基于有限时间指令滤波的非线性系统固定时间预设性能控制
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1. 辽宁科技大学 电子与信息工程学院,辽宁 鞍山 114044;2. 渤海大学 数学科学学院,辽宁 锦州 121013;3. 北京科技大学 自动化学院,北京 100083

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E-mail: cm8061@sina.com.

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TP273

基金项目:

国家自然科学基金项目(U21A20483,61873024,61773072).


Finite-time command filtered-based fixed-time prescribed performance control
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1. School of Electronic and Information Engineering,University of Science and Technology Liaoning,Anshan 114044,China;2. College of Mathematical Sciences,Bohai University, Jinzhou 121013,China;3. School of Automation and Electrical Engineering,University of Science and Technology Beijing,Beijing 100083,China

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    摘要:

    针对一类严格反馈非线性系统,提出一种基于有限时间指令滤波的自适应固定时间预设性能控制策略.首先,引用非线性映射技术及适当的误差变换,建立等效的误差模型;其次,综合利用反步法、固定时间控制和自适应控制等方法,设计一种基于有限时间指令滤波的预设性能跟踪控制器.该策略应用指令滤波器解决了反步法中对虚拟控制律反复求导问题,减轻了计算负担.此外,预设性能控制和固定时间控制保证了系统的跟踪误差能够在固定时间内收敛到预设性能函数限定的范围内,其收敛时间与系统初始条件无关,且确保系统中全部信号在有限时间均达到有界区域.理论分析与仿真验证均表明了所提出设计方法的有效性.

    Abstract:

    For a class of strict-feedback nonlinear systems, an adaptive fixed-time prescribed performance control strategy is proposed based on finite-time command filtering. Firstly, we establish an equivalent error model by using nonlinear mapping technique and appropriate error transformation. Secondly, a finite-time command-filtered based prescribed performance tracking controller is constructed through comprehensive utilization of the backstepping scheme, fixed-time control and adaptive control and so on. In the strategy, a command filter is used to solve the problem of repeated derivation of virtual control laws in the backstepping method and reduce the computational burden. In addition, prescribed performance control and fixed-time control ensure that the tracking error of the system can converge to the range limited by the prescribed performance functions in fixed time, and the convergence time is independent of the initial conditions. And all the signals in the system are guaranteed to reach the bounded region in finite time. Finally, theoretical analysis and simulation results show the effectiveness of the proposed method.

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李应森,陈明,姜海洋,等.基于有限时间指令滤波的非线性系统固定时间预设性能控制[J].控制与决策,2024,39(5):1498-1506

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  • 在线发布日期: 2024-04-17
  • 出版日期: 2024-05-20
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