针对离散模糊广义系统的稳定性问题,采用更具一般性的非二次Lyapunov泛函方法研究其容许性和相关控制器设计方法.给出了一类离散T-S模糊广义系统容许性条件,并利用非PDC控制器对该系统进行控制,得到模糊广义系统可以通过反馈进行控制的充分条件,同时保证闭环系统的容许性和满足一定的性能指标.通过数值仿真验证了结论的正确性以及分析方法的有效性.因为模糊系统可以任意逼近非线性系统,该成果对非线性广义系统的研究具有一定的参考价值和理论指导意义. Aiming at the stability of discrete fuzzy descriptor systems, a more generalized non-quadratic Lyapunov functional approach is used to study the admissibility and related controller design methods. A class of admissible conditions for a class of discrete TS fuzzy descriptor systems is given. The non-PDC controller controls the system and obtains the sufficient condition that fuzzy generalized system can be controlled by feedback, while ensuring the allowability of the closed-loop system and satisfying certain performance index. The numerical simulation validates the correctness of the conclusion and the analytical method Because the fuzzy system can approach the nonlinear system arbitrarily, this result has certain reference value and theoretical guidance for the research of nonlinear generalized system.