15EE741 Advanced Control Systems syllabus for EE

State Variable Analysis and Design:

Introduction, Concept of State, State Variables and State Model, State Modelsfor Linear Continuous – Time Systems, State Variables and Linear Discrete – Time Systems.

State Variable Analysis and Design (continued):

Diagonalization, Solution of State Equations, Concepts of Controllability and Observability.

Pole Placement Design and State Observers:

Introduction, Stability Improvements by State Feedback, Necessary and Sufficient Conditions for Arbitrary Pole Placement, State Regulator Design, Design of State Observer, Compensator Design by the Separation Principle.

Non-linear systems Analysis:

Introduction, Common Nonlinear System Behaviours, Common Nonlinearities in Control Systems, Fundamentals, Describing Functions of Common Nonlinearities, Stability Analysis by Describing Function Method, Concept of Phase Plane Analysis, Construction of Phase Portraits, System Analysis on the Phase Plane.

Non-linear systems Analysis (continued):

Simple Variable Structure Systems, Lyapunov Stability Definitions, Lyapunov Stability Theorems, Lyapunov Functions for Nonlinear Systems.

Course outcomes:

At the end of the course the student will be able to:

• Discuss state variable approach for linear time invariant systems in both the continuous and discrete time systems.
• Develop of state models for linear continuous – time and discrete – time systems.
• Apply vector and matrix algebra to find the solution of state equations for linear continuous – time and discrete – time systems.
• Define controllability and observability of a system and test for controllability and observability of a given system.
• Design pole assignment and state observer using state feedback.
• Develop the describing function for the nonlinearity present to assess the stability of the system.
• Develop Lyapunov function for the stability analysis of nonlinear systems.

Graduate Attributes (As per NBA)

Engineering Knowledge, Problem Analysis, Design/ Development of Solutions, Conduct investigations of complex problems, Modern Tool Usage, Ethics, Individual and Team Work, Life-long Learning.

Question paper pattern:

• The question paper will have ten questions.
• Each full question is for 16 marks.
• There will be 2full questions (with a maximum of four sub questions in one full question) from each module.
• Each full question with sub questions will cover the contents under a module.

Textbooks

1 Control Systems Engineering (For the Modules 1 and 2) I.J. Nagarath and M.Gopal New Age 5 th Edition, 2007

2 Digital Control and State Variable Methods: Conventional and Intelligent Control Systems (For the Modules 3,4 and 5) M.Gopal McGraw Hill 3 rdEdition, 2008