USuALLY WE NOT KNOw THE \ACTUAL SYSTE\ So How WE ESTABLISH IF OUR MODEL Is Goo0? VARIOUS TPES OF TESTS CAN BE PERFORMEO PREDICTION ANO SIMULATIONJ ERRORS FRERUENCY RESPONSE FIT >MAKE SVRE YOU USE O1FFERENT 4TA To

Lateral Autopilots We can stabilize/modify the lateral dynamics using a variety of dif- ferent feedback architectures

INERTIAL SENSoRS MoST, IF NoT ALL, INETIAL SEN SORS MEASURE RATES LINE4R R ANGULAR) 6R ACCELERATIONS WHILE THE RATE INFORMATION IS TYPLCALLY VALIO VER LONG PERIODS of TIME) IT MUST BE INTEGRATED To CET

Altitude Controller In linearized form, we know from 1-5 that the change of altitude h can be written as the flight path angle times the velocity, so that

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)

Matrix Diagonalization Suppose a is diagonizable with independent eigenvectors use similarity transformations to diagonalize dynamics matrix

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)