Open-loop and closed-loop (feedback) control systems. Examples of feedback control
systems. Review of complex variables and Laplace transform. Poles and element transfer
function and block diagram. Modeling of physical systems: electrical, mechanical hydraulic
and pneumatic systems. Linearization of nonlinear systems. System representations:
system block diagrams and signal flow graphs. Overall transfer function, block diagrams
reduction techniques and Mason’s gain formula. Introduction to state-space
representation.
1. Introduction to Control Systems: Open-loop Control Systems. Closed-loop/Feedback Control
Systems. Examples on the use of Feedback.
2. Mathematical Models of Systems: Differential Equations of Physical Systems. Linear
Approximations. Laplace Transform. Transfer Function. Signal Flow.
3. State Variable Models: State Variable of Dynamic Systems. Signal Flow State Models.
Transfer Functions from State Equations. Time Response and State Transition Matrix.
Discrete Time Response.
4. Feedback Control System Characteristics: System Sensitivity. Transient Response Control.
Disturbance Signal in a Feedback. Steady-State Error.
5. Performance of Feedback Control Systems: Test Input Signals. Performance of a 2nd Order
System. Effect of a 3rd Pole on the 2nd Order System. Performance Index. Simplification of
Linear Systems.
6. Stability of Linear Feedback Systems: Concept of Stability. Routh-Hurwitz Criterion. Stability of
State Variable System.
7. Root Locus Method: Concept of Root Locus. Root Locus Procedure. Parameter Design by
Root Locus Method.
8. Frequency Response Method: Frequency Response Plots. Bode Diagrams. Minimum Phase
Transfer Function.
9. Design of Control System: PD, PI, and PID Controller. Phase-Lead, Phase-Lag, and Lead-Lag
Controller. State Feedback Control
