高超声速飞行器稳滑翔动力学与制导（英文版） 交通运输 陈万春等
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北京丰台
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作者陈万春等
出版社科学出版社
ISBN9787030716378
出版时间2022-03
版次1
装帧平装
开本16
页数480页
字数604千字
定价280元
货号xhwx_1202618491
上书时间2024-09-28
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目录：
contents
1 introduction 1
1.1 problem description 1
1.2 research significance 2
1.3 research progress 4
references 8
2 mathematical fundamentals 11
2.1 regular perturbation method 11
2.2 singular perturbation method 13
2.3 spectral deition method 16
2.3.1 idempotent matrix 16
2.3.2 spectral deition theorem 16
2.3.3 inference 17
2.3.4 example 19
2.4 eudospectral method 19
2.4.1 introduction of method 19
2.4.2 eudospectral discrete process 23
2.5 linear gauss eudospectral model predictive control 33
references 38
3 mathematical modeling for hypersonic glide problem 41
3.1 the coordinate system adopted in this book 41
3.1.1 geocentric inertial coordinate system (i) 41
3.1.2 geographic coordinate system (t) 41
3.1.3 orientation coordinate system (o) 42
3.1.4 velocity coordinate system (v) 42
3.1.5 half-velocity coordinate system (h) 42
3.1.6 body coordinate system (b) 43
3.2 transformation between coordinate systems 43
3.2.1 transformation between the orientation coordinate system and the half-velocity coordinate system 43
3.2.2 transformation between the velocity coordinate system and the half-velocity coordinate system 43
3.2.3 transformation between the velocity coordinate system and the body coordinate system 44
3.2.4 transformation between the body coordinate system and the half-velocity coordinate system 45
3.3 dynamic equations of hypersonic vehicle in half-velocity coordinate system 45
3.3.1 dynamics equations of the center of mass in half-velocity coordinate system 45
3.3.2 the dynamic equations of the center of mass of the vehicle 48
3.3.3 dynamic equations of hypersonic gli vehicle based on btt control 48
3.3.4 dynamic equations of hypersonic vehicle in vertical ne 49
3.3.5 atmospheric model 50
3.3.6 aerodynamic model 50
3.3.7 the stagnation point heat flow，overload and dynamic pressure 50
4 mathematical description of glide-trajectory optimization problem 53
4.1 mathematical description for optimal control problem 53
4.1.1 performance index of optimal control problem 53
4.1.2 description of optimal control problem 54
4.1.3 the minimum principle 55
4.1.4 final value performance index of time-invariant systems 56
4.1.5 integral performance index of time-invariant systems 57
4.1.6 optimal control problem with inequality constraints 58
4.1.7 methods for solving optimal control problems 58
4.2 mathematical description of optimal control problem for hypersonic vehicle entry glide 61
4.2.1 mamum final speed problem 61
4.2.2 mamum range problem 62
4.2.3 shortest time problem 62
4.2.4 optimal trajectory problem with heating rate constraint 63
4.2.5 optimal trajectory problem with heating rate and load factor constraints 64
5 indirect approach to the optimal glide trajectory problem 65
5.1 bined optimization strategy for solving the optimal gli trajectory of hypersonic aircraft 67
5.1.1 mathematical model of hypersonic gli 67
5.1.2 necessary conditions for optimal gli trajectory 68
5.1.3 solving two-point boundary value problem by bination optimization strategy 69
5.1.4 numerical calculation results 70
5.1.5 conclusion 73
5.2 trajectory optimization of transition section of gli hypersonic flight vehicle 74
5.2.1 aerodynamic data for the transition section 74
5.2.2 unconstrained trajectory of mamum terminal velocity 75
5.2.3 heat flow constrained trajectory of mamum terminal velocity 76
5.2.4 solving the two-point boundary value problem for the transition section 77
5.2.5 optimizing the transition trajectory with direct method 77
5.2.6 ste for solving the optimal transition trajectory 78
5.2.7 transitional trajectory obtained by indirect method 81
5.3 the mamum range gli trajectory of the hypersonic aircraft 84
5.3.1 guess initial values for optimal control problem by direct method 84
5.3.2 indirect method for solving optimal control problems 89
5.3.3 the mamum range gli trajectory of the hypersonic aircraft 94
references 101
6 direct method for gli trajectory optimization problem 103
6.1 direct method for solving optimal control problems 103
6.2 direct shooting method 104
6.2.1 direct multiple shooting method 104
6.2.2 direct method of discrete control 105
6.2.3 gradual subdivi optimization strategy 106
6.3 direct collocation method 107
6.3.1 general form of direct collocation method 107
6.3.2 direct transcription 108
6.3.3 implicit integral method 109
6.3.4 solving optimal trajectory problems with nlp 110
6.4 direct collocating method for trajectory with mamum gli cross range of hypersonic aircraft 111
6.4.1 mathematical model 111
6.4.2 re-entry flight control law with given angle of attack profile 113
6.4.3 solution of mamum cross range problem by direct collocation method 113
6.4.4 optimization example 116
6.4.5 summary 118
6.5 eudospectral method for the optimal trajectory of the hypersonic vehicle with the longest cross-range 119
6.5.1 introduction of eudospectral method 119
6.5.2 optimization examples and results 122
7 concept of steady glide reentry trajectory and stability of its regular perturbation solutions 125
7.1 introduction 125
7.2 kiic equations 126
7.3 definition of the steady glide trajectory 127
7.4 effects of control variable on sgt 128
7.5 effects of initial value on sgt 129
7.6 analytical solution of sgt 129
7.6.1 altitude dynamic differential equation 129
7.6.2 analytical steady glide altitude 131
7.6.3 analytical solutions of flight-path angle and vertical acceleration 134
7.7 dynamic characteristics of sgt 135
7.7.1 stability analysis 135
7.7.2 natural frequency and damping 137
7.8 feedback control of sgt 140
7.8.1 feedback design 140
7.8.2 fixed-damping differential feedback method 144
7.9 conclusions 147
references 147
8 analytical solutions of steady glide reentry trajectory in three dimensions and their application to trajectory nning 149
8.1 introduction 149
8.2 mathematical model 150
8.2.1 definition of coordinate frame 150
8.2.2 kinematic equations 150
8.2.3 decoupling of equations 152
8.3 analytical solution of glide trajectory 153
8.3.1 analytical solution of altitude 153
8.3.2 analytical solution of range 154
8.3.3 analytical solution of hea angle 154
8.3.4 analytical solution of longitude and latitude 155
8.3.5 analytical solution of velocity 156
8.3.6 optimal initial glide angle 157
8.4 simulation 157
8.4.1 parison between analytical solution and numerical integral 157
8.4.2 parison with bell analytical solution 157
8.4.3 application of analytic solutions in trajectory nning 160
8.5 summary 164
references 164
9 trajectory damping control technique for hypersonic glide reentry 167
9.1 introduction 167
9.2 guidance scheme 168
9.2.1 mathematical proof 168
9.2.2 mand flight-path angle for l/dmax 170
9.2.3 guidance scheme for range mamization and trajectory damping control 172
9.2.4 extended guidance scheme for glide range control 173
9.3 hypersonic vehicle model 174
9.4 results and discussion 176
9.4.1 performance of guidance scheme 176
9.4.2 application of the extended guidance scheme 183
9.5 conclusions 189
references 189
10 steady glide dynamic modeling and trajectory optimization for high lift-to-drag ratio reentry vehicle 191
10.1 introduction 191
10.2 dynamics and vehicle description 193
10.2.1 entry dynamics 193
10.2.2 entry trajectory constraints 194
10.2.3 vehicle description and model assumption 194
10.3 trajectory-oscillation suppressing scheme 195
10.3.1 generic theory for the oscillation suppressing scheme 195
10.3.2 performance of the trajectory-oscillation suppressing scheme 197
10.4 steady glide dynamic modeling and trajectory optimization 198
10.4.1 steady glide dynamic modeling 199
10.4.2 hp-adaptive gaussian quadrature collocation method 200
10.4.3 numerical example of trajectory optimization without bank reversal 201
10.4.4 numerical example of trajectory optimization with bank reversal 205
10.4.5 verification of feasibility for the eudospectral solution 206
10.5 conclusion 209
references 210
11 singular perturbation guidance of hypersonic glide reentry 213
11.1 singular perturbation guidance for range mamization of a hypersonic glider 213
11.1.1 problem formulation (dimensionless model) 213
11.1.2 reduced-order system solutions 215
11.1.3 slow-boundary layer solutions 216
11.1.4 fast-boundary layer solutions 218
11.1.5 simulation results 220
11.1.6 parison and analysis 221
11.2 improved singular perturbation guidance for mamum glide range 225
11.2.1 dynamic model and solutions to the reduced-order system 226
11.2.2 boundary layer correction 227
11.2.3 slow boundary-layer correction 227
11.2.4 fast boundary-layer correction 228
11.2.5 guidance law derivation 228
11.2.6 simulation results and analyses 229
11.3 summary 232
references 232
12 3-d reentry guidance with real-time nning of reference using new analytical solutions based on spectral deition method 233
12.1 introduction 233
12.2 equations of motion 235
12.3 entry trajectory constraints 237
12.3.1 path constraints 237
12.3.2 terminal conditions 237
12.4 analytical solutions to hypersonic gli problem 237
12.4.1 auliary geocentric inertial (agi) frame 237
12.4.2 linearization of the equations of motion 239
12.4.3 analytical solutions 241
12.4.4 example for accuracy verification 245
12.5 entry guidance 248
12.5.1 descent phase 248
12.5.2 quasi-equilibrium glide phase 249
12.5.3 altitude adjustment phase 260
12.5.4 results and discussion 262
12.5.5 nominal cases 262
12.6 conclusions 273
appendix 273
references 275
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