A linear multi-step fuzzy logical system for identifying unknown dynamic systems described by ordinary differential equations is presented. The fuzzy system is constructed according to the linear multi-step approximation method for solving ordinary differential equations. The new fuzzy logic system can predict state variables of the unknown system and approximate unknown functions in the system differential equation. The prediction and approximation precisions of the fuzzy system are analyzed theoretically. The capabilities of the proposed fuzzy system is verified by the simulation result.%根据求解常微分方程的线性多步逼近方法构造了线性多步法模糊逻辑系统以辨识由常微分方程所描述的未知动态系统.这种新的模糊逻辑系统在预测状态的同时也能够逼近系统微分方程中的未知函数.文中从理论上对其精度作了分析,并用仿真验证了所得的结果.
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