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Unformatted text preview: The University of Texas at Arlington Mechanical & Aerospace Engineering Department ROOT LOCUS DESIGN OF A ROLL CONTROLLER FOR AN AIRCRAFT MAE 4310 Automatic Control Dr. Atilla Dogan August 2, 2006 Team Members Yoshitsugu Hitachi Zeshaan Altaf Neel Chatterjee Benslimane Mohammed ROOT LOCUS DESIGN OF A ROLL CONTROLLER FOR AN AIRCRAFT According to the aerodynamics analysis, the dynamics of an aircraft is usually described by very complicated 6 nonliner differential equations. However, some assumptions are made to linearlize those equations and narrow down the focus of our interests to longitudinal and lateral motions. In this project, presuming an aircraft cruising at constant altitude and speed, we design a roll controller using famous RootLocus method to develop autopilot system of the aircraft. Recalling from basic aerodynamics knowledge, we know that the weight and lift cancel each other in steady flight condition, and so do the drag and thrust. Also, the total moment on the aircraft is zero. The longitudinal motion equation describes the translational motion of the aircraft along the inertial xaxis and zaxis, and the rotation around the yaxis, socalled pitch. On the other hand, the lateral motion equation describes the translational motion along the yaxis (pitch) and angular motion around xaxis (roll) and zaxes (yaw). The linearlized lateral equations of a large, fourengined, passenger jet aircraft are given below, (1) Write the equation of motion in the statespace matrix form Bu Ax x + = Where T r p x ] [ ψ φ υ ∆ ∆ ∆ ∆ ∆ = and T r a u ] [ δ δ ∆ ∆ = According to the given equations above, 2 ∆ ∆ ∆ ∆ ∆ = ψ φ υ r p x = ∆ ∆ + ∆ ∆ ∆ ∆ ∆  r a r p r p r a r a r N N L L Y r p N N N L L L g u Y δ δ ψ φ υ θ θ θ δ δ δ δ δ υ υ υ sec tan 1 cos Summarizing all matrixes, we have  = sec tan 1 cos θ θ θ υ υ υ r p r p N N N L L L g u Y A = r a r a r N N L L Y B δ δ δ δ δ...
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This note was uploaded on 06/15/2009 for the course MAE 4310 taught by Professor Staff during the Fall '08 term at UT Arlington.
 Fall '08
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