一类具有输入量化和未知扰动的非线性系统的自适应有限时间动态面控制

本文研究了具有量化输入信号和未知扰动的非线性系统的有限时间自适应输出反馈动态面控制问题.在控制设计过程中，利用模糊逻辑系统对系统中的非线性项进行逼近.然后引入一种滞回量化器来避免量化信号中的抖振，并且构造模糊观测器来估计系统中不可测的状态.为了提出一种有限时间控制策略，首先给出了半全局实际有限时间稳定的判据.在此基础上，将动态面控制技术与反步法相结合，设计了自适应模糊控制器.该控制器不仅能保证跟踪误差在有限时间内收敛到原点的一个小邻域，而且可以保证闭环系统中所有信号的有界性.最后通过一个仿真实例验证了该控制方法的有效性和可行性.

Adaptive finite-time dynamic surface control for nonlinear systems with input quantization and unknown disturbances

In this paper,the problem of finite-time adaptive output feedback dynamic surface control is studied for a class of nonlinear systems with quantized input signals and unknown disturbances.In the control design process,the nonlinear terms in the system are approximated by the fuzzy logic systems.A hysteretic quantizer is introduced to avoid chattering in the quantized signals,and the fuzzy state observer is constructed to estimate the unmeasurable states of the system.In order to propose the finite-time control strategy,firstly,a semi-global practical finite-time stability criterion is given.On this basis,an adaptive fuzzy controller is designed by combining the dynamic surface control technology with backstepping method.The controller can not only ensure that the observer and tracking error converge to a small neighborhood of the origin in a finite time,but also keep all the signals in the closed-loop system bounded.Finally,a simulation example is given to verify the effectiveness and feasibility of the control method.