In this paper, the issue of tracking control for nonlinear systems under external disturbances and asymmetric states-time-related full-state constraints imposed dynamically is studied. An adaptive fuzzy command filtered control method is developed. Firstly, the nonlinear nonstrict feedback system subjected to unknown disturbances and dynamic full-state constraints is modeled. Then, a fuzzy state observer is framed in order to estimate the unmeasured states accurately. Thirdly, a log-type nonlinear mapping barrier function is presented to map the original system under dynamic constraints to a new affine system without constraints. Furthermore, a command filter based and fuzzy observer based adaptive fuzzy tracking control scheme is designed to guarantee the boundedness of all signals in the closed-loop system. Eventually, two numerical simulations illustrate the effectiveness of the algorithm.

中文翻译：

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非对称动态约束非线性系统的自适应模糊命令滤波控制


本文研究了在外部干扰和动态施加的非对称状态-时间相关全状态约束下非线性系统的跟踪控制问题。提出了一种自适应模糊命令过滤控制方法。首先，对受未知扰动和动态全状态约束的非线性非严格反馈系统进行建模;然后，构建模糊状态观察器，以准确估计未测量的状态。再次，提出一种对数型非线性映射障碍函数，将动态约束下的原始系统映射到新的无约束仿射系统。此外，设计了一种基于命令滤波器和基于模糊观测器的自适应模糊跟踪控制方案，以保证闭环系统中所有信号的有界性。最终，两个数值模拟说明了该算法的有效性。