Activating Lyapunov-Based Feedback - Nonsmooth Control Lyapunov Functions

本计画旨在提供一种新颖的高效能回馈控制设计方法，可应用于从电力、航空航天到生物系统的广泛领域。基于所谓的李雅普诺夫方法的反馈设计的一般方法已经存在多年。然而，这种方法有几个缺点，包括不能考虑受约束的系统动作（例如，某些系统变量必须保持在某些约束内）和不能指定期望的系统性能。该项目旨在利用李雅普诺夫方法的最新发展，包括新的数值技术，为非线性动态系统开发一种高性能的反馈控制方法，与目前最好的技术竞争。

This project aims to provide a novel high-performance feedback control design methodology, applicable in a wide range of areas from power to aerospace to biological systems. A general approach of feedback design based on so-called Lyapunov methods has been available for many years. However, this approach has suffered from several drawbacks including the inability to account for constrained system actions (eg where certain system variables must remain within certain constraints) and the inability to specify desired system performance. This project intends to leverage recent developments in Lyapunov methods, including novel numerical techniques, to develop a high-performance feedback control methodology for nonlinear dynamical systems competitive with the best currently available techniques.