一类基于模糊逻辑系统的非线性不确定系统自适应观测器设计

Adaptive observer design for a class of nonlinear uncertain systems based on fuzzy logic systems

利用模糊逻辑系统具有充分利用专家语言信息和逼近连续函数的性质,分析和研究了一类具有未知不确定界的非线性系统的自适应状态观测器设计问题。观测器和自适应律的构成直接利用了系统的数学结构信息和模糊逻辑系统对不确定性的输出信息,在较弱的假设条件下,这种观测器与被控系统状态间的误差及各参数估计误差一致终极有界。最后的仿真实例说明了所采用的方法的有效性。

By employing fuzzy logic system with the properties of fully utilizing linguistic information from experts and approximating any continuous function with arbitrariness, the adaptive laws and state observers were synthesized for a class of nonlinear systems with uncertainties, the bounded functions of which were unknown. The architecture of laws and observers depended directly on the information from the construction of the systems controlled and the fuzzy logic system. Under some simple conditions, the laws and state observers made the state error of systems controlled and parameter estimate errors uniformly ultimately bounded (UUB). Finally, the simulation shows the validity of the method.