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Sliding Mode Control and Applications

Prof. Shyam Kamal · IIT (BHU) Varanasi

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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

  1. A Transition from PID to Nonsmooth PID YouTube
  2. Newton's Law - Inspired Tuning of P controller - 1 YouTube
  3. Newton's Law - Inspired Tuning of PI Controllers - 2 YouTube
  4. Tuning of PID & High Gain Controllers YouTube
  5. Newton's Inspired Tuning of ON OFF Controller - 1 YouTube

Week 2

  1. Finite - Time Stability Using a Lyapunov Function YouTube
  2. Sliding Mode Control for Nonlinear Systems YouTube
  3. Regular Form Representation of Npnlinear Systems Part I YouTube
  4. Regular Form Representation of Npnlinear Systems Part II YouTube
  5. A Regular Form Approach to Sliding Mode Control of Nonlinear System YouTube

Week 3

  1. Input Output Linearization - Part I YouTube
  2. Input Output Linearization - Part II YouTube
  3. Tracing Problem based on Sliding Mode Control for Nonlinear Systems YouTube
  4. State Feedback Unit Vector Control YouTube
  5. Output Based Hyperplane Design in Sliding Mode Control YouTube

Week 4

  1. Terminal Sliding Mode Control YouTube
  2. Integral Sliding Mode Control YouTube
  3. Integral Sliding Mode Control Design in Presence of Unmatched Pertubations YouTube
  4. Robot Control YouTube
  5. Control of Robot manipulators using Integral Sliding Mode Control YouTube

Week 5

  1. Observer Design in Control Theory YouTube
  2. Observer Design for Nonlinear systems YouTube
  3. High Gain Observer for Nonlinear Systems YouTube
  4. Sliding Mode Observer Design YouTube
  5. Sliding Mode Observer Design for Nonlinear Systems Application to Fault Estimation YouTube

Week 6

  1. Observer for Linear Systems with Binary Output YouTube
  2. Application of Sliding Mode Observer in DC Motor Control YouTube
  3. Chattering Analysis YouTube
  4. Chattering Suppression via Boundary Layers & Observer Design YouTube
  5. Hybrid Chattering Suppression Approach YouTube

Week 7

  1. Solution of Differential Equations with eDiscontinuous Right Hand Sides YouTube
  2. Higher Order Sliding Mode Control Concepts & Definitions YouTube
  3. Homogeneity & Stability of Differential Inclusion YouTube
  4. Finite Time Stability & Accuracy of Differential Inclusion YouTube
  5. Twisting Algorithm YouTube

Week 8

  1. Lyapunov Analysis of Twisting Algorithm 1 YouTube
  2. Lyapunov Analysis of Super Twisting Algorithm 1 YouTube
  3. Geometrical Proof of Convergence of Super Twisting Algorithm YouTube
  4. Continuous Integral Sliding Mode Control 1 YouTube
  5. Continuous Terminal Sliding Mode Control 1 YouTube

Week 9

  1. Homogeneous Sliding Modes YouTube
  2. Higher Order Super Twisting Algorithm YouTube
  3. An Introduction to Differentiator Design YouTube
  4. First Order Differentiator & Output Feedback Control Based on Sliding Mode YouTube
  5. Arbitrary Order Robust Exact Differentiation YouTube

week 10

  1. How to Implement Super Twisting Controller Based on Sliding Mode Observer YouTube
  2. Parameter Identification Using Sliding Mode Control YouTube
  3. Robust Finite Time Continuous Super Twisting Controller Design for MIMO Systems YouTube
  4. Adaptive Sliding Mode Control YouTube
  5. Adaptive Sliding Mode Control for Industrial Emulator YouTube

Week 11

  1. Stability Notions for Dicrete Time Systems YouTube
  2. Discrete Sliding Mode Control YouTube
  3. Minimum Operator Based Discrete Sliding Mode YouTube
  4. Difference Equation with Minima Based Discrete Time Twisting & Super Twisting Like Algori YouTube
  5. Multirate Output Feedback Based Discrete Sliding Mode YouTube

Week 12

  1. An Introduction to Arbitrary Time Stability YouTube
  2. Arbitrary Time Terminal Sliding Mode Control YouTube
  3. Stabilization of Continuous Time Uncertain Systems with Predefined Upper Bound of Sttling Time YouTube
  4. Artificial Delayed Output Twisting Algorithm YouTube
  5. Sliding Mode Approach for the Design of Control Systems for Power Converters YouTube

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.
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