Siguerdidjane / Bernhard Control Applications of Nonlinear Programming and Optimization 1989

1. Auflage 2014
ISBN: 978-1-4832-9814-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 134 Seiten, Web PDF

Reihe: IFAC Workshop Series

These Proceedings provide valuable information on the exchange of ideas between scientists who apply nonlinear programming and optimization to real world control problems and those who develop new methods, algorithms and software. The papers deal with windshear problems, optimization of aircraft and spacecraft trajectories, optimal control for robots, the optimization of urban traffic control, general mechanical systems, multilevel inventory systems and robust control.

Autoren/Hrsg.

Siguerdidjane, H. B.

Bernhard, P.

Inhaltsverzeichnis

1;Front Cover;1
2;Control Applications of Nonlinear Programming and Optimization 1989 ;4
3;Copyright Page;5
4;Table of Contents;10
5;PREFACE;8
6;Chapter 1. Advances in Windshear Recovery Research;12
6.1;1. INTRODUCTION;12
6.2;2. TAKE-OFF PROBLEM (REFS- 1-8);14
6.3;3. ABORT LANDING PROBLEM (REFS. 9-12);17
6.4;4. PENETRATION LANDING PROBLEM (REFS.13-14);19
6.5;5. VIEW TOWARD THE FUTURE;24
6.6;6. APPENDIX A: EQUATIONS OF MOTION;24
6.7;7. APPENDIX B: NOTATIONS;25
6.8;REFERENCES;25
7;Chapter 2. Optimal Control in Abort Landing of a Passenger Aircraft;32
7.1;INTRODUCTION;32
7.2;THE MODEL;32
7.3;NECESSARY CONDITIONS;33
7.4;NUMERICAL RESULTS;34
7.5;CONCLUSIONS;35
7.6;REFERENCES;36
8;Chapter 3. ARIANE V Ascent Trajectory Optimization with a First-stage Splash-down Constraint;38
8.1;INTRODUCTION;38
8.2;INITIAL AND MATCHING CONDITIONS;40
8.3;SPLASH-DOWN CONDITIONS;40
8.4;NONLINEAR PROGRAMMING PROBLEM;40
8.5;NUMERICAL RESULTS;41
8.6;CONCLUSIONS;41
8.7;REFERENCES;41
9;Chapter 4. Optimal Re-entry Guidance of Space Vehicles Under Control and State Constraints;44
9.1;INTRODUCTION;44
9.2;THE GUIDANCE OF A SPACE VEHICLE DURING ATMOSPHERIC RE-ENTRY;45
9.3;CONCLUSIONS;49
9.4;REFERENCES;49
10;Chapter 5. Fast Computation of Feedback Controls for a Re-entering Orbiter;50
10.1;THE NOMINAL TRAJECTORY;50
10.2;THE ACTUAL TRAJECTORY;51
10.3;OPTIMAL RE-ENTRY OF AN ORBITER;52
10.4;CONCLUSIONS;55
10.5;REFERENCES;55
11;Chapter 6. A Generalized Reduced Gradient Algorithm for Solving Large-scale Discrete-time Nonlinear Optimal Control Problems;56
11.1;INTRODUCTION;56
11.2;THE ALGORITHM GRECO;56
11.3;LIMITED-STORAGE QUASI-NEWTON METHODS;58
11.4;ALTERNATIVE SEARCH DIRECTIONS IN THE GRECO ALGORITHM;59
11.5;EXAMPLES;59
11.6;REFERENCES;60
12;Chapter 7. Solution of the Optimal Control Problem Using the Software Package Stomp;62
12.1;1. INTRODUCTION;62
12.2;2. LOW L/D REENTRY TRAJECTORY PROBLEM;62
12.3;3. IMPROVED FLEXIBILITY IN CONTROL FUNCTION MODELING;63
12.4;4. ACCURACY OBTAINED IN FORWARD DIFFERENCE GRADIENT ESTIMATES;65
12.5;5. CONCLUSIONS;67
12.6;REFERENCES;67
13;Chapter 8. Quadratic Programming Applied to Short Term Hydro-thermal Scheduling;68
13.1;1. Introduction;68
13.2;2. Mathematical model;68
