Research Initiation Award: Parameter Estimation in Adaptive Control

研究的目的是分析和量化 估计器的设计与预期的应用 自适应控制系统 兴趣主要集中在 闭环性能的某些方面， 不确定性的存在，特别是预防 使闭环信号不会变得过大 短时间内的幅度，通常称为 “爆发”现象。 这种不良现象是 具有重要的现实意义，特别是在 弱激励系统，其中真正的非线性性质 自适应控制器是非常明显的。 该计划 是研究估计量的性质， 设计是通过信号能量以及 振幅标准 虽然最小化的 估计误差的最大幅度通常 导致线性规划问题， 维数，递归次优解将是 为了缓解这个问题，我们考虑了。 的 初步调查显示， 技术考虑到了 设计自适应系统，并更有效地利用 可用的测量。 特别强调 将给予这种方法的扩展， 时变系统及其评估 相关的性能权衡。 预计在 这项研究的结果将使一个重要的 在设计中的贡献实际上可以接受的 自适应控制器

The objective of the research is to analyze and quantify the design of estimators with intended application in adaptive control systems. Interest is mainly focused on certain aspects of closed-loop performance in the presence of uncertainty and, particularly, on preventing the closed loop signals from reaching excessively large magnitude for short time periods, commonly known as "burst" phenomena. Such undesirable phenomena are of great practical significance, especially in cases of poorly excited systems where the true nonlinear nature of adaptive controllers is highly pronounced. The plan is to investigate the properties of estimators whose design is performed via signal energy as well as amplitude criteria. Although the minimization of the maximum amplitude of the estimation error typically leads to a linear programming problem of increasing dimensionality, recursive suboptimal solutions will be considered in order to alleviate this problem. The preliminary investigations indicate that these techniques allow for amplitude considerations in the design of adaptive systems and for a more efficient use of the available measurements. Particular emphasis will be given to the extension of this approach to time-varying systems and the assessment of the associated performance trade-offs. It is expected that the results of the research will make a significant contribution in the design of practically acceptable adaptive controllers.