本项目通过深入挖掘蕴含在模糊隶属函数中的系统特性，利用并发展先进的齐次矩阵多项式技术，探索出一条能够显著减少模糊控制设计保守性的新途径。首先，研究基于Multi-Instant控制思想的新型模糊控制器设计问题，以显著降低离散时间T-S模糊控制系统的控制设计保守性；其次，研究出在Multi-Instant控制思想和高阶齐次矩阵多项式双重影响下的右侧松弛变量引入技术，以进一步提高模糊控制设计效率；再次，针对Multi-Instant控制思想和齐次矩阵多项式技术带来的控制设计方法计算复杂度增加的特点，进行降低计算复杂度的几种尝试研究；最后，基于实际工业系统来设计控制系统应用平台，对所提出理论方法的有效性进行验证。项目在理论上促进了模糊控制理论的发展，在应用上为实际工业系统的模糊控制提供了有益探索。

By both applying and developing advanced homogenous matrix polynomials, the system characteristics contained in fuzzy membership functions will be deeply explored and a new way to significantly reduce the conservatism of fuzzy control synthesis will be given in this project. Firstly, the problem of designing novel fuzzy controllers based on the so-called multi-instant control theory will be investigated, and thus the conservatism of control synthesis of discrete-time T-S fuzzy systems will be significantly reduced. Secondly, with consideration of the influence caused by the introduction of both the multi-instant control theory and homogenous matrix polynomials with higher degree, a new right-hand-side slack variables approach will be developed for enhancing the efficiency of fuzzy control synthesis. Thirdly, it is worth noting that the computational complexity may increase due to the introduction of both the multi-instant control theory and homogenous matrix polynomials, therefore some attempts will be investigated for reducing the computational complexity. Finally, the effectiveness of the proposed results will be illustrated in an application platform based on practical industrial systems. Through this project, the development of fuzzy control theory will be promoted and some useful explorations will be provided for applications of fuzzy control in practical industrial systems.