Adaptive Stabilization Theory

自适应控制理论缺乏一个足够简单的概念框架来帮助合格的非专业人员理解当前的理论，而不需要投入过多的时间，这也可能成为进一步发展的基础。Pi提议继续他最近发起的旨在构建这样一个框架的研究计划。现有的“实用”结构的自适应算法可以在不需要充分激励的情况下证明其“全局”稳定性，这些算法只适用于满足最近的结果表明不必要的限制的假设的过程模型。其原因似乎与这些算法依赖于参数调整的增广误差有关。他建议开发算法，在比目前所需的假设更弱的假设下，自适应地稳定过程。他的方法将是使用间接控制概念，因为使用这种方法不需要增加误差。他将使用计算机模拟实验来排除不可接受的算法，并指导他开发可接受的算法。

Adaptive control theory lacks a conceptual framework which is sufficiently simple to help qualified nonspecialists to understand the current theory without making an inordinately large time investment and which might also serve as the basis for further development. PI proposes to continue his recently initiated research program aimed at constructing such a framework. Existing adaptive algorithms of 'practical' structure for which 'global' stability can be proved without requiring sufficient excitation are only applicable to process models satisfying assumptions which recent results suggest are unnecessarily restrictive. The reason for this seems to be related to the reliance of these algorithms on an augmented error for parameter tuning. He proposes to develop algorithms which can adaptively stabilize processes under assumptions weaker than those presently required. His approach will be to use indirect control concepts, since error augmentation is not needed using this approach. He will use computer simulation experiments to rule out unacceptable algorithms and to guide him in the development of acceptable ones.