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针对分数阶统一混沌系统,研究了非脆弱模糊控制。首先,基于T-S模糊建模理论,将分数阶统一混沌系统进行T-S模型重构;然后利用李雅普诺夫稳定性理论,研究分数阶统一混沌系统的稳定性分析问题,给出以设定衰减率全局渐近稳定的稳定性分析条件;最后,采用线性矩阵不等式技术,设计了能够镇定闭环系统的分数阶非脆弱模糊控制器。给出的3个仿真结果证明了设计方法的有效性。
For fractional unified chaotic system, non-fragile fuzzy control is studied. First of all, based on the TS fuzzy modeling theory, the fractional order unified chaotic system is reconstructed by TS model. Then, by using Lyapunov stability theory, the stability analysis problem of fractional unified chaotic system is studied. Asymptotic stability of the stability analysis conditions; Finally, the use of linear matrix inequality techniques, can be designed to stabilize the closed-loop system of fractional non-fragile fuzzy controller. Three simulation results are given to prove the effectiveness of the design method.