| Chapter | Key Topics Covered in Solutions | |---------|----------------------------------| | 1 | Introduction to control systems, open vs. closed loop, examples | | 2 | Laplace transforms, transfer functions, block diagram algebra, signal flow graphs (Mason’s rule) | | 3 | Modeling mechanical (translational/rotational) and electrical systems | | 4 | Transient response specifications (rise time, overshoot, settling time), first/second order systems | | 5 | Routh-Hurwitz stability criterion, steady-state errors for different inputs | | 6 | Root locus construction rules, gain selection, dominant poles | | 7 | Bode plots, Nyquist stability criterion, gain/phase margins | | 8 | PID controller design, Ziegler-Nichols tuning rules | | 9 | Lead, lag, and lead-lag compensators using frequency response | | 10 | State-space representation, conversion from transfer functions | | 11 | Controllability and observability tests | | 12 | State feedback design (Ackermann’s formula) and observer design | | 13 | Optimal control basics (Riccati equations) |
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