Coordinate Systems Today we cover: Definition of coordinates - Conventionalrealization of coordinates Modern realizations using spaced based geodetic systems (such as GPS)

MIMO Systems Singular Value Decomposition Multivariable Frequency Response Plots Copyright 2001 by Jonathan How

Reference input -II 16. 3117-23 On page 17-5, compensator implemented with a reference command y changing to feedback on e(t=r(t-y(t) rather than -y(t)

Weighting Matrix Selection a good rule of thumb when selecting the weighting matrices Rxx (or Ru and R uu is to normalize

Deterministic lOR Optimal control and the riccati equation · Lagrange multipliers The Hamiltonian matrix and the symmetric root locus Factoids: for symmtric R

Bounded gain There exist very easy ways of testing(analytically) whether S Gu)< SISO Bounded Gain Theorem: Gain of generic stable system

tate-Space Systems Closed-loop control using estimators and regulators Dynamics output feedback “ Back to reality' Copyright[2001by JOnathan dHow

Topic 8 16.31 Feedback Control State-Space Systems What are state-space models? Why should we use them? How are they related to the transfer functions used in classical control design and how do we develop a state- space model?

自动(反馈)控制是几乎所有的飞行器和航空航 天器控制及导航系统的基础。 如果没有反馈控制,人类就不能驾驭很多现代的航空航天工具。 所有现在使用的航天航空工具(如:无人驾驶飞 机,深度空间探测器)都是由反馈控制来导航和 控制的,并且人类可以对其进行高级别监控

Overview of Experiment Flight Conditions M=0.56.25000feet (Subsonic condition M=0.86.36000feef (Transonic condition) Nose-To-Tail (N2T) Distances