JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Prerequisite

Ordinary Differential Equations & Laplace Transform, Mathematics I

Course objectives:

• To understand the different ways of system representations such as Transfer function representation and state space representations and to assess the system dynamic response
• To assess the system performance using time domain analysis and methods for improving it
• To assess the system performance using frequency domain analysis and techniques for improving the performance
• To design various controllers and compensators to improve system performance Course outcomes: After completion of this course the student is able to
• Improve the system performance by selecting a suitable controller and/or a compensator for a specific application
• Apply various time domain and frequency domain techniques to assess the system performance
• Apply various control strategies to different applications (example: Power systems, electrical drives etc…)
• Test system Controllability and Observability using state space representation and applications of state space representation to various systems.

UNIT - I

Introduction: Concepts of Control Systems- Open Loop and closed loop control systems and their differences- Different examples of control systems- Classification of control systems, Feed-Back Characteristics, Effects of feedback. Mathematical models – Differential equations - Impulse Response and transfer functions - Translational and Rotational mechanical systems. Transfer Function Representation: Transfer Function of DC Servo motor - AC Servo motor- Synchro transmitter and Receiver, Block diagram representation of systems considering electrical systems as examples - Block diagram algebra – Representation by Signal flow graph - Reduction using mason’s gain formula.

UNIT - II

Time Response Analysis: Standard test signals - Time response of first order systems – Characteristic Equation of Feedback control systems, Transient response of second order systems - Time domain specifications – Steady state response - Steady state errors and error constants – Effects of proportional derivative, proportional integral systems.

UNIT - III

Stability Analysis: The concept of stability - Routh stability criterion – qualitative stability and conditional stability. Root Locus Technique: The root locus concept - construction of root loci-effects of adding poles and zeros to G(s) H(s) on the root loci. Frequency Response Analysis: Introduction, Frequency domain specifications-Bode diagrams-Determination of Frequency domain specifications and transfer function from the Bode Diagram-Phase margin and Gain margin-Stability Analysis from Bode Plots.

UNIT - IV

Stability Analysis In Frequency Domain: Polar Plots, Nyquist Plots and applications of Nyquist criterion to find the stability - Effects of adding poles and zeros to G(s)H(s) on the shape of the Nyquist diagrams. Classical Control Design Techniques: Compensation techniques – Lag, Lead, and Lead- Lag Controllers design in frequency Domain, PID Controllers.

UNIT - V

State Space Analysis of Continuous Systems: Concepts of state, state variables and state model, derivation of state models from block diagrams, Diagonalization- Solving the Time invariant state Equations- State Transition Matrix and its Properties.

TEXT BOOKS:

• 1. “I. J. Nagrath and M. Gopal”, “Control Systems Engineering”, New Age International (P) Limited, Publishers, 5th edition, 2009
• 2. “B. C. Kuo”, “Automatic Control Systems”, John wiley and sons, 8th edition, 2003.

REFERENCE BOOKS:

• 1. “N. K. Sinha”, “Control Systems”, New Age International (P) Limited Publishers, 3 rd Edition, 1998.
• 2. “NISE”, “Control Systems Engineering”, John wiley, 6th Edition, 2011.
• 3. “Katsuhiko Ogata”, “Modern Control Engineering”, Prentice Hall of India Pvt. Ltd., 3 rd edition, 1998.