具有输出约束的非线性互联大系统分散自适应容错控制
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TP273

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武汉市知识创新专项项目基础研究项目(2023010201010055).


Decentralized adaptive fault-tolerant control for nonlinear interconnected large-scale systems with output constraints
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    摘要:

    研究Markov跳变执行器故障下, 一类具有输出约束的不确定非线性互联大系统分散自适应跟踪控制器设计问题. 考虑到故障的间歇性、时变性和随机性, 引入一组时变的Markov变量描述子系统中的执行器故障. 首先, 构造一个双曲正切型辅助函数, 仅利用局部信息补偿强度未知的子系统耦合. 然后, 设计自适应机构估计未知故障的边界, 提出一种分散容错控制器; 同时, 运用输出变换策略对子系统输出施加约束, 与基于障碍Lyapunov函数的控制方法相比, 扩大了输出初值的取值范围. 所提出方案能够保证闭环系统中所有信号依概率有界, 且子系统输出不违反约束. 最后, 对由弹簧连接的双倒立摆系统进行仿真研究, 验证所提出控制方案的有效性.

    Abstract:

    This article concerns the decentralized adaptive tracking controller design problem for a class of output-constrained uncertain nonlinear interconnected large-scale systems under Markov jump actuator faults. In view of the intermittence, time-variability and randomness of faults, a group of time-varying Markov variables is introduced to characterize the actuator faults in each subsystem. First, a hyperbolic tangent type auxiliary function is constructed to compensate subsystem interactions of unknown strengths by using local information only. Second, adaptive mechanisms are developed to estimate the bounds of unknown faults, and a decentralized fault-tolerant controller is proposed. Meanwhile, the output transformation strategy is used to constrain the subsystem output, thereby enlarging the range of the initial output value in comparison with the barrier Lyapunov function based control method. With the proposed scheme, all the closed-loop signals are bounded in probability and the output constraint is not violated in each subsystem. Finally, simulation studies are conducted on a double-inverted-pendulums system connected by a spring to demonstrate the effectiveness of the proposed control scheme.

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张骄阳,樊慧津,方新鹏,等.具有输出约束的非线性互联大系统分散自适应容错控制[J].控制与决策,2025,40(12):3576-3586

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  • 收稿日期:2025-04-14
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  • 在线发布日期: 2025-11-10
  • 出版日期: 2025-12-10
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