Advances in Observer Design and Observation for Nonlinear Systems: Fundamentals and Applications

Description

This book discusses various methods for designing different kinds of observers, such as the Luenberger observer, unknown input observers, discontinuous observers, sliding mode observers, observers for impulsive systems, observers for nonlinear Takagi-Sugeno fuzzy systems, and observers for electrical machines. A hydraulic process system and a renewable energy system are provided as examples of applications. Preface Contents Observers and Observability for Continuous-Time Linear Systems 1 Introduction 2 Observability for Continuous-Time Linear Systems 2.1 Kalman Criterion 2.2 Criterion for Jordan Forms: Matrix A Diagonalizable 2.3 Difference Between Models 3 Observers for Continuous-Time Linear Systems 3.1 Preliminaries 3.2 Design of Minimal-Order Observers 3.3 Design of Full-Order Observers 4 Conclusion References Generalities on Linear Matrix Inequalities and Observer Design of Linear Systems 1 Introduction 2 Convex Analysis and Linear Matrix Inequalities 2.1 Convex Analysis 2.2 Classic LMI Problems 2.3 Writing Constraints in LMI Form 2.4 LMI Regions 2.5 Pole Placement by LMI Approach 3 Observability and Observers 3.1 Observability 3.2 Observability of Linear Systems 3.3 Observer Synthesis for a Certain Linear System 4 Observer-Based Control Via LMI Approach 5 Conclusion References Some Preliminaries on Unknown Input Observers, Discontinuous Observers and Sliding Mode Observers Design 1 Introduction 2 Unknown Input Observer 2.1 State Reconstruction by Eliminating Unknown Inputs 2.2 Reconstruction Principle 2.3 Convergence Conditions of the Observer 2.4 Resolution Methods 2.5 Linearization with Respect to Variables 2.6 Pole Placement 3 Introduction to the Development of Discontinuous Observers 4 Methods for Discontinuous Observer Design 4.1 Utkin Observer 4.2 Walcott and Żak Observer 5 Sliding Mode Observer Using a Canonical Form 5.1 Simplified Output Equation 5.2 Decoupling of the Unknown Function 6 Sliding Mode Observer 6.1 Design of Sliding Mode Observer 6.2 Sliding Mode Observer of Linear Systems 6.3 Triangular Sliding Mode Observer 7 Conclusion References Observers with Unknown Inputs of Linear Systems 1 Introduction 2 Observability 3 Observability of Linear Systems 4 Synthesis of Observers for Linear Systems Without Unknown Inputs 4.1 Luenberger Observer 4.2 Sliding Mode Observer 5 Synthesis of Observers for Linear Systems with Unknown Inputs 5.1 Utkin Sliding Mode Observer with Unknown Input 5.2 Structure of the Utkin Sliding Mode Observer with Unknown Input 6 Luenberger Observer with Unknown Input 7 Conclusion References Luenberger Observer of Impulsive Systems: A Survey 1 Introduction 2 Observability—Observers 2.1 Observability Criteria 2.2 Definition and Role of an Observer 3 The Conception of Observers for Impulsive Systems 3.1 Different Types of Continuous Observers: State of the Art 3.2 Luenberger-Type Observer of Impulsive Systems 3.3 Observers for Nonlinear Impulsive Systems References Compensator Design Via the Separation Principle for a Class of Nonlinear Uncertain Evolution Equations on a Hilbert Space 1 Introduction 2 Preliminaries 3 Main Results 3.1 Stabilization 3.2 Luenberger Observer 3.3 Compensator Design 4 Example 5 Conclusion References Observer Desing for Non Linear Takagi-Sugeno Fuzzy Systems. Application to Fault Tolerant Control 1 Introduction 2 Takagi-Sugeno Fuzzy Systems 3 Observers Design for Non Linear Takagi-Sugeno Fuzzy Systems 3.1 Introduction 3.2 Proportional Integral Observer Design 4 Observer and Fault Tolerant Control Design Using Separation Principle 5 Fuzzy Fault Tolerant Control Design for System with Actuator Fault 6 Fuzzy Fault Tolerant Control Design for System with Sensor Faults 7 Fuzzy Fault Tolerant Control Design for System with Actuator and Sensor Faults 8 Example of Simulation 9 Conclusion References On Observer Design of Systems Based on Renewable Energy 1 Introduction 2 Modeling 2.1 Induction Machine Model in the Stationary Reference Frame (α,β) 2.2 Induction Machine Model in the Park Frame 2.3 Permanent Magnet Synchronous Machine Model 2.4 Wind Turbine Modeling 3 A Comparative Study Between a High Gain Interconnected Observer and An Adaptive Observer 3.1 Adaptive Observer 3.2 Interconnected Observer 3.3 Simulations Results and Discussions 4 Adaptive Interconnected Observer Design for IM 4.1 Observer Design 4.2 Stability Analysis 4.3 Wind Torque Observer 4.4 Simulation Results 5 Adaptive Interconnected Observer Design for PMSM 5.1 Observer Design 5.2 Stability Analysis 5.3 Simulation Results 6 Conclusion References On Observers-Based Controller Design for Induction Machine 1 Introduction 2 Control Based on the Lyapunov Approach 2.1 Stability Study in Case of Rated Operation 2.2 Stability Study in Case of Uncertain Parameters 3 Adaptive Observer–Controller Scheme Stability Analysis 4 Interconnected Observer–Controller Scheme Stability Analysis 5 Simulations Results 5.1 Simulations Results Using the Adaptive Observer 5.2 Simulations Results Using the Interconnected Observer 6 Conclusion References