Computational optimal control [papers from a workshop on Control Applications of Optimization, which took place at the Fachhochschule München in September 1992

Resources should be used sparingly both from a point of view of economy and eco­ logy. Thus in controlling industrial, economical and social processes, optimization is the tool of choice. In this area of applied numerical analysis, the INTERNATIONAL FEDERATION OF AUTOMATIC CONTROL (IFAC) acts as a link between research groups in universities, national research laboratories and industry. For this pur­ pose, the technical committee Mathematics of Control of IFAC organizes biennial conferences with the objective of bringing together experts to exchange ideas, ex­ periences and future developments in control applications of optimization. There should be a genuine feedback loop between mathematicians, computer scientists, engineers and software developers. This loop should include the design, application and implementation of algorithms. The contributions of industrial practitioners are especially important. These proceedings contain selected papers from a workshop on CONTROL Ap­ PLICATIONS OF OPTIMIZATION, which took place at the Fachhochschule Miinchen in September 1992. The workshop was the ninth in a series of very successful bien­ nial meetings, starting with the Joint Automatic Control Conference in Denver in 1978 and followed by conferences in London, Oberpfaffenhofen, San Francisco, Ca­ pri, Tbilisi and Paris. The workshop was attended by ninety researchers from four continents. This volume represents the state of the art in the field, with emphasis on progress made since the publication of the proceedings of the Capri meeting, edited by G. di Pillo under the title 'Control Applications of Optimization and Nonlinear Programming'. Front Matter....Pages i-x Front Matter....Pages 1-1 Issues in the Direct Transcription of Optimal Control Problems to Sparse Nonlinear Programs....Pages 3-17 Optimization in Control of Robots....Pages 19-28 Large-scale SQP Methods and their Application in Trajectory Optimization....Pages 29-42 Solving Optimal Control and Pursuit-Evasion Game Problems of High Complexity....Pages 43-61 Front Matter....Pages 63-63 Continuation Methods in Boundary Value Problems....Pages 65-70 Second Order Optimality Conditions for Singular Extremals....Pages 71-81 Synthesis of Adaptive Optimal Controls for Linear Dynamic Systems....Pages 83-88 Control Applications of Reduced SQP Methods....Pages 89-104 Time Optimal Control of Mechanical Systems....Pages 105-114 Front Matter....Pages 115-115 Second Order Algorithm for Time Optimal Control of a Linear System....Pages 117-126 An SQP-type Solution Method for Constrained Discrete-Time Optimal Control Problems....Pages 127-136 Numerical Methods for Solving Differential Games, Prospective Applications to Technical Problems....Pages 137-145 Construction of the Optimal Feedback Controller for Constrained Optimal Control Problems with Unknown Disturbances....Pages 147-162 Repetitive Optimization for Predictive Control of Dynamic Systems under Uncertainty....Pages 163-175 Optimal Control of Multistage Systems Described by High-Index Differential-Algebraic Equations....Pages 177-191 A New Class of a High Order Interior Point Method for the Solution of Convex Semiinfinite Optimization Problems....Pages 193-211 A Structured Interior Point SQP Method for Nonlinear Optimal Control Problems....Pages 213-222 Front Matter....Pages 223-223 Automated Approach for Optimizing Dynamic Systems....Pages 225-235 ANDECS: A Computation Environment for Control Applications of Optimization....Pages 237-254 Application of Automatic Differentiation to Optimal Control Problems....Pages 255-267 Front Matter....Pages 223-223 OCCAL A Mixed Symbolic-Numeric Optimal Control CALculator....Pages 269-278 Front Matter....Pages 279-279 A Robotic Satellite with Simplified Design....Pages 281-290 Nonlinear Control under Constraints of a Biological System....Pages 291-301 An Object-Oriented Approach to Optimally Describe and Specify a SCADA System....Pages 303-318 Near-Optimal Flight Trajectories Generated by Neural Networks....Pages 319-328 Performance of a Feedback Method with Respect to Changes in the Air-Density during the Ascent of a Two-Stage-To-Orbit Vehicle....Pages 329-338 Linear Optimal Control for Reentry Flight....Pages 339-348 Steady-State Modelling of a Turbine Engine with Controllers....Pages 349-355 Shortest Paths for Satellite Mounted Robot Manipulators....Pages 357-366 Optimal Control of the Industrial Robot Manutec r3....Pages 367-382 Back Matter....Pages 383-388 There is public agreement that all resources should be used sparingly both from the point of view of economy and ecology. Therefore optimization is the tool of choice in controlling industrial and economic processes. This book collects the reviewed papers of the ninth IFAC Workshop on Control Applications of Optimization, which took place in Munich in September 1992. Highlights from the ensuing discussions have been incorporated by the authors. The volume reflects the state of the art in the application of finite and infinite dimensional optimization to open and closed loop control problems. Its spectrum ranges from the- oretical foundations of the proposed methods and numerical implementations of algorithms to applications to real world problems. Emphasis lies on the solution of practical industrial problems in aerospace, mechanical and electrical engineer- ing, manufacturing technology and economic and manage- ment systems. Among the theoretical papers are contributions from non- linear programming (interior point methods, large structured problems, nonsmooth problems, and vector-valued criteria) and optimal control (multipoint boundary value problems, state and control constraints, feedback solutions, differen- tial-algebraic systems and differential games).