Unit 1

Mathematical Modeling: Linear Systems, Block Diagrams, Feedback, Input Test Signals, Laplace Transforms. Transfer Functions, State Space Representation.

Unit 2

Definition of Stability – Response Vs. Pole Locations – Time Domain Specifications – System Type and SteadyState Errors – Routh’s Stability Criterion – Root Locus – Guidelines for Sketching – Bode Plot Techniques – Nyquist Criterion – Stability Margins (Gain and Phase),

Unit 3

Root Locus Design Method: Dynamic Compensation (Lead/Lag), PID Controllers – Frequency Response Design Method – Robust Stability and Robust Performance – Introduction to State Space Design, Controllability and Observability – Introduction to State-Feedback and Estimator Design.

Objectives

• Introduce students to modelling, analysis and design of Linear Time Invariant (LTI) systems

Course Outcomes

• CO1: Represent LTI electro-mechanical systems, as a transfer function and state space models
• CO2: Obtain time response of first and second order systems
• CO3: Determine steady state error performance of a given system
• CO4: Ability to use methods like Routh, root locus, Nyquist and Bode plots to analyse a system
• CO5: Apply root locus and Bode plots in design of systems
• CO6: Apply root locus and Bode plots in design of systems

CO – PO Mapping

Textbook(s)

• Norman S. Nise, “Control Systems Engineering,” 6^th edition, Wiley India, 2012.

Reference(s)

• Ogata, K., “Modern Control Engineering,” 5^th edition, Prentice Hall, 2010.
• R.C. Dorf and R.H. Bishop, “Modern Control Systems,” 9^th edition, Prentice-Hall, 2001.

Evaluation Pattern