On the local stability properties of adaptive parameter estimators with composite errors and split algorithms

Williamson G.A.; Anderson B.D.O.

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On the local stability properties of adaptive parameter estimators with composite errors and split algorithms

机译：具有复合误差和分裂算法的自适应参数估计量的局部稳定性

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The stability characteristics of a generalized error system structure are examined for adaptive parameter estimation systems. This error system form encompasses the structure of a number of particular applications of adaptive parameter estimation theory which fall outside the framework of more familiar error system models. The consequences for error system stability which derive from the added generality are analyzed. It is demonstrated that, when using averaging theory techniques to analyze the error system, stability conditions must be augmented for the basic error system in order to ensure stability for the generalized error system. The inadequacy of regressor spectral restrictions and persistent spanning conditions to guarantee local error system stability of the generalized structure is rigorously established. Alternative conditions which will yield such local stability are demonstrated. To illustrate the concepts involved, the recursive identification of parameters is examined in a parallel-form realization of a linear system.

机译：对于自适应参数估计系统，研究了广义误差系统结构的稳定性特征。这种误差系统形式包括自适应参数估计理论的许多特定应用的结构，这些结构不属于更熟悉的误差系统模型的框架。分析了由于增加的通用性而导致的错误系统稳定性的后果。结果表明，当使用平均理论技术分析误差系统时，必须为基本误差系统增加稳定性条件，以确保广义误差系统的稳定性。严格建立了回归谱限制和持续扩展条件不足以保证广义结构的局部误差系统稳定性的不足。证明了产生这种局部稳定性的替代条件。为了说明所涉及的概念，在线性系统的并行形式实现中检查了参数的递归标识。

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《IEEE Transactions on Automatic Control》 |1991年第4期|P.463-473|共11页
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Williamson G.A.; Anderson B.D.O.;
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On the local stability properties of adaptive parameter estimators with composite errors and split algorithms

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