,54:284-291.
基本信息:
DOI：10.20062/j.cnki.CN37-1453/N.2026.01.008
中图分类号:TP13
引用信息:
[1]徐绍君,张天润,冯立康,等.一类随机基准系统的有限时间事件触发跟踪控制[J].鲁东大学学报(自然科学版),2026,42(01):69-79.DOI:10.20062/j.cnki.CN37-1453/N.2026.01.008.
基金信息:
山东省自然科学基金(ZR2025MS19,ZR2023MF016,ZR2025MS1068)