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Longitudinal Control 285Let: (Note q = x3) x A x5then:. SB = Kfiwhere: K = Afi + Bs,9.4.4 Additional Feedback TermsSometimes, to achieve required handling qualities, an additional feedback termbased upon the normal acceleration measured at the c.g.

Is included in thefeedback control law used in pitch SAS thus:8~ = Kqq + Kazazcg (9.57)From the point of view of modern control theory, eq. (9.57) is no more thananother expression of a full state variable feedback control law. From the point of StabilityAugmentation Systems Controller and-4 Y(4 actuator + 6 ~ ( s ) Aircraft dynamics [ (4azcg sRate gyroJ~F- I Accelerometer Figure 9.13 Pitch rate and acceleration feedback SAS.view of a flight control engineer, eq. (9.57) is the practical alternative, requiringonly pitch rate and normal acceleration to be measured. Both variables arerelatively straightforward to measure using rate gyros and accelerometers locatedat the aircraft's c.g. The block diagram of a SAS, using the control law of eq.(9.57), is represented in Figure 9.13, with its corresponding dynamic responseshown in Figure 9.14. This response should be compared with that of theuncontrolled aircraft which is shown in Figure 9.3(b).

The closed loop responsesshown in Figures 9.8, 9.9 and 9.12 should also be inspected for comparisonpurposes. Acceleration feedback is generally considered to 'stiffen' the system,i.e.

The short period frequency is invariably increased. This can be appreciatedeasily by considering FOXTROT-c3ontrolled by the law of eq. (9.57), where:1-0.01 0 I I I I I I ' II I 1 2 3 5 4 Time (s)Figure 9.14 Response of blended control to a(O)= lo. Longitudinal Control --r 7 e - I. Free Download Canon Lbp2900b Driver For Windows 7 32 Bit more. ' F 'p, j i ~ l i ~chontdition 2 FlightO f1~lig hcot ndition 3 condition 4-0.035 -!!-0.040[ 1 I I I I I I I I I 0 12 3 4 5 Time (s)Figure 9.15 Response of pitch rate SAS for four flight conditions.The corresponding eigenvalues of the controlled system are: phugoid: XI, X2 = - 0.0066 f j0.005 short period: h3, X4 = - 26.4 f j43.55In American papers, a control law such as eq.

(9.57) is often referred as 'blendedfeedback control'; such a control law is usually used to achieve, as nearly aspossible, invariant flying qualities throughout the flight envelope of the aircraft.The closeness with which this ideal is approached depends upon the ratio ofthe feedback gains, K, and K,. Usually, at low dynamic pressures (i.e.

1 1 2 ~ ~;being not very large) the contr6lled aircraft is arranged to behave as if it were apure pitch rate SAS; at high dynamic pressures, the system behaves morenoticeably as a normal acceleration control system. Such blended feedbacksystems can 'mask' the natural ability of an aircraft to provide a 'stall warning'.This occurs because the control system tries to maintain good flying qualities untilclose to the point of the aircraft's stalling. Megarry And Wade The Law Of Real Property Pdf Printer. To provide an illustration of this point,Figure 9.15 shows the transient response of the aircraft FOXTROT for all four flightconditions using the same fixed pitch rate feedback control law devised for flightcondition 3. The transient responses for the same four flight conditions of thesame aircraft, for the fixed blended feedback control designed for flight condition3, are shown in Figure 9.16. It can be seen how effectively the blended controllaw of eq.