Sliding-Mode Control and Variable-Structure Systems

This book reflects the latest developments in sliding-mode control (SMC) and variable-structure systems (VSS), comprising contributions by leading researchers and an international range of experts. Such contributions highlight advances in various branches of the field-conventional and higher-order SMC with continuous- and discrete-time implementation and theory and applications both receive attention.The book consists of six parts. In the first, new SMC/VSS algorithms are proposed and their properties are analyzed. The second part focuses on the use of observers to solve the estimation and output-feedback control problems. The third part discusses the discretization aspects of SMC algorithms. Parts IV and V provide important insights on the use of adaptation laws for non-overestimated control gains and chattering alleviation. The last part examines the applications of these SMC/VSS ideas to real-world systems. Sliding-Mode Control and Variable-Structure Systems introduces postgraduates and researchers to the state of the art in the field. It includes theory, methods, and applications relevant to workers in disciplines including control, automation, applied mathematics, electrical and mechanical engineering, instrumentation, electronics, computer science, robotics, transportation, and power engineering. Its clear style and deep exposition help readers to keep in touch with tools that are, thanks to the robustness and insensitivity to perturbations of the SMC/VSS paradigm, among the most efficient for dealing with uncertain systems.

This book reflects the latest developments in sliding-mode control (SMC) and variable-structure systems (VSS), comprising contributions by leading researchers and an international range of experts. Such contributions highlight advances in various branches of the field—conventional and higher-order SMC with continuous- and discrete-time implementation and theory and applications both receive attention.

The book consists of six parts. In the first, new SMC/VSS algorithms are proposed and their properties are analyzed. The second part focuses on the use of observers to solve the estimation and output-feedback control problems. The third part discusses the discretization aspects of SMC algorithms. Parts IV and V provide important insights on the use of adaptation laws for non-overestimated control gains and chattering alleviation. The last part examines the applications of these SMC/VSS ideas to real-world systems.

Sliding-Mode Control and Variable-Structure Systems introduces postgraduates and researchers to the state of the art in the field. It includes theory, methods, and applications relevant to workers in disciplines including control, automation, applied mathematics, electrical and mechanical engineering, instrumentation, electronics, computer science, robotics, transportation, and power engineering. Its clear style and deep exposition help readers to keep in touch with tools that are, thanks to the robustness and insensitivity to perturbations of the SMC/VSS paradigm, among the most efficient for dealing with uncertain systems.

New Sliding-Mode Algorithms.- Generalized Super-twisting with Robustness to Arbitrary Disturbances: Disturbance-Tailored Super-twisting.- Prescribed-Time Stabilization and Inverse Optimality for Nonlinear Systems.- Designing Controllers with Predefined Convergence-Time Bound Using Bounded Time-Varying Gains.- Observers.- Bi-homogeneous Differentiators.- On Finite- and Fixed-Time State Estimation for Uncertain Linear Systems.- Robust State Estimation for Linear Time-Varying Systems Using High-Order Sliding-Mode Observers.  Discretization.- Effect of Time-Discretization on Variable-Structure Differentiators.- Discrete-Time Implementations of Differentiators Homogeneous in the Bi-Limit.- Lyapunov-Based Consistent Discretization of Quasi-Continuous High-Order Sliding Modes.- Low-Chattering Discretization of Sliding Modes. Part IV: Adaptation.- Adaptive Sliding-Mode and Higher-Order Sliding-Mode Control Techniques with Applications: A Survey.- Adaptive Unit-Vector Control with Fixed-Time and Prescribed Performance via Monitoring and Barrier Functions.- Part V: Chattering.- Chattering in Mechanical Systems Under Sliding-Mode Control.- Describing-Function-Based Analysis and Design of Approximated Sliding-Mode Controllers with Reduced Chattering.- Applications.- Blood Glucose Regulation for Type 1 Diabetic Patients at Intensive Care Unit via Continuous Sliding-Mode Algorithms.- A Reduced-Order Model-Based Design of Event-Triggered Sliding-Mode Control.- A Robust Approach for Fault Diagnosis in Railway Suspension Systems.- Flight Evaluation of a Sliding-Mode Fault-Tolerant Control Scheme.- Sliding-Mode-Based Fault Diagnosis and Fault-Tolerant Control for Quad-rotors.- Second-Order Sliding-Mode Leader–Follower Consensus for Networked Uncertain Diffusion Partial Differential Equations with Spatially Varying Diffusivity.