分数阶不确定非线性系统自适应控制因其有趣性质和潜在应用已成为工程师和物理学者关注的热点，近期研究表明已有的通用模糊逼近器在某些这种系统的稳定性分析中起了关键作用。本项目将证明一些新的通用模糊逼近定理（它们是已有的通用模糊逼近定理的泛化，或者规则库中涉及m-极模糊集、一般的2-型模糊集、粗糙集、广义软集和犹豫模糊集等，因而应用范围更广），在此基础上，给出逼近的具体实现方法和由规则库产生模型的方法。为了更好地满足实际需求，本项目将用新获得的逼近定理、相应匹配的Lyapunov函数、分数阶参数自适应律和分数阶滑模面等工具研究不确定分数阶非线性时滞系统的自适应模糊控制问题（还会渗入老年疾病的防阻技术和方法）。本项目（作为我们已有研究工作的继续）是可行的，它的实施将对刚刚起步的分数阶非线性系统的稳定性及控制问题的研究有一定的推动、提升作用。

Adaptive control of uncertain fractional-order nonlinear systems has captured more and more attention from engineers and physicists due to its interesting properties and potential applications. Recent researchs indicate that the universal fuzzy approximator plays a key role in the stability analysis of some of such systems. The project will prove some new universal fuzzy approximate theorems, which are generalizations of some well-known universal fuzzy approximate theorems or whose rule base contains m-polar fuzzy sets, more general type-2 fuzzy sets, rough sets, generalized soft sets, hesitant fuzzy sets, etc. (thus they may have wider applications). How to construct the proposed approximators and how to obtain a model from rule bases will also be studied based on this. For practical vality, we will study,based on new approximators and compatible Lyapunov functions, fractional adaptation laws, and fractional sliding surface,the adaptive fuzzy control problem of uncertain fractional-order nonlinear systems with time-delay (involving skills and methods of prevention and impeding of geriatric disease;). The study, as a continuation of our previous works, is feasible, its realization will enrich the stability analysis as well as controller design for fractional-order nonlinear systems.