Unit 1 Introduction and Overview of Control Systems

3 lecture hours

• Basic blocks of Control Systems
• Understanding the terms reference input
• control input
• disturbance input and controlled output
• Tracking and the disturbance rejection problems
• History of Control Systems
• Manual vs. automatic control
• Feedback and feed forward control
• Analysis and Design Objectives

Unit 2 System Modelling

8 lecture hours

• LTI systems
• Review of Laplace Transform Review
• Modelling in Frequency Domain: Transfer function
• Electrical Network Transfer Functions
• Transfer Functions of Mechanical Translational System
• Rotational System, and Electromechanical System
• Case Study
• Modelling in Time Domain: Concept of states
• State-space modelling of general systems
• Operating points and linearization about the same
• State-space to transfer function transformation and the reverse (i.e.
• realization) problem for LTI systems
• controllability and observability
• pole placement
• Block-diagram (and Signal-flow-graph) representation of systems and their reduction to get Transfer Function
• Mason's Gain Formula
• Case Studies

Unit 3 Feedback Control System Characteristics and Performance

6 lecture hours

• Test Input Signals
• pole-zero and order of control system
• Significance of poles and eigenvalues
• Transient and steady-state response
• Cost of feedback
• Performance of various test signals on first and second order Systems
• Effects of a Pole and a Zero on the System Response
• The Steady-State Error of Feedback Control Systems
• Performance Indices
• Case Studies

Unit 4 Stability of Linear Feedback Systems

4 lecture hours

• The Concept of Stability
• Asymptotic and BIBO stability
• Absolute and relative stability
• Routh-Hurwitz criteria
• Stability in State Space
• Case Studies

Unit 5 Stability in the Time Domain

8 lecture hours

• Concept of Root Locus
• Root Locus Design Techniques
• Parameter Design by the Root Locus Method
• Sensitivity, and the Root Locus
• Case Studies

Unit 6 Stability in the Frequency Domain

8 lecture hours

• Frequency Response Plots
• Performance Specifications in the Frequency Domain
• Magnitude and Phase Diagrams (Bode Plots)
• Design via Bode plots
• Nyquist Criterion
• Relative Stability via Bode plots and Nyquist Criterion
• Nichols chart
• Systems with Transportation Delay
• Case Studies

Unit 7 Compensation Design Techniques

• Performance goals - Steady state
• transient and robustness specifications
• Phase Lag-lead, and PID Compensators
• Time domain vs
• Frequency-domain design approaches
• Example Study