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本文在文献[1]的基础上设计模型参考自适应系统。根据自适应模型跟随系统与自适应参数辨识系统间存在的对偶关系,采用模型状态反馈代替对象状态反馈的方法,使得在某些对象状态不能直接观测的情况下不用低噪声微分器设计自适应模型跟随系统成为可能。本文还简要地证明了单输入单输出无零点系统在可控、可观及模型与对象阶次相同的条件下是必然能达到“完全模型跟随”的。最后给出了按本文方法设计的系统及仿真结果。
This paper designs a model reference adaptive system based on the literature [1]. According to the duality relationship between adaptive system and adaptive parameter identification system, the model state feedback is used to replace the state feedback of the object, so that the adaptive model can be designed without using low-noise differentiator under the condition that some object states can not be observed directly It is possible to follow the system. In addition, the paper also proves that the zero-input single-output single-output system must be able to achieve “complete model following” under the condition of controllable, observable and the same order of model and object. Finally, the system and simulation results designed by this method are given.