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Multiobjective optimization in the parameterization of gas heating devices / vorgelegt von Tobias Suszka. Wuppertal, Oktober 2024
Content
List of Tables
List of Figures
Abbreviations and Acronyms
Introduction
Technical and Mathematical Foundations
Technical Background
Basics of Control Theory
Basics of Combustion
Combustion Control System IoniDetect
Mathematical Heat Engine Model
ADA: Automatic Drift Adaption
Modeling of Drift
The Notion of ADA
Sequence of ADA Iterations
Plurality of ADA Pairs
Goal of This Thesis: Optimize ADA Parameters
Basic Mathematical Concepts
Multiobjective Optimization
Evolutionary Multiobjective Optimization
Fixed Point Iteration Procedures
Mathematical Analysis of ADA
Mathematical Formulation of ADA
Formalism: Required Sets and Functions
The ADA Algorithm
ADA Procedure with a Single ADA Pair
Ioni Current Based ADA Algorithm with a Single ADA Pair
Resistance Based Iteration Function with a Single ADA Pair
Convergence Characteristics of the Picard Iteration Associated to the Drift Resistance Iteration Function
Conclusion of Analysis with Respect to a Single ADA Pair
ADA Procedure with a Plurality of ADA Pairs
The Super Fixed Point Vector
Resistance Based Approach
Convergence Characteristics of the ADA Algorithm with a Plurality of ADA Pairs
Approximation Quality: Relation Between the Drift Resistance and the Super Fixed Point Vector
Conclusion and Considerations for Optimization
Optimization of the ADA Parameters
Optimization Models
Description of the ADA Optimization Problem
Convergence Related Requirements
Optimization Objective: Fast Rate of Convergence
Conflicting Objectives: Small Lp Versus a Small Start Point Increment of ADA Pair p
Constraints
Optimization Model for the Nominal Case Without Tolerances
Optimization Model for the Case with Tolerances
Comparison of the Two Optimization Models
Solving the ADA Optimization Problems
Solving the Nominal ADA Optimization Problem
Solving the ADA Optimization Problem with Tolerances
Conclusion
Bibliography
Examples with Respect to the ADA Iteration Functions