Aircraft Lateral dynamics Using a procedure similar to the longitudinal case, we can develop the equations of motion for the lateral dynamics

State Space Basics State space models are of the form x()= Ax(t)+ Bult) y(t)= Cx(t)+ Dult) with associated transfer function G()=C(sI-A)

mu Xuu+ Xww-mg cos 000+ m(wi-qUo) Zuu+ Zww Ziw+ Zgq-mg sin+ Iyyq Muu+ Mww+ Mww+ Mq+ There is no roll/yaw motion, so=0. Control commands△x,△z,and△ MC have not yet been specified

Note can develop good approximation of key aircraft motion(Phugoid) using simple balance between kinetic and potential energies. Consider an aircraft in steady, level flight with speed U and height ho. The motion is perturbed slightly so that

Aircraft Performance Accelerated horizontal flight-balance of forces -Engine thrust TLift(toV)

Handout 3: Gain and Phase Margins for unstable systems Eric Feron Feb9,2004 Gain and Phase Margins exist for all systems, including the unstable ones Examplel

Handout 20: Phase Plane analysis: Introduction Eric Feron April 28, 2004 State space equations of second-order systems

3.1概述 (1)功用 利用涡轮传来的旋转机械功,提高流过气体的压力,以提供发动机工作时所需要的压缩空气。 (2)结构形式 1 按气体流动方向

Handout 14: Introduction to nonlinear systesm Eric Feron Mar29,2004 Linear systems reminder:

Handout 19: More about Dual-input describing functions- Limit cycle stability analysis Eric Feron April 16, 2004 Dual-input describing functions for Toggle switch Another servo-motor application