Control Systems Practice Questions

Generate GATE-level questions on Control System basics. Focus on: 1. Transfer functions of linear time-invariant systems. 2. Block diagram reduction techniques and rules. 3. Signal Flow Graphs (SFG) and Mason's Gain Formula. 4. Open-loop vs. Closed-loop systems and sensitivity analysis.

Generate GATE-level questions on Compensators and Controllers. Focus on: 1. Lead, Lag, and Lead-Lag compensators: Design and frequency domain characteristics. 2. P, PI, PD, and PID controllers: Effect on transient and steady-state performance. 3. Realization of compensators using active and passive networks.

Generate GATE-level questions on Frequency Response. Focus on: 1. Bode plots: Magnitude and phase plots, determining transfer functions from plots. 2. Nyquist stability criterion: Stability analysis and encirclements. 3. Relative stability: Gain Margin (GM) and Phase Margin (PM). 4. Polar plots and M & N circles.

Generate GATE-level questions on Root Locus. Focus on: 1. Rules for construction of root locus and complementary root locus. 2. Stability analysis of systems using root locus. 3. Analysis of root movement with gain (K) variation and effect of adding poles/zeros.

Generate GATE-level questions on Stability. Focus on: 1. Routh-Hurwitz criterion: Determining absolute stability and number of roots in RHP. 2. Stability of feedback systems: BIBO stability and characteristic equation analysis. 3. Relative stability and marginal stability cases.

Generate GATE-level questions on State Space. Focus on: 1. State variable modeling: State equations and output equations. 2. State Transition Matrix (STM): Computation and properties. 3. Controllability and Observability: Kalman and Gilbert tests. 4. Conversion between transfer functions and state-space models.

Generate GATE-level questions on Time Response. Focus on: 1. First and second-order system step response and impulse response. 2. Transient parameters: Delay time, rise time, peak time, overshoot, and settling time. 3. Steady-state error: Static error constants (Kp, Kv, Ka) and system types. 4. Dominant poles and transient response specifications.