Nonlinear/Switching Control Design for Constrained Control Systems with Application to Magnetic Suspension

约束控制系统的非线性/开关控制设计及其在磁悬浮中的应用

• 批准号: 0621651
• 负责人: Tingshu Hu
• 金额: --
• 依托单位: University of Massachusetts Lowell
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-01 至 2010-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0621651&HistoricalAwards=false
• 关键词: Nonlinear; Switching; Control; Design; Constrained

Prop No. 0621651PI: HuIntellectual Merits: The proposed work aims to explore the best performances of control systems with limited control capacity and resources. Non-quadratic Lyapunov functions will be developed and applied to the construction of nonlinear feedback laws, possibly with switchingand hybrid structures. It is expected that nonlinear control laws are able to incorporate various constraints and utilize the limited resources more effectively than linear controllers. The nonlinear controllers will be constructed for the optimization of various performances, including stability region, robustness and disturbance rejection, under input and output constraints. To bridge the gap between theory and practice, this work emphasizes the realizablility of the Lyapunov approach and the design problems will be formulated into numerically tractable linear/bilinear matrix inequalities. Broader Impact: Constraints are ubiquitous in control systems. All actuators have limited capacity and all physical quantities are bounded. Magnetic suspension systems are typical examples with severe constraints. They have been utilized in a variety of engineering systems ranging from artificial heart pumps to maglev trains. The outcome of the project will benefit the society with methodologies for the development of high performance, low power, economical and compact devices. Computational software will be made available along with published articles to promote the application of the results and to stimulate the development of nonlinear control design methods. An embedded magnetic suspension system will be constructed for both research and educational purposes. Female and minority students will be actively engaged in the project. Collaboration with local industrial partners will be established to promote the application of research results.

优点：提出的工作旨在探索控制能力和资源有限的控制系统的最佳性能。非二次李雅普诺夫函数将被发展并应用于非线性反馈律的构造，可能与开关和混合结构。期望非线性控制律能够比线性控制律更有效地结合各种约束条件和利用有限的资源。在输入和输出约束下，将构造非线性控制器来优化各种性能，包括稳定区域、鲁棒性和抗扰性。为了弥合理论与实践之间的差距，本工作强调了李雅普诺夫方法的可实现性，设计问题将被表述为数值上可处理的线性/双线性矩阵不等式。更广泛的影响：约束在控制系统中无处不在。所有执行器的容量都是有限的，所有的物理量都是有限的。磁悬浮系统是具有严格约束的典型例子。它们已被用于各种工程系统，从人工心脏泵到磁悬浮列车。该项目的成果将为开发高性能、低功耗、经济和紧凑的设备提供有益的方法。计算软件将与发表的文章一起提供，以促进结果的应用并刺激非线性控制设计方法的发展。一个嵌入式磁悬浮系统将被构建用于研究和教育目的。女性和少数民族学生将积极参与该项目。与本地工业伙伴建立合作关系，促进研究成果的应用。