Flight Control Systems

Topics: Control theory, Flight dynamics, Transfer function Pages: 97 (17127 words) Published: March 31, 2013
Flight Control Systems
W.-H. Chen Department of Aeronautical and Automotive Engineering Loughborough University

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Flight Control Systems by W.-H. Chen, AAE, Loughborough

Contents
1 Introduction 1.1 Overview of the Flight Envelope 1.2 Flight control systems . . . . . . 1.3 Modern Control . . . . . . . . . . 1.4 Introduction to the course . . . . 1.4.1 Content . . . . . . . . . . 1.4.2 Tutorials and coursework 1.4.3 Assessment . . . . . . . . 1.4.4 Lecture plan . . . . . . . 1.4.5 References . . . . . . . . . 7 7 8 8 9 9 10 10 10 11 13 13 16 16 17 17 18 19 19 20 20 20 20 20 24 25 25 25 25 26 27 27 29

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2 Longitudinal response to the control 2.1 Longitudinal dynamics . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 State space description . . . . . . . . . . . . . . . . . . . . . . . . . 2.2.1 State variables . . . . . . . . . . . . . . . . . . . . . . . . . 2.2.2 General state space model . . . . . . . . . . . . . . . . . . . 2.3 Longitudinal state space model . . . . . . . . . . . . . . . . . . . . 2.3.1 Numerical example . . . . . . . . . . . . . . . . . . . . . . . 2.3.2 The choice of state variables . . . . . . . . . . . . . . . . . . 2.4 Aircraft dynamic behaviour simulation using state space models . 2.4.1 Aircraft response without control . . . . . . . . . . . . . . . 2.4.2 Aircraft response to controls . . . . . . . . . . . . . . . . . 2.4.3 Aircraft response under both initial conditions and controls 2.5 Longitudinal response to the elevator . . . . . . . . . . . . . . . . . 2.6 Transfer of state space models into transfer functions . . . . . . . . 2.6.1 From a transfer function to a state space model . . . . . . . 2.7 Block diagram representation of state space models . . . . . . . . . 2.8 Static stability and dynamic modes . . . . . . . . . . . . . . . . . . 2.8.1 Aircraft stability . . . . . . . . . . . . . . . . . . . . . . . . 2.8.2 Stability with FCS augmentation . . . . . . . . . . . . . . . 2.8.3 Dynamic modes . . . . . . . . . . . . . . . . . . . . . . . . . 2.9 Reduced models of longitudinal dynamics . . . . . . . . . . . . . . 2.9.1 Phugoid approximation . . . . . . . . . . . . . . . . . . . . 2.9.2 Short period approximation . . . . . . . . . . . . . . . . . . 3

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4 3 Lateral response to the controls 3.1 Lateral state space models . . . . . . . . . . . . 3.2 Transient response to aileron and rudder . . . . 3.2.1 Numerical example . . . . . . . . . . . . 3.2.2 Lateral response and transfer functions 3.3 Reduced order models . . . . . . . . . . . . . . 3.3.1 Roll subsidence . . . . . . . . . . . . . . 3.3.2 Spiral mode approximation . . . . . . . 3.3.3 Dutch roll . . . . . . . . . . . . . . . . . 3.3.4 Three degrees of freedom approximation 3.3.5 Re-formulation of the lateral dynamics .

CONTENTS 31 31 33 33 33 35 38 38 39 39 40 43 43 46 46 46 46 48 49 49 55 55 55 58 58 60 60 61 62 65 66 66 67 68 68 68 69 69 69 70 70 71 71 73 73 73 73

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