Di Pillo Control Applications of Nonlinear Programming and Optimization

Proceedings of the Fifth IFAC Workshop, Capri, Italy, 11-14 June 1985
1. Auflage 2014
ISBN: 978-1-4831-0547-5
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 220 Seiten, Web PDF

Control Applications of Nonlinear Programming and Optimization presents the proceedings of the Fifth IFAC Workshop held in Capri, Italy on June 11-14, 1985. The book covers various aspects of the optimization of control systems and of the numerical solution of optimization problems. The text also discusses specific applications concerned with the optimization of aircraft trajectories, of mineral and metallurgical processes, of wind tunnels, and of nuclear reactors. The book also considers computer-aided design of control systems. The book is useful to mathematicians, engineers, and computer engineers.

Autoren/Hrsg.

Di Pillo, G.

Inhaltsverzeichnis

1;Front Cover;1
2;Control Applications of Nonlinear Programming and Optimization;4
3;Copyright Page;5
4;Table of Contents;10
5;PREFACE;8
6;CHAPTER 1. ON THE ORTHOGONAL COLLOCATION AND MATHEMATICAL PROGRAMMING APPROACH FOR STATE CONSTRAINED OPTIMAL CONTROL PROBLEMS;12
6.1;INTRODUCTION;12
6.2;STATEMENT OF THE PROBLEMAND ITS SOLUTION;12
6.3;CONCLUSIONS;14
6.4;REFERENCES;15
6.5;APPENDIX I;15
6.6;APPENDIX II;15
7;CHAPTER 2. A DECENTRALIZED CLOSED-LOOP SOLUTION TO THE ROUTING PROBLEM IN NETWORKS;20
7.1;INTRODUCTION;20
7.2;THE ROUTING PROBLEM;21
7.3;SOLUTION OF THE ROUTING PROBLEM;22
7.4;STRUCTURE OF THE OPTIMAL CONTROL STRATEGY;23
7.5;RECEDING-HORIZON AND INFINITE-HORIZON SOLUTION;26
7.6;CONCLUSIONS;27
7.7;REFERENCES;27
8;CHAPTER 3. AN INEXACT CONTINUOUS METHOD IN COMPLEMENTARITY PROBLEMS;30
8.1;INTRODUCTION;30
8.2;THE ALGORITHM;32
8.3;NUMERICAL EXPERIENCE;34
8.4;SOME REMARKS AND CONCLUSIONS;36
8.5;REFERENCES;36
9;CHAPTER 4. ON THE COMPUTATION OF OPTIMAL NONLINEAR FEEDBACK CONTROLS;38
9.1;INTRODUCTION;38
9.2;OPTIMAL FEEDBACK CONTROL LAW;38
9.3;REFERENCES;41
10;CHAPTER 5. ON THE APPLICATION OF SEQUENTIAL QUADRATIC PROGRAMMING TO STATE CONSTRAINED OPTIMAL CONTROL PROBLEMS;42
10.1;I. INTRODUCTION;42
10.2;II. SEQUENTIAL QUADRATIC PROGRAMMING IN BANACH SPACES;42
10.3;III. APPLICATION TO OPTIMAL CONTROL PROBLEMS;44
10.4;IV. EXPERIMENTAL NUMERICAL IMPLEMENTATION OF THE METHOD;47
10.5;V. FINAL REMARKS;49
10.6;REFERENCES;49
