Methods of developing sliding mode control : Design and Matlab simulation / Reihaneh Kardehi Moghaddam, Mostafa Rabbani.

1 An Introduction to Sliding Mode Controllers
1.1 Introduction
1.2 Advantages and Limitations of Sliding Mode Controllers
1.3 An Overview of Book Contents
References
2 Classic Sliding-Mode Controller
2.1 Introduction
2.2 Variable-Structure Controllers
2.2.1 Industrial Variable-Structure Controllers
2.2.1.1 Relays
2.2.1.2 Feedback Control with Switching Gains
2.2.1.3 Sliding Mode Controlers
2.3 Classic Sliding Mode Controllers
2.4 Controller Design
2.5 Sliding Mode Controller Design
2.5.1 Reaching Phase
2.5.2 Sliding Phase
2.6 Theoretical Foundations of Sliding Mode Control
2.7 Designing Sliding Mode Controller for Second Order Uncertain Systems
2.7.1 System Dynamical Model
2.7.2 Sliding Surface Determination
2.7.3 Designing Nominal Controller
2.7.4 Designing the Variable Structure
2.8 Classical Sliding Mode Controller Design in MATLAB
References
3 Terminal Sliding Mode Controller
3.1 Introduction
3.2 Terminal Sliding Mode Controller Design
3.3 Nonsingular Terminal Sliding Mode Controller
3.4 Fast Terminal Sliding-Mode Controller
3.5 Nonsingular Fast Terminal Sliding-Mode Control
3.6 Integral Terminal Sliding-Mode Control
3.7 Extended INTSMC for n-Order Nonlinear Systems
3.8 MATLAB Simulation
3.8.1 Simulation using MATLAB mfiles
3.8.2 Designing Improved Sliding Mode Controllers for Inverted Pendulum in SIMULINK
3.9 Conclusion
References
4 Dynamic Sliding Mode Control
4.1 Introduction
4.2 Designing the Dynamic Sliding Mode Controller
4.2.1 Statement of the Problem
4.2.2 Controller Design and Stability Analysis
4.3 DSMC MATLAB Programming
4.3.1 Programming in Simulink Environment
References
5 Fuzzy Sliding Mode Controllers
5.1 Introduction
5.2 Designing Adaptive FSMC
5.2.1 Designing Sliding-Mode Controller Based on Fuzzy Approximator
5.2.2 Fuzzy Approximation
5.3 Designing an Indirect Adaptive Fuzzy Sliding-Mode Controller
5.3.1 Fuzzy Adaptive SMC Simulation Results
5.4 Designing Sliding-Mode Controller Based on Fuzzy Equivalent Control
5.4.1 Fuzzy Equivalent SMC Simulation Results for Inverted Pendulum
5.4.2 Fuzzy Equivalent SMC Simulation Results for Duffing System
References
6 Adaptive Sliding-Mode Control
6.1 Introduction
6.2 Adaptive Sliding Mode Control Design
6.3 Designing Adaptive SMC for Inverted Pendulum
References
7 Super Twisting SMC
7.1 Introduction
7.2 SMC Review
7.2.1 SMC Design
7.2.2 Inverted Pendulum Design
7.3 Super Twisting SMC
7.4 Super-Twisting SMC Controller Design in MATLAB
7.4.1 MATLAB Programming
References
8 Back-Stepping Sliding-Mode Control
8.1 Introduction
8.2 Back-Stepping Controller Design
8.2.1 Back-Stepping Method
8.2.2 Chaotic Duffing Oscillator Equations
8.3 Back-Stepping Control of Chaotic Duffing Oscillator
8.3.1 Stability Analysis
8.4 MATLAB Programming of Back-Stepping Controller
8.4.1 Back-Stepping Controller Design in MATLAB
8.4.2 Controller Design Based on Back-Stepping Super-Twisting SMC
8.5 Back-Stepping Super-Twisting Sliding-Mode Controller Design
8.5.1 Proof of Stability
8.5.2 MATLAB Programming
8.5.3 Back-Stepping Super-Twisting SMC Controller Design in MATLAB
References
9 Chattering Reduction Methods
9.1 Introduction
9.2 Methodology
9.2.1 Methods to Reduce Chattering Phenomenon
9.2.2 Sign Function
9.2.3 Epsilon-Sign Function
9.2.4 Saturation Function
9.2.5 Hyperbolic Tangent Function
9.2.6 Generalized Hyperbolic Tangent Function
9.2.7 Generalized Hyperbolic Tangent Function
9.2.8 Super Twisting
References
10 Feedback Linearization and Sliding Mode Controllers
10.1 Introduction
10.2 Feedback Linearization
10.2.1 Feedback Linearization of Systems with Canonical Form
10.2.2 Input-State Linearization
10.2.3 Input-Output Linearization
10.3 Inverted Pendulum System Equations
10.4 Controller Design Based on Feedback Linearization
10.5 Proof of Stability
10.5.1 MATLAB Programming
10.6 Sliding-Mode Control Based on Feedback Linearization Method
10.6.1 MATLAB Programming
References
11 Fixed-Time Terminal Sliding-Mode Controller
11.1 Introduction
11.2 Finite-Time Terminal Sliding Mode Controller
11.2.1 Finite-Time Convergence
11.2.2 Mathematical Preliminaries
11.2.3 Finite-Time Terminal Sliding-Mode Controller Design
11.2.4 MATLAB Programming
11.3 Fixed-Time Terminal Sliding-Mode Controller
11.3.1 Fixed-Time Convergence
11.3.2 Mathematical Preliminaries
11.3.3 Design and Stability Analysis
11.3.4 MATLAB Programming
11.3.5 Nonsingular Fixed-Time Terminal Sliding-Mode Controller
11.3.5.1 Design of Nonsingular Fixed-Time Terminal Sliding-Mode Controller
11.3.5.2 MATLAB Programming
References
12 Event-Triggering Sliding-Mode Controllers
12.1 Introduction
12.2 Designing Event-Triggering Sliding-Mode Controller for Linear Systems
12.2.1 Definitions and Mathematical Preliminaries
12.2.2 Controller Design
12.3 MATLAB Programming and Simulation Results: Event-Triggering Sliding-Mode Controller for Linear Systems
12.4 Design of Event-Triggering SMC for Nonlinear Systems
12.5 MATLAB Programming and Simulation Results.