Linear Control Systems

Unit-wise syllabus

• Introduction
  Open-loop and closed-loop control systems and their differences; Feedback characteristics and effects of feedback; Mathematical models; differential equations; impulse response and transfer functions; Translational and rotational mechanical systems
• Transfer Function Representation and Time Response Analysis
  Transfer function of DC/AC servo motors and synchros; Block diagram algebra; signal flow graph and Mason's gain formula; Standard test signals; first- and second-order time response; time-domain specifications; Steady-state errors and error constants
• Stability Analysis in S-Domain and Root Locus
  Concept of stability; Routh's stability criterion; conditional stability; Limitations of Routh's stability criterion; Root locus concept and construction; effect of adding poles and zeros
• Frequency Response Analysis
  Correlation between time and frequency response; Polar plots and Bode plots; Nyquist stability criterion
• Classical Control Design and State Space Analysis
  Lag, lead and lead-lag compensators; PID controllers; State, state variables and state model; state models from block diagrams; Diagonalization; solving state equations; state transition matrix; Controllability and observability

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