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    Flight Performance, Stability and Control

    Dr. Parag MantriAssistant Professor

    Department of Aerospace Engineering

    June 21, 2010

    University of Petroleum and Energy Studies

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    Road-Map

    Static Stability and Control

    Aircraft Equations of Motion

    Automatic Control: Classical

    Automatic Control: Modern

    Application to Aircraft AutoPilot Design

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Stability

    Aircraft Stability: Following a displacement from an original steady flightpath, an aircraft has stability if it returns to its path without movementsof its flight control surfaces having to be applied.

    Static Stability: Immediate reacting of the aircraft

    Dynamic Stability: Reacting of aircraft over a period of time

    A static or dynamic stability can be divided into stable, unstable andneutral equilibrium

    A system can be statically stable but dynamically unstable but it cannot

    be dynamically stable unless it is statically stable.

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Aircraft Stability

    Just like the disturbances of the aircraft, the stabilizing motion will beonly in three planes; Pitch, roll and yaw

    These planes change relative to the ground but are fixed relative to theaircraft

    Lateral stability is about longitudinal axis, longitudinal stability is aboutlateral axis and directional stability about normal axis

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Axis of Rotation

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Longitudinal Stability

    When aircraft returns to trimmed angle of attack (equilibrium), positivestatic longitudinal stability

    Influenced by aircraft center of gravity and horizontal stabilizer

    When the elevators are maintained in the neutral or streamlined position,

    static stability is referred to as stick-fixed stability

    Stick-free stability refers to the condition in which the elevators areallowed to float in the airflow and return to neutral position after thepilot releases the stick

    Dynamic neutral longitudinal stability is Phugoid

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Longitudinal Stability Contd.

    If the aircraft is displaced pitch-up, angle of attack and hence liftincreases.

    In this condition if Aerodynamic center of the wing is ahead of C.G, thenthe net effect is to increasing the pitch-up moment (Not desirable)

    However, tails AC is aft of CG and hence it produces restoring moment

    For certain velocity and angle of attack, a given airplane is in equilibrium.This angle of attack is called the trim point.

    The difference in incidence angle of wing and horizontal stabilizer is

    longitudinal dihedral angle.

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Pitching and Restoring Moments

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Center of Gravity Location

    Degree of longitudinal stability depends on the relative position of theaerodynamic centers and center of gravity.

    Keeping Aerodynamic center Aft of CG, produces stable restoringmoment

    As the CG moves rearwards, static stability decreases, becomes neutraland then becomes unstable

    The CG location which results in neutral longitudinal static stability isneutral point of the aircraft

    The distance between CG at any point and the neutral point is knownas static margin

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Dynamic longitudinal Stability

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Directional Stability: Yaw axis

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Lateral Stability: Longitudinal or roll axis

    Unlike longitudinal stability, lateral stability effects directional stability aswell and vice-versa.

    This means a rolling motion can create yaw as well and yawing motioncontributes to roll.

    The idea of static and dynamic stability nonetheless remains same

    Factors contributing to lateral static stability

    Dihedral angle Swept back angle Vertical location of the wings relative to the fuselage.

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Other Instability

    Directional Divergence: Poor directional stability

    Spiral Divergence: High directional stability but poor lateral stability

    Dutch Roll: Positive directional stability (lower than spiral) and poor

    lateral stability. Rolls and yaws out of phase.

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Directional and Spiral Divergence

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Dutch Roll

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    Control Surfaces

    Ailerons (Roll)

    Rudder (Yaw)

    Elevator (Pitch)

    Flaps (Increased drag and lift)

    Spoilers (additonal drag for landing)

    Slats on leading edge (Increased drag and lift)

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Automatic Flight Control System

    Closed loop servomechanism technique used for

    Overcome any stability deficiency Improving the handling or ride qualities, e.g. holding altitude or

    air-speed Carry out maneuvers which pilot is unable to perform due to accuracy

    required or any external hindrance

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Typical Control System

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    Internal vs. External Conditions

    Internal conditions are those derived from sensors within AFCS (Pitch,roll and yaw altitudes and their rates, acceleration, etc.)

    External Conditions relate to to airspeed, altitude, track, and othernavigational information derived from sensors external to (but integrated

    with) AFCS.

    Inner loop handles the internal conditions and the outer loop handles theexternal conditions

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Components of an AFCS

    Sensors: These measure the relevant parameters and transmit theinformation in the computation group

    Computers: These convert the information from the sensors into thesignals to be fed to output devices

    Output devices: Convert computer signals into necessary output actionor control surface movements.

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control

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    Attitude Sensing: Gyroscope

    Basic Functionality

    Components

    types

    University of Petroleum and Energy Studies Introduction to Automatic Flight Control