11;CHAPTER 6. RESTARTING TECHNIQUES IN NON LINEAR PROGRAMMING ALGORITHMS FOR OPTIMAL CHEMICAL PLANT CONTROL;52
11.1;INTRODUCTION;52
11.2;SECTION 1;52
11.3;SECTION 2;54
11.4;SECTION 3;54
11.5;CONCLUSIONS;55
11.6;REFERENCES;55
12;CHAPTER 7. COMPUTER AIDED DESIGN OF REGULATORS USING MULTIOBJECTIVE OPTIMIZATION;58
12.1;INTRODUCTION;58
12.2;STRATEGIES FOR MULTIOBJECTIVE OPTIMIZATION;58
12.3;PROBLEM FORMULATION;60
12.4;IMPLEMENTATION DETAILS;62
12.5;CONCLUDING REMARKS;63
12.6;ACKNOWLEDGMENTS;63
12.7;REFERENCES;63
13;CHAPTER 8. OPTIMAL CONTROL PROBLEMS TREATED WITH ALGORITHMS OF LINEAR AND NONLINEAR PROGRAMMING;64
13.1;INTRODUCTION;64
13.2;OPTIMIZATION OF LINEAR CONTROL SYSTEMS;64
13.3;NETWORK METHOD FOR SOLVING NONLINEAR EXTRENAL PROBLEMS;65
13.4;LINEAR CONTROL SYSTEMS LITH NONLINEAR INPUT;67
13.5;SOFTWARE PACKAGES "ADAPTIVE OPTIMIZATION-I,II";68
13.6;REFERENCES;69
14;CHAPTER 9. APPLICATION OF METHODS FOR SOLVING SPECIAL NONLINEAR PROGRAMMING PROBLEMS TO OPTIMIZATION OF CONTROL SYSTEMS;70
14.1;THE OPTIEAL CONTROL PROBLEM FOR LINEAR CONTINUOUS SYSTEM;70
14.2;LINEAR OPTIMIZATION PROBLEMS IN THE CASS OF IMPLUSE CONTROLS;71
14.3;LINEAR MXMIN OPTIMAL CONTROL PROBLEM;73
14.4;REFERENCES;75
15;CHAPTER 10. OPTIMIZATION PROBLEMS ARISING IN CONTROL SYSTEMS DESIGN;76
15.1;INTRODUCTION;76
15.2;OBTAINING A STABLE DESIGN USING -OPTIMIZATION;77
15.3;ALGORITHM FOR DETERMINATION OF A STABILIZING CONTROL LAW;78
15.4;SUMMARY;79
15.5;REFERENCES;80
16;CHAPTER 11. ON THE USE OF NONLINEAR PROGRAMMING IN REAL TIME CONTROL IN PROCESS INDUSTRIES;82
16.1;INTRODUCTION;82
16.2;ON LINE OPTIMIZATION OF INDUSTRIAL PLANTS;82
16.3;PLANT MODEL AND MATHEMATICAL PROGRAMMING TECHNIQUES;83
16.4;DESIRABLE FEATURES OF NLP SOFTWARE;85
16.5;ON LINE OPTIMIZATION SOFTWARE;86
16.6;CONCLUSIONS;86
16.7;ACKNOWLEDGEMENTS;88
16.8;REFERENCES;88
17;CHAPTER 12. OPTIMAL CONTROL OF A HIGH PERFORMANCE WIND TUNNEL;90
17.1;INTRODUCTION;90
17.2;THE PROBLEM AND ITS APPROXIMATE SOLUTION;91
17.3;CONTROL ANALYSIS;92
17.4;CONCLUSIONS;94
17.5;REFERENCES;94
18;CHAPTER 13. THE ELLIPSOID ALGORITHM: A NEW METHOD FOR FEEDBACK GAIN OPTIMIZATION;96
18.1;1. INTRODUCTION;96
18.2;2. FORMULATION OF THE NONLINEAR PROGRAMMING PROBLEM;97
18.3;3. OUTLINE OF THE ELLIPSOID ALGORITHM;97
18.4;4. APPLICATION OF TEE ELLIPSOID ALGORITHM TO THE PROBLEM;98
18.5;5. TEST PROBLEMS;98
18.6;6. ELLIPSOID ALGORITHM RESULTS;99
18.7;7. COMPARISON WITH OTHER SOLUTION METHODS;99
18.8;8. SENSITIVITY TO STARTING CONDITIONS;100
