控制系统仿真的代数环问题及其消除方法

针对控制系统仿真中的代数环问题，探讨了代数环的起因以及迄今的对策。以具有饱和输出特性的PI调节器模型为例，提出了重构部分模型法以消除此类代数环，分析并仿真比较亍该方法与传统方法的优缺点。结果表明，传统方法通过在反馈通道中加入延迟环节来消除代数环，却牺牲了系统的仿真精确度和运行速度，甚至导致错误的仿真结果；而重构部分模型法从控制系统的特点出发，通过结构分析消除了代数环，同时保证了仿真的精确度和速度。

Algebraic loop problems in simulations of control systems and the methods to avoid it

The origin of algebraic loops and the methods to avoid it in the simulations of control systems are discussed in this paper.Taking the example of a PI(Proportional-Integral) controller with saturated-output characteristics,a method of reconstructing subsystem models with logical analyzing is proposed.The performances between the method and conventional ways are compared by analysis and simulations.It indicates that the conventional methods by adding a delayed module in the feedback channel can result in the elimination of algebraic loops but it also reduces the precision and speed of simulation.And the presented method can not only avoid algebraic loops in simulations but also provide a precise and rapid simulation results.