Distributed Parameter Control Systems
Theory and Application
- 1st Edition - January 1, 1982
- Imprint: Pergamon
- Editor: Spyros G. Tzafestas
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 1 - 1 4 9 6 - 5
- eBook ISBN:9 7 8 - 1 - 4 8 3 1 - 4 7 3 8 - 3
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… Read more
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Request a sales quoteDistributed 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.
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
- Edition: 1
- Published: January 1, 1982
- No. of pages (eBook): 524
- Imprint: Pergamon
- Language: English
- Paperback ISBN: 9781483114965
- eBook ISBN: 9781483147383
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