18.9;9. CONCLUSIONS;100
18.10;REFERENCES;100
19;CHAPTER 14. BOUNDARY CONTROL OF HYPERBOLIC SYSTEMS AND HOMOGENIZATION THEORY;106
19.1;INTRODUCTION;106
19.2;1. BOUNDARY CONTROL OF HYPERBOLIC SYSTEMS. NEUMANN BOUNDARY CONTROL;106
19.3;2. COMPOSITE MATERIALS WITH PERIODIC STRUCTURE. HOMOGENIZED OPERATOR;108
19.4;3. BOUNDARY CONTROL OF A COMPOSITE MATERIAL;109
19.5;4. SKETCH OF THE PROOF OF THEOREM;110
19.6;5. VARIOUS REMARKS;112
19.7;CONCLUSION;112
19.8;REFERENCES;112
20;CHAPTER 15. NUMERICAL PROBLEMS INVOLVED IN FINDING OPTIMAL CONTROL STRATEGIES BY NONLINEAR PROGRAMMING TECHNIQUES;114
20.1;INTRODUCTION;114
20.2;DEFINITION OF TWO TEST PROBLEMS;115
20.3;CHOICE OF BASIS FUNCTIONS;115
20.4;INTEGRATION OF ORDINATY DIFFERENTIAL EQUATIONS;116
20.5;COMPUTATION OF THE DEFINITE INTEGRALS;116
20.6;MINIMIZATION ALGORITHM;117
20.7;TWO POINTS BOUNDARY VALUE PROBLEM SOLVER;117
20.8;RESULTS OF NUMERICAL EXPERIMENTS;117
20.9;CONCLUSIONS;120
20.10;ACKNOWLEDGEMENT;120
20.11;REFERENCES;120
21;CHAPTER 16. OPTIMAL CONTROL AND STOCHASTIC CONTROL POLICIES IN MINERAL AND METALLURGICAL PROCESSING;122
21.1;INTRODUCTION;122
21.2;STATISTICAL CONTROL;122
21.3;OPTIMAL, STOCHASTIC AND STATISTICAL CONTROL;124
21.4;CONTROL POLICIES FOR A PYRITES PLANT;125
21.5;CONTROL POLICIES FOR A FLOTATION PLANT;127
21.6;CONCLUSIONS;129
21.7;REFERENCES;129
22;CHAPTER 17. APPROXIMATION OF THE STACKELBERG PROBLEM AND APPLICATIONS IN CONTROL THEORY;132
22.1;INTRODUCTION;132
22.2;ASSUMPTIONS AND CONVERGENCE RESULTS;133
22.3;CONSTRAINED LINEAR QUADRATIC DYNAMIC GAMES;133
22.4;APPLICATION TO A DISCRETIZATION METHOD;134
22.5;REFERENCES;135
23;CHAPTER 18. COMPUTATION OF OPEN-LOOP SOLUTIONS FOR ZERO-SUM DIFFERENTIAL GAMES BY PARAMETRIZATION;136
23.1;INTRODUCTION;136
23.2;THE DIFFERENTIAL GAME AND ITS SOLUTION;136
23.3;CALCULATION OF OPTIMAL OPENLOOP CONTROLS BY PARAMETRIZATION;137
23.4;NUMERICAL RESULTS;138
23.5;CONCLUDING REMARKS;139
23.6;ACKNOWLEDGEMENT;139
23.7;REFERENCES;139
24;CHAPTER 19. NUMERICAL TREATMENT OF MINIMAX CONTROL PROBLEMS BY MULTIPLE SHOOTING;142
24.1;INTRODUCTION;142
24.2;THE NECESSARY CONDITIONS FOR MINIMAX PROBLEMS;142
24.3;CONSTRUCTION OF THE BVP; SINGULAR CASE;144
24.4;NUMERICAL TREATMENT OF THE BVPS BY MULTIPLE SHOOTING TECHNIQUE;145
24.5;EXAMPLE: OPTIMAL CEBYSEV-CONTROL FOR A LIFTING REENTRY SPACE VEHICLE;146
24.6;EXAMPLE: OPTIMAL HEATING AND COOLING OF A HOUSE;147
24.7;CONCLUSION;149
