Research Initiation Award: Robust Control for Nonlinear Systems

研究启动奖：非线性系统的鲁棒控制

• 批准号: 9110493
• 负责人: Jeff Shamma
• 金额: --
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-09-01 至 1992-01-01
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9110493&HistoricalAwards=false
• 关键词: Research; Initiation; Award; Robust; Control

The research is to pursue a theory of robust control for nonlinear systems. The development of robust control techniques for nonlinear systems would provide valuable tools for nonlinear control analysis and design. The proposed lines of research are (1) the development of gain-scheduling into a systematic design methodology and (2) an investigation of input/output properties of nonlinear control design methods. The research on gain-scheduling involves a theory for "Linear Parameter-Varying" (LPV) systems. LPV systems form the underlying framework for nonlinear gain-scheduled control. A theory for such systems would remove gain-scheduling's fundamental limitation to systems which evolve slowly. The research on input/output properties of nonlinear control design methods represents an attempt to bring important linear robust control concepts to nonlinear systems. Nonlinear control design methods typically rely on state-space representations. An input/output analysis would lead to a better understanding of the capabilities and limitations of these design methods.

本研究旨在寻求一种鲁棒控制理论， 非线性系统 鲁棒控制的发展 非线性系统的技术将提供 非线性控制分析和设计的宝贵工具。 建议的研究路线是（1）发展 增益调度的系统化设计方法 （2）对输入/输出特性的研究 非线性控制设计方法 研究 增益调度涉及“线性”理论， 变参数（LPV）系统。 LPV系统形式 非线性增益调度的基本框架 控制 这种系统的理论将消除 增益调度对系统的基本限制 它们进化得很慢。 投入产出研究 非线性控制设计方法的性质 代表了一种尝试， 非线性系统的控制概念。 非线性 控制设计方法通常依赖于状态空间 表示。 投入/产出分析将导致 更好地理解这些能力， 这些设计方法的局限性。