Research Initiation Award: A Comprehensive Controller Design Methodology for Nonlinear Processes

研究启动奖：非线性过程综合控制器设计方法

• 批准号: 9009376
• 负责人: Michael Nikolaou
• 金额: $ 5.51万
• 依托单位: Texas A&M AgriLife Research
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1992-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9009376&HistoricalAwards=false
• 关键词: Research; Initiation; Award; Comprehensive; Controller

The main body of control literature has dealt with the development of controller design techniques for linear time- invariant systems. Nonlinearities encountered in a process model have usually been treated as uncertainties resulting from the linearization of that model around a steady state. Most of the real processes in chemicals manufacturing are inherently nonlinear due to, for example, the exponential form of the rate equations' dependance on temperature, hold-up on trays in distillation columns, etc. The objective of this project is to develop controller design methodologies for continuous-time nonlinear processes. Process modelling uncertainty, disturbance uncertainty, and hard constraints on process inputs and outputs will be explicitly considered. The overall controller design problem will be formulated as a weighted minmax problem, whose solution will not be interpreted as "worst-case" design, but will be shown to generate one of the noninferior solutions to a naturally occurring multi-objective optimization problem. Investigation of the solvability and of theoretical properties of the minmax problem will be undertaken through a number of case studies on chemical and biochemical reactors and distillation columns, all of which are known to present nonlinearities. Nonsmooth calculus of variations will be used to perform the maximization of the objective function with respect to closed loop input signals, while nonlinear programming will be employed to carry out the minimization with respect to the controller, the latter modelled through finite Volterra series.

控制文献的主体已经处理了 线性时间控制器设计技术的发展， 不变系统 过程中遇到的非线性 模型通常被视为不确定性， 从这个模型在稳态附近的线性化。 化学品制造中的大多数真实的过程都是 由于例如指数形式， 速率方程对温度的依赖性， 蒸馏塔中的塔盘等。 本项目的目标是开发控制器设计 连续时间非线性过程的方法。 过程建模不确定性、干扰不确定性和 对过程输入和输出的硬约束将是 明确考虑。 总体控制器设计问题 将被公式化为加权极大极小问题，其 解决方案不会被解释为“最差情况”设计，但 将产生一个非劣解， 自然发生的多目标优化问题。 可解性和理论性质的研究 最小最大问题将通过一些 化学和生物化学反应器的案例研究， 蒸馏塔，所有这些都是已知的， 非线性 将使用非光滑变分法 执行目标函数的最大化， 相对于闭环输入信号，而非线性 编程将被用来执行最小化 对于控制器，后者通过以下方式建模： 有限沃尔泰拉级数