这架CV-22 鹗式军用飞机的航行有两种模式：直升飞机模式和固定机翼模式。在两种模式间进行切换是一个极具挑战性的控制课题。（图片来源：美国空军官方网站。） A CV-22 Osprey, which operates in both rotorcraft and fixed-wing configurations. The complex transition between the two states presents unique control challenges. (Image is taken from U.S. Air Force Web site.)
课程重点
本课程的站点包含了一整套讲稿。 This course site features a complete set of lecture notes.
课程描述
本课程介绍了非线性确定性动力系统。课程的主题包括：非线性常微分方程组；二维自治系统；与课程相关的基本理论，如比卡迭代法，压缩映射定理，Bellman-Gronwall引理，平衡点稳定性分析的李雅普诺夫第一种方法和第二种方法，反馈的线性化；以及非线性电路和控制系统的实际应用。 This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.
技术需求
需要能够使用MATLAB软件包来运行本课程站点上的.m文件。 MATLAB® software is required to run the .m files found on this course site.
