Robust engineering designs of partial differential systems and their applications /

"This book focuses on partial differential systems (PDS) from an engineering perspective covering robust stabilization control, filter, and reference tracking design in signal processing, control, and biological systems"--

Bibliographic Details
Main Author:	Chen, Bor-Sen (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL ; Abingdon, Oxon : CRC Press, 2022.
Edition:	First edition.
Subjects:	Reliability (Engineering) > Mathematics. Fuzzy systems > Design. Differential equations, Partial. Fiabilité > Mathématiques. Équations aux dérivées partielles. MATHEMATICS / Applied MATHEMATICS / Differential Equations TECHNOLOGY / Electricity Differential equations, Partial Fuzzy systems > Design Reliability (Engineering) > Mathematics Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

5.2 Mathematical Model and Synchronization Error Dynamic
5.3 Synchronization and Robust H[sub(∞)] Synchronization of Coupled PDSs with Constant Coefficients
5.4 Asymptotical Synchronization and H[sub(∞)] Synchronization of N-Coupled PDSs with Space-Dependent Coefficients
5.5 H[sub(∞)] Synchronization Criteria Based on LMI
5.6 Numerical Examples
5.7 Conclusion
PART III: Robust Control System Design
Chapter 6 Robust Stabilization Control Design of Large Structural Systems under Mode Truncation, Parameter Perturbations and Actuator Saturations
6.1 Introduction
6.2 Mathematical Notations and Preliminaries
6.3 System Description of LSS
6.4 Stabilization of LSS with Parameter Variations
6.4.1 Extension to Structural Models with Coupled Modes
6.5 Stabilization of LSS with Constrained Controls
6.6 Controller Synthesis
6.7 Simulation Examples
6.8 Conclusions
6.9 Appendix
6.9.A Proof of Theorem 6.4.1
6.9.B Proof of Theorem 6.5.1
Chapter 7 Robust Observer-Based Output Feedback Control Design of Large Flexible Structures: Mode State-Space Approach and Frequency Domain Robustness Measurement Method
7.1 Introduction
7.2 The Mathematical Model
7.3 Problem Formulation
7.4 Robust Stabilization with Respect to Control/Observation Spillover
7.5 Robust Stabilization with Respect to the Total Spillover
7.6 Example: Modal Control of a Simply Supported Beam
7.7 Conclusion
7.8 Appendix
7.8.A Proof of Theorem 7.4.1
7.8.B Proof of Theorem 7.4.2
7.8.C Proof of Theorem 7.4.3
Chapter 8 Robust Stabilization Design for Stochastic Linear Partial Differential Systems under Spatiotemporal Disturbances and Sensor Measurement Noises
8.1 Introduction
8.2 A General H[sub(∞)] Stabilization Setting for Linear Stochastic Partial Differential Systems.
8.3 Implementable H[sub(∞)] Stabilization for Stochastic Partial Differential Systems
8.4 Simulation Example
8.5 Conclusion
Chapter 9 Fuzzy State-Space Modeling and Robust Observer-Based Control Design for Nonlinear Partial Differential Systems
9.1 Introduction
9.2 Problem Formulation
9.3 System Representation by Fuzzy State Space Model
9.3.1 Approximation of Nonlinear Partial Differential Systems by Fuzzy Partial Differential Systems
9.3.2 Infinite-Dimensional T-S Fuzzy State-Space Model of NPDS
9.4 Robust Fuzzy Observer-Based Control Design of Nonlinear Partial Differential Systems
9.4.1 Robust Stabilization of Nonlinear Partial Differential Systems
9.4.2 Fuzzy H[sub(∞)] Observer-Based Control Design for Nonlinear Partial Differential Systems
9.5 Simulation Example
9.6 Conclusion
Chapter 10 Robust Tracking Control Design of Nonlinear Distributed Parameter Time-Delayed Systems
10.1 Introduction
10.2 Reference Tracking Control Problem Formulation for Nonlinear Distributed Parameter Time-Delayed Systems
10.3 System Representation by Fuzzy Spatial State Space Model
10.4 Robust Fuzzy Observer-Based Tracking Control Design
10.4.1 Robust H[sub(∞)] Fuzzy Observer-Based Tracking Control Design
10.4.2 Solving Robust H[sub(∞)] Tracking Control Problem via Linear Matrix Inequality
10.5 An Application to Tracking Control of Hodgkin-Huxley Nervous Systems
10.6 Conclusion
Chapter 11 Robust Stabilization Control Design of Nonlinear Stochastic Partial Differential Systems
11.1 Introduction
11.2 System Description and Problem Formulation
11.2.1 Stochastic Stability of NSPDSs
11.2.2 Stochastic H[sub(∞)] Stabilization Control for NSPDSs
11.3 System Representation by Fuzzy Spatial State Space Model
11.4 Robust Stabilization Design for Nonlinear Stochastic Partial Differential Systems.
11.4.1 Robust Fuzzy Estimator-Based Stabilization Control Design
11.4.2 LMI Approach for Solving the Robust Stochastic H[sub(∞)] Stabilization Control Problem
11.5 Simulation Example
11.6 Conclusion
Chapter 12 Robust Fuzzy H[sub(∞)] Estimator-Based Stabilization Design for Nonlinear Parabolic Partial Differential Systems with Different Boundary Conditions
12.1 Introduction
12.2 Preliminaries and Problem Formulation
12.3 Robust Fuzzy Estimator-Based Controller Design
12.4 Robust Fuzzy H[sub(∞)] Estimator-Based Stabilization Design via Bilinear Matrix Inequalities
12.5 LMI Approach for Solutions to Robust Fuzzy H[sub(∞)] Estimator-Based Stabilization Design
12.6 Simulation Example
12.7 Conclusion
Chapter 13 Low Design-Cost Fuzzy Controllers for Robust Stabilization of Nonlinear Partial Differential Systems
13.1 Introduction
13.2 System Description and Problem Formulation
13.3 Robust Fuzzy H[sub(∞)] Stabilization Design via Robust Fuzzy Full-Controller
13.4 Low Design-Cost Robust Fuzzy Area-Controller for Robust Fuzzy H[sub(∞)] Stabilization Design
13.5 Low Design-Cost Robust Fuzzy Point-Controller for Robust Fuzzy H[sub(∞)] Stabilization Design
13.6 Simulation Example
13.7 Conclusion
References
Index.