Qualitative Classification of the Behavior of Poorly ExcitedAdaptive Feedback Systems

有很多实际的工程应用 这可以被描述为自适应反馈 系统 自适应的显著特征是 反馈系统是一个组成部分， 反馈回路的参数根据 到一个指定的算法。 自适应控制在 制造系统和自适应回波消除器 在电话线中有两个这样的例子。 自适应 反馈系统是非线性的， 参数自适应律由信号驱动， 是过去适应参数的函数。 由于 这种非线性的性质，不同的设计选择， 参数，以及不同的自适应选择 算法，带来了质的不同类型的 行为 我们建议开始努力辨别 并对系统中的行为类型进行分类 动态的观点。 使用的工具是 主要是标准的动力学分析技术， 我们和其他人以前曾利用过， 系统分析 A的预期意义 仔细组成的分类是在其规定的 发展的基础知识 所需的定性设计指南，例如泄漏 避免有界不稳定性的因子选择 例如爆裂。 好的设计总是在 对问题及其“解决办法”的良好理解 候选人 一个结构良好的分类法对于 明智的设计选择。 这样的 行为/设计导向的知识库将是至关重要的 为了未来新兴智能的成功， 控制器。 为了促进这种扩张， 自适应反馈系统理论，我们建议， 澄清并提出我们的定性概念， 不良激励行为的分类 自适应反馈系统，并开发一些 这个新生分类法的元素的原型。

There are many practical engineering applications which can be described as an adaptive feedback system. The distinguishing feature of an adaptive feedback system is that one component in the feedback loop has its parameters adapted according to a prescribed algorithm. Adaptive control in manufacturing systems and adaptive echo cancellers in telephone lines are two such examples. Adaptive feedback systems are nonlinear because the recursive parameter adaption laws are driven by signals that are functions of the past adapted parameters. Due to this nonlinear nature, different selections of design parameters, as well as different selections of adaptive algorithms, bring about qualitatively different types of behavior. We propose to initiate an effort to discern and classify the types of behavior from a system dynamic point of view. The tools to be employed are primarily standard dynamics analysis techniques that we, and others, have utilized before for adaptive systems analysis. The expected significance of a carefully composed classification is in its provision of the fundamental knowledge for the development of needed qualitative design guidelines, e.g. leakage factor selection for avoidance of bounded instabilities such as bursting. Good design is always preceded by good understanding of the problem and its "solution" candidates. A well-structured taxonomy is critical to well-informed design choices. Such a behavior/design-oriented knowledge base will be vital for the future success of emerging intelligent controllers. To contribute to such an expansion of adaptive feedback systems theory, we propose to clarify and propound our notion of a qualitative classification of the behavior of poorly excited adaptive feedback systems, and to develop some prototypes for elements of this nascent taxonomy.