Nonlinear Systems Courses and Certifications

IIT Madras;  NPTEL

Nonlinear Dynamical Systems and Control

Analyzes nonlinear-system stability with Lyapunov methods and applies them to robust, adaptive, optimal, and model predictive control.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

NPTEL-NOC IITM

Linearization of Nonlinear Systems

Explore the approximation of nonlinear systems and Lyapunov's first method for linearization, enhancing your understanding of system dynamics.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

Control of Nonlinear Spacecraft Attitude Motion

72 ratings at Coursera

Develop nonlinear three-axis spacecraft attitude control laws with Lyapunov's direct method, analyzing local versus global stability, convergence under unmodeled torques, actuator saturation, and reaction wheel clusters.

• Coursera
• 4 weeks, 8 hours a week
• Self-Paced
• Paid Course

Sliding Mode Control and Applications

Learn sliding-mode control for uncertain nonlinear systems, including finite- and fixed-time stability, higher-order methods, observers, and robust controller design.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Steve Brunton

Linearizing Around a Fixed Point - Control Bootcamp

Learn to linearize a nonlinear system around a fixed point using a simple pendulum example by hand and in MATLAB.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

非线性控制理论

系统学习非线性控制系统的稳定性分析、反馈控制、滑模控制、Backstepping与非线性观测器方法。

• XuetangX
• Self-Paced
• Free Online Course

Guangdong University of Technology

非线性系统

聚焦非线性系统分析与李雅普诺夫稳定性，并运用自适应模糊控制设计复杂系统的控制方法。

• XuetangX
• Self-Paced
• Free Online Course

Underactuated Robotics

3 ratings

This course discusses nonlinear dynamics and control of underactuated mechanical systems, with an emphasis on machine learning methods.

• MIT OpenCourseWare
• 28 hours
• Self-Paced
• Free Video

Complexity Explorer

Nonlinear Dynamics - Introduction to Chaos Theory and Complex Systems

Explore chaotic systems, bifurcations, attractors, and fractal dimensions through mathematical modeling, ODE solving, and time series analysis techniques.

• YouTube
• 9 hours 43 minutes
• Self-Paced
• Free Video

Attitude Control with Momentum Exchange Devices

Derive equations of motion for spacecraft with reaction wheels, CMGs and variable speed CMGs, then design nonlinear 3-axis attitude feedback control and use null motion to dodge singularities.

• Coursera
• 5 weeks, 9 hours a week
• Self-Paced
• Paid Course

Spacecraft Relative Motion Control

Develop nonlinear feedback controls for spacecraft relative motion with Lyapunov's direct method, using inertial, differential orbit element and Hill frame coordinates, and simulate them numerically.

• Coursera
• 2 weeks, 12 hours a week
• Self-Paced
• Paid Course

Steve Brunton

Examples of Nonlinear Systems - Particle in a Potential Well

Analyze a particle in a potential well by interpreting nonlinear equations through phase portraits, fixed points, damping, and trajectories.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Steve Brunton

Drawing Phase Portraits for Nonlinear Systems

Use fixed points, local linearization, and eigenvalues to draw global phase portraits for a nonlinear particle system, including friction.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Steve Brunton

Linearization of Nonlinear ODEs, 2x2 Systems, Phase Portraits

Linearizes nonlinear ODEs and analyzes 2×2 systems through phase portraits.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Wolfram

New Algorithms: Numerical Solution of Large Systems of Nonlinear Equations Using Monodromy

Explore a novel algorithm using monodromy to solve large systems of analytic nonlinear equations, developed during a Wolfram internship.

• YouTube
• 20 minutes
• Self-Paced
• Free Video