Fundamental Limitations in Control of Nonlinear Systems with Application to Biology

非线性系统控制及其在生物学中的应用的基本限制

• 批准号: 0925534
• 负责人: Prashant Mehta
• 金额: $ 37.48万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-09-15 至 2014-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0925534&HistoricalAwards=false
• 关键词: Fundamental; Limitations; Control; Nonlinear; Systems

Objective: The motivation for the proposed research comes from the brain, where nonlinear dynamics are believed to be at the heart of computation, signal processing and control. The brain suggests that nonlinear dynamics and control have a robust, synergistic relationship. This proposal offers an integrated research program for the fundamental limitations and robustness analysis of nonlinear systems with control. Intellectual Merit: The intellectual merit derives from the proposed unified framework for fundamental limitations and robustness analysis of nonlinear feedback systems. A variety of system theoretic problems can be cast within the proposed framework, which can lead to transformative advances in the fundamental understanding of nonlinear dynamics in brain functions. The project will develop algorithms and software for model reduction, enunciation of control architectures that are best suited to exploit synergies between nonlinear dynamics and control and development of software tools for modeling the neural circuits in the brain.Broader Impacts: The theoretical aspects of the proposed research address fundamental limitations in control of nonlinear systems, which have broad applicability. The brain itself offers a unique paradigm that can lead to novel ways to leverage nonlinear dynamics in current and future engineering applications. In addition the research plan is closely integrated with an educational plan. Several educational initiatives will help disseminate the methods, outcomes and the interdisciplinary synergies. This project seeks to develop a strong undergraduate involvement in research, interdisciplinary outreach activities, exposure to the central role of dynamics and control and to foster symbiotic relationships between university research and the industry.

目的：拟议研究的动机来自大脑，非线性动力学被认为是计算、信号处理和控制的核心。大脑表明非线性动力学和控制具有强大的协同关系。 该提案为带控制的非线性系统的基本局限性和鲁棒性分析提供了一个综合研究计划。智力优点：智力优点源自所提出的非线性反馈系统基本限制和鲁棒性分析的统一框架。各种系统理论问题可以在所提出的框架内提出，这可以导致对大脑功能非线性动力学的基本理解的变革性进展。该项目将开发用于模型简化的算法和软件，阐明最适合利用非线性动力学和控制之间的协同作用的控制架构，以及开发用于建模大脑神经回路的软件工具。更广泛的影响：该提议的理论方面研究解决了非线性系统控制的基本局限性，具有广泛的适用性。大脑本身提供了一种独特的范例，可以带来在当前和未来的工程应用中利用非线性动力学的新方法。此外，研究计划与教育计划紧密结合。一些教育举措将有助于传播方法、成果和跨学科协同作用。该项目旨在培养本科生对研究、跨学科推广活动的强烈参与，接触动力学和控制的核心作用，并促进大学研究与行业之间的共生关系。