基于分段可微Lyapunov函数方法的模糊控制系统稳定性分析

摘要

The necessary and sufficient conditions for stability are given by introducing the differentiable segment Lyapunov function adaptable to fuzzy systems, and then the design of ordinary system control is converted into a series plan of special subsystems via its concept. A numerical simulation is done to exemplify that such problems can be solved by using this approach and the proposed method is effective.%引入了适合于模糊控制系统的分段可微Lyapunov函数,得到了该系统稳定的充分必要条件,并利用特殊子系统的概念将一般系统的控制设计转化为一系列的特殊子系统的控制设计问题.最后,给出了一个数值算例,计算结果表明可以使用该方法求解这类问题,同时也证明了此方法的有效性.