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E-book
Author Chen, Bor-Sen

Title Robust Engineering Designs of Partial Differential Systems and Their Applications
Published Milton : Taylor & Francis Group, 2022

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Description 1 online resource (459 p.)
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
Summary "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"-- Provided by publisher
Notes Description based upon print version of record
Subject Reliability (Engineering) -- Mathematics
Fuzzy systems -- Design
Differential equations, Partial.
Form Electronic book
ISBN 9781000514063
1000514064