Argha A., Celler B.G., Li L., Nguyen H.T,. Su S. Advances in discrete-time sliding mode control: theory and applications

New York: CRC Press/Taylor & Francis Group, 2018. — 255 p.Focusing on the design of a specific control strategy using digital computers, this book starts by explaining a new robust LMI-based (state-feedback and observer-based output-feedback) DSMC including a new scheme for sparsely distributed control. It also discusses recent investigations' output in the field of discrete-time sliding mode control (DSMC)List of Figures
List of Tables
SymbolsContinuous-time SMC
Regular form-based DSMCLMI-Based Discrete-Time Sliding Mode Control
LMI-based SF DSMCProblem Formulation
Design of Discrete-time SMC
Variable structure discontinuous control considerations
Using upper and lower bounds of disturbance in the controller: C
Using f
Design of a robust sliding surface
Characterizing system state boundedness
Disturbance Estimate in Control Law
Simulation Results
ConclusionsLMI-based output feedback DSMCProblem Formulation
Observer-Based Output Feedback DSMC
Stability analysis
Characterizing the system state boundedness
Discussions
Simulation Results
ConclusionsDSMC for NCSs Involving Packet Losses
NCSs with measurement packet lossesProblem Formulation and Preliminaries
Stochastic Sliding Mode Control
Variable Structure Controller Considerations
Simulation Results
ConclusionsNCSs with actuation and measurement packet lossesProblem Formulation and Preliminaries
Problem statement
Stochastic Sliding Mode Control
Designing the sliding function subject to consecutive packet losses
Stability analysis
Numerical Examples
Example
ConclusionsSparse Sliding Mode Control for Large Scale NCSs
Sparse DSMC for NCSsProblem Formulation and Preliminaries
Preliminaries
State and disturbance observer
Spatially Decentralized Sliding Mode Control
Stability Analysis
Sparsifying the Control Network Structure
Numerical Examples
Example
Example
Example
ConclusionsOptimal sparse SMC for NCSsProblem Formulation and Preliminaries
Optimal Structured SMC Design Problem
H2 based optimal structured static output feedback
Stability analysis of sliding mode dynamics
Sparsification of the Control Network
Numerical Examples
Example
Example
Comparison
Comparison
Solving LQ SOF Problem
Reweighted `1 Minimization Algorithm
ConclusionsDSMC for Two-Dimensional Systems
DSMC for 2D systemsProblem Formulation
New 1D form of 2D first FM model
DSMC for 1D Discrete Vector Form
Direct method to find control law
Simulation Results
ConclusionsControllability analysis of 2D systemsWAM Model of the First FM Model
Controllability analysis of the WAM model
Controllability Analysis of the New Model in
Notion of local controllability for 2D systems
Directional controllability with respect to { j}-direction
Directional controllability with respect to {i}-direction
Directional minimum energy control input
Numerical Example
ConclusionsIntegral DSMC for Heart Rate Regulation
HR regulation during cycle-ergometer exerciseMethods
Equipment and data acquisition system
HR profile
Control system
Actuator-based event-driven PID controller
Actuator-based event-driven adaptive ISMC
Auditory converter
The proposed control mechanism in summary
Two novel anti-windup mechanisms
Relay controller strategy
Tuning the PID controller gains
Results
Discussion
Necessity of the project
Discussion of the control system
Discussion of the results
Conclusions