24.8;REFERENCES;149
25;CHAPTER 20. OPTIMAL AIRCRAFT LANDING-APPROACH TRAJECTORIES: A COMPARISON OF TWO DYNAMIC MODELS;150
25.1;INTRODUCTION;150
25.2;PROBLEM FORMULATION;150
25.3;CHOICE OF METHOD;151
25.4;RESULTS;151
25.5;CONCLUSIONS AND DISCUSSION;156
25.6;ACKNOWLEDGEMENT;156
25.7;REFERENCES;156
26;CHAPTER 21. A SELF-TUNING ROBUST CONTROLLER FOR SEMILINEAR PARABOLIC SYSTEMS;158
26.1;1. INTRODUCTION;158
26.2;2. THE SYSTEM;158
26.3;3. MEASUREMENT OF THE OPERATOR L;164
26.4;4. ON OPTIMAL TUNING;164
26.5;REFERENCES;167
27;CHAPTER 22. A COMPUTATIONAL STUDY OF ACTIVE-SET LOGICS FOR NONLINEAR PROGRAMMING;168
27.1;INTRODUCTION;168
27.2;PROCEDURES;169
27.3;RESULTS AND DISCUSSION;170
27.4;CONCLUDING REMARKS;171
27.5;REFERENCES;171
27.6;23. SOFTWARE FOR OPTIMAL CONTROL OF DYNAMIC SYSTEMS;182
27.7;INTRODUCTION;182
27.8;THE PROBLEM FORMULATION FOR OPT-DYNSYS PROGRAM;182
27.9;DESCRIPTION OF THE PROGRAM OPT-DYNSxS;183
27.10;INPUT / OUTPUT PROGRAM DATA;184
27.11;NUMERICAL RESULTS;184
27.12;CONCLUSIONS;185
27.13;REFERENCES;185
28;CHAPTER 24. MULTIOBJECTIVE INSENSITIVE COMPUTER-AIDED DESIGN OF AEROSPACE CONTROL SYSTEMS;188
28.1;INTRODUCTION;188
28.2;PRELIMINARY REMARKS;188
28.3;DESCRIPTION OF METHODS;189
28.4;RESULTS AND DISCUSSION;191
28.5;CONCLUDING REMARKS;194
28.6;REFERENCES;195
29;CHAPTER 25. INTERACTION, SPECIFICATION REFINEMENT, AND TRADEOFF EXPLORATION IN OPTIMIZATION-BASED DESIGN OF ENGINEERING SYSTEMS;200
29.1;BACKGROUND: AN APPLICATION-ORIENTED DESIGN METHODOLOGY;200
29.2;NEED FOR INTERACTION;201
29.3;ESTIMATING THE SOLUTION;202
29.4;TRADEOFF EXPLORATION;202
29.5;THE ECOMB GRAPHICAL DISPLAY;203
29.6;CONCLUSION;204
29.7;ACKNOWLEDGMENTS;204
29.8;REFERENCES;204
30;CHAPTER 26. MINIMUM-TIME CONTROL OF A TWO-LINK ROBOT ARM;206
30.1;INTRODUCTION;206
30.2;EQUATIONS OF MOTION;206
30.3;THE MINIMUM-TIME PROBLEM;207
30.4;THE ACW GRADIENT ALGORITHM;207
30.5;MINIMUM-TIME PATHS FOR A TYPICAL ARM/PAYLOAD COMBINATION;208
30.6;IS THE SOLUTION ALWAYS BANG-BANG?;209
30.7;CHECKING THE SOLUTIONS;209
30.8;DISCUSSION OF SOLUTIONS;210
30.9;SUGGESTIONS FOR FURTHER RESEARCH;210
30.10;REFERENCES;210
31;CHAPTER 27. OPTIMAL CONTROL OF XENON OSCILLATIONS IN LOAD FOLLOW OF A LARGE NUCLEAR REACTOR;212
31.1;INTRODUCTION;212
31.2;DYNAMIC MODEL AND ITS SIMPLIFICATION;212
31.3;APPLICATION OF THE COMBINATION METHOD;214
31.4;NUMERICAL DESIGN EXAMPLE;215
31.5;CONCLUSIONS;216
31.6;REFERENCES;216
32;AUTHOR INDEX;220