一类带有广义不确定性非线性系统的自适应模糊反演控制

本文结合自适应控制、模糊控制和反演控制方法，针对带有广义不确定性的严格块反馈型非线性系统，设计了一种自适应模糊反演控制律。对反演控制律设计的不足之处，采用自适应模糊控制去逼近非线性系统中带有广义不确定性的非线性函数，从而实现了无需精确数学模型的全新控制律，避免了因存在不确定性对系统带来的不良影响。在此基础上，利用李亚普诺夫方法分析了系统的稳定性和收敛性。仿真结果表明：本文所设计的控制律，对严格块反馈型非线性系统中存在的不确定因素具有较强的鲁棒性和自适应性。

Adaptive fuzzy back-stepping control of a class of nonlinear systems with bounded uncertainties

Based on back-stepping design, adaptive control and fuzzy control, a new adaptive fuzzy back-stepping control law was designed for strictly block type of feedback nonlinear systems control with bounded uncertainties. Adaptive fuzzy control method to approximate a nonlinear function with bounded uncertainties of nonlinear systems by analyzing the disadvantage of common back-stepping. New control law of the nonlinear systems is achieved without accurate mathematical model. The method overcomes the impact of the bounded uncertainties on the control system. On this basis, the system stability and convergence are proved by Lyapunov method. Simulation results indicate that the designed control law has strong robustness and adaptability, uncertainties that exist in the strict block feedback nonlinear systems.