Adaptive Systems for Identification, Signal Processing and Control: Solvability, Performance, Robustness and Applications

本研究的目的是开发一种 综合设计分析理论 用于识别、过滤和 未知线性随机系统的控制 的 该提案的重点是调查几个 随机自适应系统的基本方面 理论，包括自适应可解性，收敛， 性能和鲁棒性。 具体 所解决的问题包括递归识别， 自适应反馈前馈控制，自适应 滤波和状态估计，自适应信道，信道估计 均衡，自适应回波抵消，自适应 主动降噪和振动控制。 在自适应可解性的主题下，我们检查 关于是否存在自我的根本问题 自动调谐算法， 基于在线校正的控制器或滤波器 数据，给定过滤或控制目标， 某些先验信息。 话题下 性能，我们考虑的问题渐近 信号的行为和参数估计 各种自适应算法和配置。 在鲁棒性方面，我们建议 研究几种鲁棒性增强 方法，包括过滤自适应 算法，一种新的H00识别程序， 辅助变量自适应控制 辨识方法与自适应内模 控制 除了理论研究， 项目将与几个应用程序保持密切联系 研究项目，其中包括应用 主动降噪和振动控制， 智能和自适应结构的应用研究， 数字高压中重影消除的研究 高清晰度电视和自动驾驶汽车的研究 控制

The goal of this research is to develop a comprehensive theory for designing and analyzing adaptive systems for identification, filtering and control of unknown linear stochastic systems. The focus of this proposal is to investigate several fundamental aspects of stochastic adaptive system theory, including adaptive solvability, convergence, performance, and robustness. The specific problems addressed include recursive identification, adaptive feedback an feedforward control, adaptive filtering and state estimation, adaptive channel equalization, adaptive echo cancelling, adaptive active noise cancelling and vibration control. Under the topic of adaptive solvability, we examine the fundamental issue of whether there exists a self- tuning algorithm which automatically tunes itself to the correct controller or filter based on on-line data, given a filtering or control objective and certain a priori information. Under the topic of performance, we consider the issue of asymptotic behaviors of signals and parameter estimates for a variety of adaptive algorithms and configurations. Under the topic of robustness, we propose to investigate several robustness enhancement methodologies, including the filtering of adaptive algorithms, a new H00 identification procedure, adaptive control based on instrumental variable identification methods and adaptive internal model control. In addition to theoretical research, this project will maintain close ties with several applied research projects which include the applications of active noise cancelling and vibration control, applied research in smart and adaptive structures, research in ghost cancellation in digital high definition TV, and research in automatic vehicle control.