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Integral barrier Lyapunov function‐based adaptive fuzzy output feedback control for nonlinear delayed systems with time‐varying full‐state constraints
International Journal of Adaptive Control and Signal Processing ( IF 3.9 ) Pub Date : 2020-09-07 , DOI: 10.1002/acs.3172
Dan Ye 1, 2 , Kaiyu Wang 1 , Haijiao Yang 1 , Xingang Zhao 3
Affiliation  

In this article, an adaptive fuzzy output feedback control method is presented for nonlinear time‐delay systems with time‐varying full state constraints and input saturation. To overcome the problem of time‐varying constraints, the integral barrier Lyapunov functions (IBLFs) integrating with dynamic surface control (DSC) are applied for the first time to keep the state from violating constraints. The effects of unknown time delays can be removed by using designed Lyapunov‐Krasovskii functions (LKFs). An auxiliary design system is introduced to solve the problem of input saturation. The unknown nonlinear functions are approximated by the fuzzy logic systems (FLS), and the unmeasured states are estimated by a designed fuzzy observer. The novel controller can guarantee that all signals remain semiglobally uniformly ultimately bounded and satisfactory tracking performance is achieved. Finally, two simulation examples illustrate the effectiveness of the presented control methods.

中文翻译:

具有时变全状态约束的非线性时滞系统基于积分势垒Lyapunov函数的自适应模糊输出反馈控制

本文针对具有时变全状态约束和输入饱和的非线性时滞系统,提出了一种自适应模糊输出反馈控制方法。为了克服时变约束的问题,首次应用了集成势垒Lyapunov函数(IBLF)与动态表面控制(DSC)集成,以防止状态违反约束。可以使用设计的Lyapunov‐Krasovskii函数(LKF)消除未知时间延迟的影响。为了解决输入饱和问题,引入了辅助设计系统。未知的非线性函数由模糊逻辑系统(FLS)近似,未测量的状态由设计的模糊观测器估计。新颖的控制器可以保证所有信号最终均匀地保持在半全局范围内,并获得令人满意的跟踪性能。最后,两个仿真示例说明了所提出的控制方法的有效性。
更新日期:2020-11-03
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