PYIA: Robust Controller Design for Systems with Nonsmooth Nonlinearities

PYIA：非光滑非线性系统的鲁棒控制器设计

• 批准号: 9058140
• 负责人: Bonnie Ferri
• 金额: $ 26.62万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-08-15 至 1997-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9058140&HistoricalAwards=false
• 关键词: PYIA; Robust; Controller; Design; Systems

Many physical systems require nonsmooth mathematical models to capture their dynamical behavior accurately and easily. The nonsmooth characteristics may arise due to specific system elements such as relays, saturation, dead zone, backlash or they may result from a simplification in the modelling process. In many applications, these nonsmooth nonlinearities are the major stumbling-block to model reduction, stability analysis, and control design. New methods will be developed to analyze and design control systems with nonsmooth dynamics. Model reduction techniques such as singular perturbation theory will be extended to handle these types of systems. Both the stability criteria and the control design procedures will be investigated to analyze specific nonsmooth characteristics. The characteristics targeted will include both continuous and discontinuous nonlinearities and those found in power systems and in interconnected flexible structures.

许多物理系统需要非光滑的数学模型来准确而容易地捕捉它们的动力学行为。非光滑特性的产生可能是由于特定的系统因素，如继电器、饱和、死区、间隙，或者它们可能是由于建模过程中的简化而产生的。在许多应用中，这些非光滑非线性是模型简化、稳定性分析和控制设计的主要障碍。将开发新的方法来分析和设计具有非光滑动力学的控制系统。模型简化技术，如奇异摄动理论将被扩展到处理这些类型的系统。稳定性准则和控制设计程序都将被研究，以分析具体的非光滑特性。目标特性将包括连续和不连续非线性以及电力系统和互联柔性结构中的非线性。