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Advanced Linear Continuous Control Systems

14 min of video

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Preview this course
Self-paced Advanced

Advanced Linear Continuous Control Systems

3(9)
67 views
FREE
848 min
Anytime
English
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Why enroll

Participants should join this course to build a strong foundation in advanced control systems using clear and practical explanations. It helps learners understand state-space modeling, stability, and controller design with real examples and MATLAB practice. The course is useful for both academic learning and real-world engineering applications.

Is this course for you?

You should take this if

  • You work in Automotive
  • You're a Electrical professional
  • You have 3+ years of hands-on experience in this field
  • You want to build skills in Engineering & Design, Project Management

You should skip if

  • You're new to this field with no prior experience
  • You need a different specialisation outside Electrical
  • You need live interaction with an instructor

Course details

This course is designed to help learners clearly understand the principles and applications of advanced control engineering, which plays a vital role in many engineering fields such as electrical, mechanical, aerospace, robotics, and automation. As modern engineering systems become more complex and interconnected, a strong foundation in advanced control concepts is essential.The course mainly focuses on linear continuous-time control systems and builds a solid understanding of their fundamentals. It begins with system modeling using the state-space approach, explaining how physical systems can be represented using state variables. Learners will study state equations, state transition matrices, and different methods to solve state-space models.A significant part of the course is devoted to stability analysis in the state-space framework, helping students understand how system behavior changes over time and how stability can be assessed mathematically. The course then moves on to important system properties such as controllability and observability, which are essential for effective control system design.Further, learners will explore controller design and observer design techniques, enabling them to design systems that meet desired performance requirements even when all state variables are not directly measurable. Throughout the course, theoretical concepts are reinforced using numerical problems, practical engineering examples, and MATLAB programming, making it easier to connect theory with real-world applications.Overall, this course equips students, researchers, and practicing engineers with the analytical and practical skills needed to model, analyze, and design advanced control systems confidently.

Source: IIT Roorkee July 2018 [Youtube Channel]

Course suitable for

Key topics covered

  • Advanced Linear Continuous Control Systems

  • Introduction to State Space

  • State Space Representation

  • State Space Representation: Companion Form (Controllable Canonical Form)

  • State Space Representation: Extended Controllable Canonical Form

  • State Space Representation: Observable Canonical Form

  • State Space Representation: Diagonal Canonical Form (Part-I)

  • State Space Representation: Diagonal Canonical Form (Part-II)

  • State Space Representation: Jordan Canonical Form

  • State Space Representation: Numerical Examples on State space Modelling (Part-I)

  • State Space Representation: Numerical Examples on State space Modelling (Part-II)

  • Modelling of Mechanical Systems in State Space

  • Modelling of DC Servo Motor (Part-I)

  • Modelling of DC Servo Motor (Part-II)

  • Determination of Transfer Function from State Space Model (Part-II)

  • Determination of Transfer Function from State Space Model (Part-I)

  • Stability Analysis in State Space (Part-II)

  • Stability Analysis in State Space: Concept of Eigenvalues and Eigenvectors (Part-I)

  • Stability Analysis in State Space: Lyapunov Stability Analysis (Direct Method) Part-V

  • Stability Analysis in State Space: Lyapunov Stability Analysis (Stability Criterion) Part-IV

  • Stability Analysis in State Space: Lyapunov Stability Analysis (Sylvester’s Criterion) Part-III

  • Concept of Diagonalization

  • Solution of State Equation

  • Solution of State Equation (Forced System)

  • State Transition Matrix (Part-I)

  • Steady State Error for State Space System

  • State Transition Matrix (Part-II)

  • State Transition Matrix using Cayley-Hamilton Theorem (Part-III)

  • Controllability in State Space (Part-I)

  • MATLAB Programming with State Space

Course content

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

30 lectures14 hr 8 min

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What learners say about this course

Boora Mahesh
Boora Mahesh civil engineer
Mar 14, 2026

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Hemanth TK
Hemanth TK
Feb 27, 2026

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Bhavani S
Bhavani S Student
Feb 22, 2026

Nice

Jayalaxmi Sudi
Jayalaxmi Sudi
Feb 15, 2026

Good

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