Other university all, Electrical Engineering , Control Systems Syllabus

Control Systems

Credits - 03

Module 1: Introduction to control problem
Industrial Control examples. Mathematical models of physical systems. Control hardware and their models. Transfer function models of linear time-invariant systems. Feedback Control: Open-Loop and Closed-loop systems. Benefits of Feedback. Block diagram algebra. Signal flow graph

Module 2: Time Response Analysis
Standard test signals. Time response of first and second-order systems for standard test inputs. Application of initial and final value theorem. Design specifications for second-order systems based on the time-response. Concept of Stability. Routh-Hurwitz Criteria. Relative Stability analysis. Root-Locus technique. Construction of Root-loci.
 

Module 3: Frequency-response analysis 
Relationship between time and frequency response, Polar plots, Bode plots. Nyquist stability criterion. Relative stability using Nyquist criterion – gain and phase margin. Closed-loop frequency response.

Module 4: Introduction to Controller Design 
Stability, steady-state accuracy, transient accuracy, disturbance rejection, insensitivity and robustness of control systems. Root-loci method of feedback controller design. Design specifications in frequency-domain. Frequency-domain methods of design. Application of Proportional, Integral and Derivative Controllers, Lead and Lag compensation in designs. Analog and Digital implementation of controllers.

Module 5: State variable Analysis 
Concepts of state variables. State space model. Diagonalization of State Matrix. Solution of state equations. Eigen values and Stability Analysis. Concept of controllability and observability. Pole-placement by state feedback. Discrete-time systems. Difference Equations. State-space models of linear discrete-time systems. Stability of linear discrete-time systems.

Text/References:

• M. Gopal, “Control Systems: Principles and Design”, McGraw Hill Education, 1997.
• B. C. Kuo, “Automatic Control System”, Prentice Hall, 1995.
• K. Ogata, “Modern Control Engineering”, Prentice Hall, 1991.
• I. J. Nagrath and M. Gopal, “Control Systems Engineering”, New Age International,2009