In the paper, the adaptive observer and controller designs based fuzzy approximation are studied for a class of uncertain nonlinear systems in strict feedback. The main properties of the considered systems are that all the state variables are not available for measurement and at the same time, they are required to limit in each constraint set. Due to the properties of systems, it will be a difficult task for designing the controller and the stability analysis. Based on the structure of the considered systems, a fuzzy state observer is framed to estimate the unmeasured states. To ensure that all the states do not violate their constraint bounds, the Barrier type of functions will be employed in the controller and the adaptation laws. In the stability analysis, the effect caused by the constraints for all the states can be overcome by using the Barrier Lyapunov functions. Based on the proposed control approach, it is proved that the system output is driven to track the reference signal to a bounded compact set, all the signals in the closed-loop system are guaranteed to be bounded, and all the states do not transgress their constrained sets. The effectiveness of the proposed control approach can be verified by setting a simulation example.

中文翻译：

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一类全状态约束非线性系统的自适应模糊输出反馈控制


本文针对一类严格反馈的不确定非线性系统，研究了基于模糊逼近的自适应观测器和控制器设计。所考虑系统的主要特性是所有状态变量都不可测量，同时需要在每个约束集中进行限制。由于系统的特性，控制器的设计和稳定性分析将是一项艰巨的任务。基于所考虑系统的结构，构建模糊状态观测器来估计未测量的状态。为了确保所有状态不违反其约束边界，将在控制器和适应律中采用屏障类型的函数。在稳定性分析中，可以通过使用Barrier Lyapunov函数来克服所有状态的约束带来的影响。基于所提出的控制方法，证明了系统输出被驱动以跟踪参考信号到有界紧集，闭环系统中的所有信号都保证是有界的，并且所有状态都不会超出它们的范围。约束集。通过仿真算例可以验证所提出的控制方法的有效性。