Optimal Control of Induction Heating Processes

INTRODUCTION TO THEORY AND INDUSTRIAL APPLICATION OF INDUCTION HEATING PROCESSES Short Description of Operating Principles of Induction Heaters on the Level of Basic Physical Laws Mathematical modeling of Induction Heating Processes Typical Industrial Applications and Fundamental Principles of Induction Mass Heating Design Approaches of Induction Mass Heating Technological Complex "Heater-Equipment for Metal Hot Working" Technological and Economic Advantages of Induction Heating OPTIMIZATION PROBLEMS FOR INDUCTION HEATING PROCESSES Overview of Induction Heating Prior to Metal Hot Working Operations as a Process under Control Cost Criteria Mathematical Models of a Heating Process Control Inputs Constraints Disturbances Requirements of Final Temperature Distribution within Heated Workpieces General Problem of Time-Optimal Control Model Problems of Optimal Control Respective to Typical Cost Functions METHOD FOR COMPUTATION OF OPTIMAL PROCESSES FOR INDUCTION HEATING OF METALS Universal Properties of Temperature Distribution within Workpieces at End of Time-Optimal Induction Heating Processes Extended Discussion on Properties of Final Temperature Distribution for Time-Optimal Induction Heating Processes Typical Profiles of Final Temperature Distribution and Set of Equations for Computation of Optimal Control Parameters Computational Technique for Time-Optimal Control Processes Application of Suggested Method to Model Problems Based on Typical Cost Functions Examples General Problem of Parametrical Optimization of Induction Heating Processes OPTIMAL CONTROL OF THE STATIC INDUCTION HEATING PROCESSES Time-Optimal Control for Linear One-Dimensional Models of Static IHP with Consideration of Technological Restraints Time-Optimal Problem, Taking into Consideration Billet Transportation to Metal Forming Operation Time-Optimal Heating under Incomplete Information with Respect to Controlled System Heating Process with Minimum Product Cost Optimal Control of Multidimensional Linear Models of Induction Heating Processes Optimal Control for Complicated Models of the Induction Heating Process OPTIMAL CONTROL OF PROGRESSIVE AND CONTINUOUS INDUCTION HEATING PROCESSES Optimization of Continuous Heaters at Steady-State Operating Conditions Optimization of Progressive Heaters at Steady-State Operating Conditions COMBINED OPTIMIZATION OF PRODUCTION COMPLEX FOR INDUCTION BILLET HEATING AND SUBSEQUENT METAL HOT FORMING OPERATIONS Mathematical Models of Controlled Processes General Problem of Optimization of a Technological Complex Maximum Productivity Problem for an Industrial Complex "Induction Heater-Extrusion Press" Multiparameter Statement of the Optimization Problem for Technological Complex "Heating-Hot Forming" Combined Optimization of Heating and Pressing Modes for Aluminum Alloy Billets About Optimal IHI Design in Technological Complex "Heating - Hot Forming" Conclusion Index *Each chapter contains References for further study

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