Course10810672260 lectures
Sliding Mode Control and Applications
Prof. Shyam Kamal · IIT (BHU) Varanasi
About
This course introduces Sliding Mode Control and Applications, focusing on advanced control methods for systems under heavy uncertainty. It builds upon classical mathematical-control theory, which typically solves control problems asymptotically, by presenting techniques that provide exact solutions in finite or pre-determined time. The course covers key topics such as nonlinear control, finite- and fixed-time stability, sliding-mode control, and robust differentiation, validated through simulations in the presence of system disturbances and noisy measurements. Practical applications of Sliding Mode Control are explored in fields such as robotics, avionics, space flight, signal and image processing, and targeting and tracking problems. It complements foundational courses in nonlinear control and prepares students to design effective controllers for uncertain multi-input multi-output systems. Basic knowledge of ordinary differential equations, linear algebra, and calculus is sufficient for understanding the course.
Intended audience: The intended audience for the course on Sliding Mode Control and Applications includes a diverse range of learners and professionals.It is well-suited for undergraduate students from disciplines such as Electrical Engineering, Mechanical Engineering, Aerospace Engineering, and Robotics, who wish to gain foundational knowledge and practical experience in advanced control techniques. It also caters to postgraduate students and researchers specializing in areas like Control Systems, Power Electronics, Mechatronics, and Artificial Intelligence, enabling them to deepen their theoretical understanding and contribute to cutting-edge research.Faculty members and educators can benefit from the course by enhancing their expertise, staying updated with the latest developments, and effectively mentoring students in related subjects. For industry professionals and engineers in sectors such as automotive, aerospace, power systems, and robotics, the…
Lectures
Week 1
- A Transition from PID to Nonsmooth PID
- Newton's Law - Inspired Tuning of P controller - 1
- Newton's Law - Inspired Tuning of PI Controllers - 2
- Tuning of PID & High Gain Controllers
- Newton's Inspired Tuning of ON OFF Controller - 1
Week 2
- Finite - Time Stability Using a Lyapunov Function
- Sliding Mode Control for Nonlinear Systems
- Regular Form Representation of Npnlinear Systems Part I
- Regular Form Representation of Npnlinear Systems Part II
- A Regular Form Approach to Sliding Mode Control of Nonlinear System
Week 3
- Input Output Linearization - Part I
- Input Output Linearization - Part II
- Tracing Problem based on Sliding Mode Control for Nonlinear Systems
- State Feedback Unit Vector Control
- Output Based Hyperplane Design in Sliding Mode Control
Week 4
- Terminal Sliding Mode Control
- Integral Sliding Mode Control
- Integral Sliding Mode Control Design in Presence of Unmatched Pertubations
- Robot Control
- Control of Robot manipulators using Integral Sliding Mode Control
Week 5
- Observer Design in Control Theory
- Observer Design for Nonlinear systems
- High Gain Observer for Nonlinear Systems
- Sliding Mode Observer Design
- Sliding Mode Observer Design for Nonlinear Systems Application to Fault Estimation
Week 6
- Observer for Linear Systems with Binary Output
- Application of Sliding Mode Observer in DC Motor Control
- Chattering Analysis
- Chattering Suppression via Boundary Layers & Observer Design
- Hybrid Chattering Suppression Approach
Week 7
- Solution of Differential Equations with eDiscontinuous Right Hand Sides
- Higher Order Sliding Mode Control Concepts & Definitions
- Homogeneity & Stability of Differential Inclusion
- Finite Time Stability & Accuracy of Differential Inclusion
- Twisting Algorithm
Week 8
- Lyapunov Analysis of Twisting Algorithm 1
- Lyapunov Analysis of Super Twisting Algorithm 1
- Geometrical Proof of Convergence of Super Twisting Algorithm
- Continuous Integral Sliding Mode Control 1
- Continuous Terminal Sliding Mode Control 1
Week 9
- Homogeneous Sliding Modes
- Higher Order Super Twisting Algorithm
- An Introduction to Differentiator Design
- First Order Differentiator & Output Feedback Control Based on Sliding Mode
- Arbitrary Order Robust Exact Differentiation
week 10
- How to Implement Super Twisting Controller Based on Sliding Mode Observer
- Parameter Identification Using Sliding Mode Control
- Robust Finite Time Continuous Super Twisting Controller Design for MIMO Systems
- Adaptive Sliding Mode Control
- Adaptive Sliding Mode Control for Industrial Emulator
Week 11
- Stability Notions for Dicrete Time Systems
- Discrete Sliding Mode Control
- Minimum Operator Based Discrete Sliding Mode
- Difference Equation with Minima Based Discrete Time Twisting & Super Twisting Like Algori
- Multirate Output Feedback Based Discrete Sliding Mode
Week 12
- An Introduction to Arbitrary Time Stability
- Arbitrary Time Terminal Sliding Mode Control
- Stabilization of Continuous Time Uncertain Systems with Predefined Upper Bound of Sttling Time
- Artificial Delayed Output Twisting Algorithm
- Sliding Mode Approach for the Design of Control Systems for Power Converters
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT (BHU) Varanasi
- Department
- Electrical Engineering
- Teacher
- Prof. Shyam Kamal
- Level
- Undergraduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed