Feedback Control of Multiple Time Scale Systems

系统反馈控制设计的研究 将进行多时间尺度系统。 该研究涉及线性和 非线性系统 反馈设计 系统将被分解为两个独立的 设计问题，解决 按顺序 首先，快速控制器是 设计符合设计规范， 快速动态 第二，慢控制器是 设计符合设计规范， 缓慢的动力学 线性系统的研究 将强调发展 频率的序贯设计程序- 域循环成形和优化。 作为 案例研究，该程序将适用于 自动驾驶仪控制设计 飞机的纵向运动。 的 非线性系统的研究将侧重于 稳定性条件的推导， 李雅普诺夫分析，和就业的一个 积分流形方法实现更高 满足设计规范的准确性。

Research on the design of feedback control for multiple-time-scale systems will be conducted. The research addresses both linear and nonlinear systems. Feedback design for such systems will be decomposed into two separate design problems, which are solved sequentially. First, a fast controller is designed to meet design specifications for the fast dynamics. Second, a slow controller is designed to meet design specifications for the slow dynamics. The research on linear systems will emphasize the development of the sequential design procedure for frequency- domain loop-shaping and optimization. As a case study, the procedure will be applied to the design of autopilot control for the longitudinal motion of an aircraft. The research on nonlinear systems will emphasize the derivation of stability conditions using Lyapunov analysis, and the employment of an integral manifold approach to achieve higher accuracy in meeting the design specifications.