Distributed Parameter Control Systems

Contributors

Editorial Introduction

Part I Theory

Chapter 1 Hybrid Simulation of Distributed Parameter Systems

Introduction

Distributed-Parameter Models

Hybrid Distributed-Parameter Simulation Methods

General Implementation Aspects

Stability Analysis of Hybrid Simulation Methods

Experimental Results

Conclusions

References

Chapter 2 Identification of Distributed-Parameter Systems

Introduction

Exhibition of Mathematical Models

Specific Results for Identification in Stochastic-Distributed-Parameter Systems

Conclusions

Acknowledgments

References

Chapter 3 Filtering, Smoothing, and Prediction of Distributed Parameter Systems: Survey of Rigorous Approach

Introduction

Formal Approach Based on the Wiener-Hopf Theory

Rigorous Approaches to Optimal Estimation Problems

References

Chapter 4 Some Methods for Analyzing the Stability and the Hyperstability of Distributed Parameter Systems

Foreword

Introduction

Stability and Hyperstability

Definition of Distributed Parameter Systems

A General Result on the Stability of DPS

Space Mean Square Stability Criteria for a Class of Distributed Systems with Constant Coefficients

Stability of Distributed Systems with Variable Coefficients by Reducing to Distributed Systems with Constant Coefficients

Stability Criteria for Nonlinear Distributed Systems Defined by Laplace-Green Functions

Hyperstability of Nonlinear Distributed Systems

Space Sampling Effect

Stability of DPS in the Presence of Random Disturbances

Conclusions

References

Chapter 5 Stability and Optimal Control of Stochastic Evolution Equations

Introduction

Semigroup Theory

Quadratic Cost Control Problem

Stochastic Evolution Equations

Stochastic Stability

Stochastic Quadratic Control

References

Chapter 6 Adaptive and Robustness Properties of Certain Bilinear Distributed Parameter Control Systems

Introduction

State Equations of a Class of Bilinear Distributed Parameter Systems

A Summary of Available Results in the Control of Bilinear Distributed Parameter Systems

Bilinear Control: A Tool for the Design of Adaptive and Robust Distributed Parameter Systems

Concluding Comments

References

Chapter 7 Coordinated Control of Distributed Parameter Systems

Introduction

Decomposition

Coordinated Control

Conclusion

References

Chapter 8 The Finite Element Method in Distributed Parameter Control Systems

Introduction

Construction of Finite Element(f.e.) Spaces

The Finite Element Method for Elliptic Boundary Value Problems

Finite Element Approximation for Initial Value Problems

Finite Element Applications to Control Systems

Acknowledgments

Notations for the Function Spaces Used

References

Chapter 9 Approximation Methods for Distributed Parameter Systems

Introduction

General Remarks

Some Examples

Further Examples

Concluding Remarks

Chapter 10 Selection of Measurement and Control Locations in Distributed Parameter Systems

Introduction

Control Location Problem

Sensor Location Problem

Sensor and Control Location Problem

Conclusion

References

Part II Applications

Chapter 11 Experimental Application of Distributed Parameter Control Theory

Introduction

A One-Dimensional Linear Example

A Two Dimensional Linear Example

A Moving Boundary Problem

Discussion of Practical Problems

Summary and Outlook

References

Chapter 12 Distributed Parameter Identification in Geophysics-Petroleum Reservoirs and Aquifers

Introduction

Survey of Literature in Reservoir and Aquifer Identification

Methods for Solution of the Identification Problem

Regularization Methods for the Solution of III-Posed Problems

Regularization Approach to the Identification Problem

References

Chapter 13 Identification for Distributed Parameter Chemical Engineering Systems-Fixed-Bed Tubular Reactors

Introduction

Scope of Chemical Engineering Applications

Fixed-Bed Catalytic Reactors

Steady-State Sequential Distributed Filtering

References

Chapter 14 Distributed Parameter Heat Exchangers-Modeling, Dynamics and Control

Introduction

History of Research on Modeling and Dynamics of Heat Exchangers

Modeling of Heat Exchangers

Analysis of Dynamic Behavior of Heat Exchangers

Properties of Dynamics of Heat Exchangers

Lumped Parameter Simulation of Heat Exchangers by Method of Weighted Residuals

A Survey of Research in Control Problems of Heat Exchangers

References

Bibliography of Dynamics and Control of Heat Exchangers

Chapter 15 Modeling and Control of Distributed Parameter Nuclear Reactors

Introduction

Nuclear Reactor Distributed State Equations

The Linear Stochastic Model with Control

Examples I-IV

Non-Interacting Modal Expansions

The Modal Approach to Filtering and Control

Filtering of a Liquid Metal Fast Breeder Reactor

References

Subject Index