CAREER: Hybrid Control of Nonlinear Systems

职业：非线性系统的混合控制

• 批准号: 0134115
• 负责人: Daniel Liberzon
• 金额: $ 37.5万
• 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: 2002
• 资助国家: 美国
• 起止时间: 2002-03-01 至 2008-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0134115&HistoricalAwards=false
• 关键词: CAREER; Hybrid; Control; Nonlinear; Systems

The theory of automatic control has reached considerable maturityin the last few decades. Solutions to a large number of diverseand challenging problems have been obtained, and many importantmathematical aspects of the theory are well understood. However,there remain several categories of problems for which the successof standard control tools has been limited. These include: 1. Control of systems that cannot be stabilized by continuousfeedback. 2. Control of systems with sensor or actuatorconstraints. 3. Control of systems with large-scale modelinguncertainty. The research and educational development planproposed here is aimed at designing hybrid controlalgorithms. In this framework, a continuous-time process iscontrolled by means of logic-based switching among a family ofregulators. The closed-loop system is then called hybridbecause it combines continuous and discrete dynamics. We studyseveral situations in which such a control paradigm is natural andhelps overcome various shortcomings of more traditional controlmethodologies.The primary focus of this research is on systematic development oftools for hybrid control design, applicable to general and usefulclasses of nonlinear dynamical systems. We propose to achieve thisgoal by recognizing common trends that unify different aspects ofthe problems under consideration, and by exploiting recentadvances made by the proposer and collaborators in nonlineardisturbance attenuation and in stability analysis of switchedsystems.Hybrid control techniques are suitable for implementation in thecontext of many important applications that drive the moderntechnology, such as software-enabled control, control overnetworks, and vision-based control. These methods help bridge thegap between the mathematical control theory and engineeringpractice. For this reason, they also generate high studentinterest. Our research program will be integrated into theacademic curriculum of the Electrical and Computer EngineeringDepartment of the University of Illinois at Urbana-Champaignthrough course development, student mentoring, laboratorycreation, and tutorial publications.

在过去的几十年里，自动控制理论已经相当成熟。人们已经得到了大量多样性和挑战性问题的解决方案，并且很好地理解了该理论的许多重要的数学方面。然而，仍然有几类问题，标准控制工具的成功受到了限制。这些问题包括：1.对不能通过连续反馈稳定的系统的控制。2.具有传感器或执行器约束的系统控制。3.大范围建模不确定性系统的控制。本文提出的研究和教育发展计划旨在设计混合控制算法。在该框架中，通过在调节器家族之间基于逻辑的切换来控制连续时间过程。闭环系统被称为混杂系统，因为它结合了连续和离散的动力学。我们研究了几种情况下，这样的控制范例是自然的，并有助于克服更传统控制方法的各种缺点。本研究的主要重点是系统地开发适用于一般和有用的非线性动态系统的混合控制设计工具。我们建议通过识别将所考虑问题的不同方面统一起来的共同趋势来实现这一目标，并通过利用提出者和合作者在非线性干扰抑制和切换系统稳定性分析方面的最新进展来实现这一目标。混合控制技术适用于驱动现代技术的许多重要应用，如软件使能控制、网络控制和基于视觉的控制。这些方法有助于弥合数学控制理论与工程实践之间的鸿沟。出于这个原因，它们也引起了学生的极大兴趣。我们的研究计划将通过课程开发、学生指导、实验室创造和教程出版物整合到伊利诺伊大学厄巴纳-香槟分校电气和计算机工程系的学术课程中。