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Multi-stage and multi-time scale feedback control of linear systems with applications to fuel cells

Author: Verica Radisavljević-Gajić; Miloš Milanović; Patrick Rose
Publisher: Cham, Switzerland : Springer, [2019]
Series: Mechanical engineering series (Berlin, Germany)
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book provides a comprehensive study of multi-stage and multi-time scale design of feedback controllers for linear dynamic systems. It examines different types of controllers as can be designed for different parts of the system (subsystems) using corresponding feedback gains obtained by performing calculations (design) only with subsystem (reduced-order) matrices.The advantages of the multi-stage/multi-time  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Radisavljević-Gajić, Verica
Multi-Stage and Multi-Time Scale Feedback Control of Linear Systems with Applications to Fuel Cells
Cham : Springer,c2019
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Verica Radisavljević-Gajić; Miloš Milanović; Patrick Rose
ISBN: 9783030103897 3030103897
OCLC Number: 1088322306
Notes: Description based upon print version of record.
8.2.2 Reduced-Order Observer Design
Description: 1 online resource (xi, 214 pages).
Contents: Intro; Preface; Contents; Chapter 1: Introduction; 1.1 General Remarks; 1.2 Applications to Other Classes of Dynamic Systems; 1.3 Improved System Robustness, Reliability, and Security; 1.4 Book Organization; 1.5 Notes; Chapter 2: Continuous-Time Two-Stage Feedback Controller Design; 2.1 Two-Stage Design of Linear Feedback Controllers; 2.2 Two-Stage Feedback Design for Systems with Slow and Fast Modes; 2.3 Two-Stage Control of a Hydrogen Gas Reformer Slow-Fast Dynamics; 2.3.1 Hydrogen Gas Reformer Operation and Modeling; 2.3.2 Eigenvalue Assignment for the Hydrogen Gas Reformer 2.3.3 Optimal Slow and Eigenvalue Assigned Fast Subsystems2.4 Two-Stage Feedback Control of a Two-Time-Scale PEM Fuel Cell; 2.4.1 PEM Fuel Cell Dynamics Mathematical Model; 2.4.2 Two-Time-Scale Structure of the PEM Fuel Cell; 2.4.3 PEM Fuel Cell Slow-Fast Two-Stage Controller Design Simulation; 2.5 PEM Fuel Cell Observer Design; 2.6 Notes; Chapter 3: Discrete-Time Two-Stage Feedback Controller Design; 3.1 Discrete-Time Two-Stage Feedback Controller Design; 3.2 Slow-Fast Design for Systems Defined in the Slow Time Scale; 3.2.1 Example: A Power System 3.3 Slow-Fast Design for Systems Defined in the Fast Time Scale3.3.1 Example: A Steam Power System; 3.4 Notes; Chapter 4: Three-Stage Continuous-Time Feedback Controller Design; 4.1 Introduction; 4.2 Three-Stage Design of Continuous-Time Feedback Controllers; 4.3 Three-Stage Three-Time Scale Linear Control Systems; 4.4 Application to a Proton Exchange Membrane Fuel Cell; 4.5 Notes; Chapter 5: Three-Stage Discrete-Time Feedback Controller Design; 5.1 Three-Stage Discrete-Time Linear Feedback Controllers; 5.2 Three-Stage Three-Time Scale Discrete Linear Control Systems 5.3 Future Research TopicsChapter 6: Four-Stage Continuous-Time Feedback Controller Design; 6.1 Introduction; 6.2 Four-Stage Design of Continuous-Time Feedback Controllers; 6.3 Four-Stage Four-Time Scale Linear Control Systems; 6.4 Future Research Topics; Chapter 7: Modeling and System Analysis of PEM Fuel Cells; 7.1 Third-Order Linear Model of a PEM Fuel Cell; 7.1.1 Controllability of the Linear PEM Fuel Cell Model; 7.1.2 System Analysis and Constraints of the PEMFC Model; Steady-State Constraints; Initial Conditions and Time Constraints; 7.2 Third-Order Bilinear PEM Fuel Cell Model 7.2.1 Steady-State PEM Fuel Cell Equilibrium Points7.2.2 Fuel Cell System Stability Analysis; 7.2.3 PEM Fuel Cell Controllability and Observability Analysis; 7.2.4 Simulation Results; 7.3 Greenlight Innovation G60 Station with TP50 PEMFC; 7.3.1 TP50 PEMFC Modeling; 7.3.2 Simulation Results; 7.4 A Fifth-Order Nonlinear PEMFC Model; 7.5 Eight-Order Mathematical Model of a PEMFC Used in Electric Cars; 7.6 Notes; Chapter 8: Control of a Hydrogen Gas Processing System; 8.1 Introduction; 8.2 Full- and Reduced-Order Observer and Optimal Controllers; 8.2.1 Full-Order Observer Design
Series Title: Mechanical engineering series (Berlin, Germany)
Responsibility: Verica Radisavljević-Gajić, Miloš Milanović, Patrick Rose.

Abstract:

This book provides a comprehensive study of multi-stage and multi-time scale design of feedback controllers for linear dynamic systems. It examines different types of controllers as can be designed for different parts of the system (subsystems) using corresponding feedback gains obtained by performing calculations (design) only with subsystem (reduced-order) matrices.The advantages of the multi-stage/multi-time scale design are presented and conditions for implementation of these controllers are established. Complete derivations and corresponding design techniques are presented for two-stage/two-time-scale, three-stage/three-time scale, and four-stage/four-time-scale systems. The techniques developed have potential applications to a large number of real physical systems. The design techniques are demonstrated on examples of mathematical models of fuel cells, especially the proton exchange membrane fuel cell. Explains how different types of controllers can be designed for different parts of the system (subsystems) using feedback gains obtained by calculations (design) with only subsystem (reduced‐order) matrices; Illustrates a reduction of computational requirements because all numerical operations are done with matrices of the reduced‐order corresponding to the subsystems; Details how very accurate computations are performed with well‐conditioned lower‐order matrices; Discusses steps to facilitate robustness and reliability as well as improved feedback control loop security, important for cyber physical systems.

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