13.3;3.THE CASE STUDY;69
13.4;4. CONCLUSION;69
13.5;REFERENCES;70
13.6;5. Appendix;70
14;Chapter 9. Continuous Dynamic Programming for Singular Systems;74
14.1;INTRODUCTION;74
14.2;SINGULAR FORM OF CONTINUOUS DYNAMIC PROGRAMMING;75
14.3;APPLICATIONS;75
14.4;REFERENCES;76
15;Chapter 10. Computing Optimal Controls for Systems with State and Control Constraints;78
15.1;INTRODUCTION: CONTROL DESIGN AND OPTIMIZATION;78
15.2;PROBLEM DESCRIPTION;79
15.3;METHODS FOR SOLVING OPTIMAL CONTROL PROBLEMS;79
15.4;PARAMETRIZATION OF CONTROLS;79
15.5;NONLINEAR PROGRAMMING APPLIED TO PARAMETRIZED OPTIMAL CONTROL PROBLEMS;80
15.6;COMPARISON OF METHODS;81
15.7;GOMA - AN OPTIMIZATION ENVIRONMENT IN ACSL;83
15.8;CONCLUSIONS;83
15.9;REFERENCES;83
16;Chapter 11. Optimal Control of Constrained Mechanical Systems;84
16.1;INTRODUCTION;84
16.2;OPTIMALITY CONDITIONS;84
16.3;EXAMPLES;85
16.4;CONCLUSIONS;89
16.5;References;89
17;Chapter 12. Nonlinear Differential Formal Calculus in Automation and Robotics;90
17.1;A INTRODUCTION;90
17.2;B DIFFERENTIAL GEOMETRY;90
17.3;C DIFFERENTIAL ALGEBRA;91
17.4;BIBLIOGRAPHY:;93
18;Chapter 13. Geometrical Solution of a Manipulator Optimization Problem;94
18.1;INTRODUCTION;94
18.2;EQUATIONS OF MOTION;94
18.3;GEOMETRY OF MOTION;95
18.4;CONCLUSIONS;98
18.5;REFERENCES;98
19;Chapter 14. Optimal Feedback Control for Robots;100
19.1;INTRODUCTION;100
19.2;MODELS FOR FOBOT CONTROL;100
19.3;TEST EXAMPLE;101
19.4;THE PREPROCESSOR GOMA;102
19.5;COMPUTATIONAL EXPERIENCES AND RESULTS;102
19.6;CONCLUSIONS;104
19.7;REFERENCES;104
20;Chapter 15. Input-output Nonlinear Model of a Coke Oven Battery;106
20.1;INTRODUCTION;106
20.2;MODELLING A COKE OVEN BATTERY;107
20.3;IDENTIFICATION OF THE BILINEAR MODEL M;107
20.4;CONCLUSION;108
20.5;ACKNOWLEDGEMENTS;108
20.6;REFERENCES;108
21;Chapter 16. A Nash Solution for Urban Traffic Control;112
21.1;INTRODUCTION;112
21.2;TRAFFIC NETWORK MODEL;112
21.3;NASH SOLUTION;113
21.4;EXAMPLE;114
21.5;CONCLUSION;114
21.6;REFERENCES;114
22;Chapter 17. A Cutting Plane Technique Applied to Robust Control Synthesis;116
22.1;INTRODUCTION;116
22.2;THEORETICAL ANALYSIS;116
22.3;CONVEXITY PROPERTIES AND OPTIMIZATION PROBLEM;117
22.4;NUMERICAL PROCEDURE;118
22.5;NUMERICAL EXPERIMENTS;118
22.6;CONCLUSIONS;119
22.7;REFERENCES;120
23;Chapter 18. An Algorithm of the CRONE Software: Application to the Guidance of a Mobile Robot;122
23.1;1 - INTRODUCTION;122
23.2;2 - ROBUSTNESS IN TIME DOMAIN;122
23.3;3 - ROBUSTNESS IN FREQUENCY DOMAIN;123
23.4;4 - SYNTHESIS OF THE TEMPLATE;123
23.5;5 - APPLICATION TO THE WIRE GUIDANCE OF A MOBILE ROBOT;125
23.6;6 - IDENTIFICATION METHOD USING THE SYNTHESIS ALGORITHM OF A CRONE REGULATOR;126
23.7;7 - CONCLUSION;127
23.8;BIBLIOGRAPHY;127
24;Chapter 19. Robust Adaptive GPC Application to Active Noise Cancellation;128
24.1;I. INTRODUCTION;128
24.2;II. CONTROL STRUCTURE;128
24.3;Ill IDENTIFICATION;130
24.4;IV. NUMERICAL RESULTS;130
24.5;References;131
25;Author Index;134
26;Keyword Index;136