Topics Covered

Introduction to feedback control, terminologies with examples. Transfer function modeling of DC and AC serve  and other familiar systems. Block diagram representation and simplification to canonical form by Mason's rule, Time domain specifications , unit step response. Location of poles and stability by Routh's criterion, Root locus: Construction rules, dominant poles, stability, P+I, P+D, and P+I+D compensation using root locus. Introduction to pole placement compensation. Steady state performance: types of systems, examples, steady state error and static error coefficient. Frequency response: Bode, Nyquist's and  Nichol's plots, Gain margin, phase margin, maximum magnitude, resonant frequency and bandwidth correlation with time response. Stability from Nyquist diagram (direct: polar plot). Gain adjustment using Nichol's chart. State space representation: formation  of state equations, transfer function from state equation, stability and eigen-values of state transition matrix. Introduction to digital control.  Introduction to control systems. Linear system models: transfer function, block diagram and signal flow graph (SFG). State variables: SFG to state variables, transfer function to state variable and state variable to transfer function. Feedback control system: Closed loop systems, parameter sensitivity, transient characteristics of control systems, effect of additional pole and zero on the system response and system types and steady state error. Routh stability criterion. Analysis of feedback control system: Root locus method and frequency response method. Design of feedback control system: Controllability and observability, root locus, frequency response and state variable methods. Digital control systems: introduction, sampled data systems, stability analysis in Z-domain.