Control of Nonlinear Differential-Algebraic Equation Systems

非线性微分代数方程组的控制

• 批准号: 9320402
• 负责人: Prodromos Daoutidis
• 金额: $ 14.38万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-03-15 至 1998-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9320402&HistoricalAwards=false
• 关键词: Control; Nonlinear; Differential; Algebraic; Equation

Abstract - Daoutides - 9320402 Chemical engineering processes are inherently nonlinear and multivariable, and are typically modeled by coupled differential and algebraic equations (DAEs). The differential equations arise from dynamic conservation equations, while the algebraic equations arise from thermodynamic equilibrium relations, empirical constitutive equations, closure conditions, quasi-steady-state assumptions, etc. For many chemical processes, the algebraic equations are implicit and singular in nature and do not allow the direct reduction of the process model to one consisting of pure differential equations. The objective of this research is to develop a comprehensive framework for the analysis and control of nonlinear multivariable DAE systems. A state-space methodology framework will be adopted for this purpose and nonlinear analysis and synthesis tools will be used. Fundamental insight on the nature of the control problem will be obtained and general control methods will be developed. Software tools will also be developed and used for the application of the methods to representative chemical reaction and separation processes.

摘要- Daoutides - 9320402 化学工程过程本质上是非线性和多变量的，并且通常通过耦合微分和代数方程（DAE）来建模。 微分方程产生于动力学守恒方程，而代数方程产生于热力学平衡关系、经验本构方程、闭合条件、准稳态假设等。对于许多化学过程，代数方程在性质上是隐式和奇异的，不允许将过程模型直接还原为由纯微分方程组成的过程模型。 本研究的目的是发展一个全面的框架，分析和控制的非线性多变量DAE系统。 为此，将采用状态空间方法框架，并使用非线性分析和合成工具。 将获得关于控制问题的本质的基本见解，并将开发一般控制方法。 还将开发软件工具，用于将这些方法应用于有代表性的化学反应和分离过程。