reading assignments covered: Chapters 7, 8
(see the syllabus for section details)
- Root Locus technique
- characteristic equation, open loop function (OLF)
- OLF vs. closed loop poles and zeros
- time constants and damped frequencies from poles
- pole and response types
- points on real axis
- breakaway points
- j-axis crossings
- Routh array stability test
- asymptotes
- Root Locus construction and interpretation
- Bode diagrams
- frequency response basics
- decibel scale
- Bode plot approximations for amplitude and phase
- constant gain terms
- zeros and poles at origin
- real zero and pole
- Bode plot construction and interpretation
- Nyquist diagram
- complex plane mappings
- Nyquist path
- Nyquist criterion
- conditions for stability
- dc gain
- correspondence to Bode diagram
- margins of stability (gain margin, phase margin)
- reading and interpreting margins off Bode diagram
- pole at origin and segment I orientation
- MatLab
- poly, tf, abs, angle, margin
- miscellaneous
- reading assignments
- homework assignments
- Lab exercises