Research Initiation Award: Robust Control Synthesis for Distributed Systems

这项研究的目的是发展控制的计算方法 线性多变量分布参数系统综合 （由偏微分方程和泛函微分方程控制的系统）。 由于它们的分布结构，这些系统更 容易受到外部干扰，并且系统模型更多 很难准确识别。 将使用H ∞准则 为了实现鲁棒设计，例如寻求控制器来稳定 给定的系统与不精确的已知模型，或减少其 对干扰的敏感性。 研究重点 将放在适当的近似方案的发展 这将导致明确的控制设计程序。 这类计划 必须从系统理论以及数值点稳健， 风景 注意力将集中在计算的可行性， 设计方法和实际实现的控制器。 在优化框架内，研究将作为一个 集总系统鲁棒控制器综合的推广 分布参数系统。 最优控制器 设计技术，执行良好的性能，在存在 通过使用更复杂的反馈， 配置. 根据研究结果，一 将能够设计控制器，以实现严密的工程 通过完全数字化的控制实现技术规格 算法

This research is intended to develop computational methods for control synthesis of linear multivariable distributed parameter systems (systems governed by partial and functional differential equations). Because of their distributive structure, these systems are more vulnerable to outside disturbances, and system models are more difficult to accurately identify. H-infinity criterion is to be used to achieve robust designs such as seeking controllers to stabilize a given system with imprecisely known model, or to reduce its sensitivity with respect to disturbances. Emphasis of the research will be placed on the development of appropriate approximation schemes that will lead to explicit control design procedures. Such schemes must be robust from system theoretical as well as numerical points of view. Attention will be focused on the computational feasibility of design methods and practical realizability of resulting controllers. Within the optimization framework, the research is to evolve as an extension of robust controller synthesis for lumped systems to that for distributed parameter systems. Subsequently, optimal controller design techniques which enforce good performance in the presence of uncertainties will be developed by using more sophisticated feedback configurations. Based on the results of the proposed research, one will be able to design controllers to achieve tight engineering specifications through totally digital implementation of control algorithms.