Distributed Parameter Control Systems

Distributed Parameter Control Systems

Theory and Application

1st Edition - January 1, 1982

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  • Editor: Spyros G. Tzafestas
  • eBook ISBN: 9781483147383

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Description

Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems. The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning. Five applications works include chemical reactors, heat exchangers, petroleum reservoirs/aquifers, and nuclear reactors. The text will be a useful reference for both graduate students and professional researchers working in the field.

Table of Contents


  • 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


Product details

  • No. of pages: 524
  • Language: English
  • Copyright: © Pergamon 1982
  • Published: January 1, 1982
  • Imprint: Pergamon
  • eBook ISBN: 9781483147383

About the Editor

Spyros G. Tzafestas

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