On-line Learning and Control of Partially-Known and Unknown Nonlinear Systems

部分已知和未知非线性系统的在线学习与控制

• 批准号: 9877193
• 负责人: Petros Ioannou
• 金额: $ 24万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-05-15 至 2003-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9877193&HistoricalAwards=false
• 关键词: line; Learning; Control; Partially; Known

ECS-9877193IoannouWhile the control of linear time invariant (LTI) systems has reached a high level of maturity the control of nonlinear systems is still very much unexplored. Recent advances in nonlinear design and analysis techniques together with the widespread use of fast low cost computers and sophisticated software tools offer a strong potential for the development of successful control designs for nonlinear systems.In this proposal, a preliminary control design developed by the Principal Investigators for a class of nonlinear systems is used to motivate a series of research tasks that will lead to the development of a general methodology for controlling unknown nonlinear systems. The proposed control design employs ideas from robust adaptive and nonlinear control as well as function approximation results from neural and fuzzy systems to meet control objectives for a nonlinear plant that cannot be met by the current control methods. Robust adaptive control modifications. backstepping, tuning functions, nonlinear damping and control Lyapunov functions are some of the design techniques to be considered in the proposed work. Analytical tools such as Lyapunov theory, functional analysis and function approximations will be used together with computer simulations to establish and demonstrate the properties of the developed control methodologies.The expected outcome of the proposed research is the development of a methodology for controlling a wide class of unknown or partially known nonlinear plants that cannot be controlled using the current control methods.

ECS-9877193 Ioannou虽然线性时不变（LTI）系统的控制已经达到了高度的成熟度，但非线性系统的控制仍然是非常未开发的。 非线性设计和分析技术的最新进展以及快速低成本计算机和复杂软件工具的广泛使用为非线性系统成功的控制设计的发展提供了强大的潜力。由主要研究人员为一类非线性系统开发的初步控制设计用于激励一系列研究任务，这些任务将导致开发一个控制未知非线性系统的一般方法。 所提出的控制设计采用了鲁棒自适应和非线性控制的思想，以及神经和模糊系统的函数逼近结果，以满足当前控制方法无法满足的非线性工厂的控制目标。 鲁棒自适应控制修改。反推，调整功能，非线性阻尼和控制李雅普诺夫函数的一些设计技术，要考虑在拟议的工作。 分析工具，如李雅普诺夫理论，功能分析和功能近似将被用来与计算机模拟一起建立和演示的性能开发的控制methodology.The预期的结果，拟议的研究是一种方法的发展，用于控制广泛的未知或部分已知的非线性植物，不能使用当前的控制方法控制。