CAREER: Nonlinear Control of Transport-Reaction and Particulate Processes

摘要：本研究的目的是开发一个通用和实用的框架，用于合成基于非线性模型的反馈控制器，用于传输-反应和颗粒过程，在存在模型不确定性的情况下实现所需的稳定性和性能规格。其动机是：a)大量的高度非线性输运反应（例如填充床反应器和化学气相沉积过程）和颗粒（例如结晶器和气溶胶反应器）过程；B)需要对这些过程进行卓越的控制，以最大限度地减少能源消耗和成本，达到更严格的性能规范，并符合环境和安全法规；c)缺乏实际的非线性输运反应和颗粒过程控制方法。计划开展的具体研究项目包括：1)具有时变空间域的扩散-对流-反应过程控制；2)基于Navier-Stokes方程的过渡（非完全湍流）流体动力系统控制；3)基于种群平衡模型的粒子过程模型还原与控制。该研究将对输运-反应和颗粒过程的模型还原和控制问题的本质提供一个基本的认识。它还将综合实际可实现的非线性反馈控制算法，在存在模型不确定性的闭环系统中强制要求的稳定性和性能规范。控制算法将应用于化学气相沉积过程、晶体生长过程、过渡通道和边界层流动、结晶器和气溶胶过程。软件包的开发以及与公司（特别是Trikon Technologies和Beta Squared）的合作将成为将研究成果转移到工业部门的手段。作为这个职业病房的一部分，还计划了几项教育活动，包括：A)将模型约简与控制方法整合到本科数学与控制课程中；b)建立本科过程控制实验室；c)在研究成果的基础上开发非线性分布参数系统模型约简与控制研究生课程；d)在研究的基础上设计本科生开放式项目。e)与微电子领域的公司一起开发工业/研究生实习计划；f)在加州大学洛杉矶分校工程与应用科学学院建立统一的控制课程。

Abstract - Christofides - 9733509 The objective of this research is to develop a general and practical framework for the synthesis of nonlinear model-based feedback controllers for transport-reaction and particulate processes that achieve the desired stability and performance specifications in the presence of model uncertainty. The motivation is provided by: a) the abundance of highly nonlinear transport-reaction (for example packed-bed reactors and chemical vapor deposition processes) and particulate (for example crystallizers and aerosol reactors) processes; b) the need for excellent control of these processes in order to minimize energy consumption and cost, achieve tighter performance specifications, and meet environmental and safety regulations; and c) the lack of practical nonlinear control methods for transport-reaction and particulate processes. The specific research projects planned include: 1) control of diffusion-convection-reaction processes with time-dependent spatial domains, 2) control of transitional (not fully turbulent) fluid dynamic systems based on Navier-Stokes equations, and 3) model reduction and control of particulate processes based on population balance models. The research will provide a fundamental understanding on the nature of the model reduction and control problems for transport-reaction and particulate processes. It will also synthesize practically-implementable nonlinear feedback control algorithms that enforce the requested stability and performance specifications in the closed-loop system in the presence of model uncertainty. The control algorithms will be applied to chemical vapor deposition processes, crystal growth processes, transitional channel and boundary layer flows, crystallizers and aerosol processes. The development of a software package and the collaboration with companies (specifically, Trikon Technologies and Beta Squared) will be the means for transferring the results of the research to the industrial sector. As part of this CAREER a ward, several educational activities are also planned, including: a) the integration of the model reduction and control methods into the undergraduate math and control courses, b) the development of an undergraduate process control lab, c) the development of a graduate level course on model reduction and control of nonlinear distributed parameter systems based on the results of the research, d) the design of open-ended projects for undergraduate students based on the research, e) the development of an industrial/graduate student internship program with companies in the microelectronics area, and f) the establishment of a unified control curriculum in the School of Engineering and Applied Science at UCLA.