Nonlinear Dynamical Systems and Control

Nonlinear Dynamical Systems and Control

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Why enroll

Participants should join this course to gain a strong foundation in nonlinear control, which is essential in modern engineering systems. It helps develop clear analytical thinking and practical skills needed for research, higher studies, and advanced control applications in industry.

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Course content

The course is readily available, allowing learners to start and complete it at their own pace.

Nonlinear Dynamical Systems and Control

25 Lectures

633 min

Introduction video - Nonlinear Dynamical Systems and Control
Preview
10 min
Introduction - Part 1
23 min
Introduction - Part 2
21 min
Ordinary Differential Equations – Part 1
19 min
Ordinary Differential Equations - Part 2
26 min
ODE Solutions via Examples
26 min
Solutions to ODEs
28 min
Existence and Uniqueness Theorems
30 min
Asymptotic Behaviour of Dynamical Systems – Part 1
36 min
Asymptotic Behaviour of Dynamical Systems: Part 2
22 min
Asymptotic Behaviour of Dynamical Systems – Part 3
35 min
Stability Theory: Definitions – Part 1
23 min
Stability Theory: Definitions - Part 2
34 min
Stability Theory: Lyapunov Methods – Part 1
26 min
Stability Theory: Lyapunov Methods - Part 2
19 min
Lyapunov Function Examples
33 min
LaSalle’s Invariance Theorem
34 min
Stability Theory: Converse Lyapunov & Instability Theorems
21 min
Solved Problems – Part 1
28 min
Solved Problems - Part 2
25 min
Linear Systems – Part 1
31 min
Linear Systems - Part 2
24 min
Linearization of Nonlinear Systems
15 min
Linear Systems & Linearization: Solved Problems – Part 1
24 min
Linear Systems & Linearization: Solved Problems – Part 2
20 min

Course details

This course introduces the basic ideas of stability and control for nonlinear systems that are commonly described using differential equations. It starts by explaining how to analyze the behavior of nonlinear systems over time, especially whether a system remains stable or becomes unstable. A major focus is on Lyapunov methods, which provide simple and powerful tools to study system stability without solving complex equations. The course then shows how these ideas are used in designing controllers for both linear and nonlinear systems. Participants will learn how to handle uncertainties and disturbances using robust control techniques. Adaptive control concepts are introduced to deal with systems whose parameters change over time. The course also explains feedback linearization, a method to simplify nonlinear systems for control design. Realistic examples help connect theory with practical applications.

Source: NPTEL NOC IITM [Youtube Channel]

Course suitable for

Automotive
Electrical
Engineering & Design
Project Management
Research & Developmnet

Key topics covered

Introduction – Part 1
Introduction – Part 2
Ordinary Differential Equations – Part 1
Ordinary Differential Equations – Part 2
ODE Solutions via Examples
Solutions to ODEs
Existence and Uniqueness Theorems
Asymptotic Behaviour of Dynamical Systems – Part 1
Asymptotic Behaviour of Dynamical Systems – Part 2
Asymptotic Behaviour of Dynamical Systems – Part 3
Stability Theory: Definitions – Part 1
Stability Theory: Definitions – Part 2
Stability Theory: Lyapunov Methods – Part 1
Stability Theory: Lyapunov Methods – Part 2
Lyapunov Function Examples
LaSalle’s Invariance Theorem
Stability Theory: Converse Lyapunov and Instability Theorems
Solved Problems – Part 1
Solved Problems – Part 2
Linear Systems – Part 1
Linear Systems – Part 2
Linearization of Nonlinear Systems
Linear Systems and Linearization: Solved Problems – Part 1
Linear Systems and Linearization: Solved Problems – Part 2
Nonlinear Analysis: Key Concepts and Results – Part 1

Our Alumni Work At

Ex-Tata Steel , Precision Engineering Division , West Bengal university

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Nonlinear Dynamical Systems and Control

Engineering Academy

FREE

Advanced course for professionals

Nonlinear Dynamical Systems and Control

Engineering Academy

Why enroll

Opportunities that awaits you!

Earn a course completion certificate

Career opportunities

Course content

Nonlinear Dynamical Systems and Control

Course details

Course suitable for

Key topics covered

Our Alumni Work At

Why people choose EveryEng

SLB

Vishal Kokate

KPMG

Rahul Dalal

ITER

Nirbhay Naik

Subsea7

C P Sharma

LyondellBasell

Suresh Nawandar

Engineering Academy

Questions and Answers

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