Notes for ME 370 — Systems Analysis & Design
System dynamics
General solution of the state equations (SD Ch 10)
Forced state response
Eigenvalues and eigenvectors
State equation diagonalization
Transfer functions (SD Ch 12)
Transfer functions for SISO systems
System poles and zeros
Second-order system characteristics from its poles
Transfer functions for MIMO & SISO systems – state space to transfer functions
Example (12.21 of SD)
Matlab tutorial I made to showcase commands useful for this course (zipped m-file)
Matlab tutorial, published (pdf)
Fluid and thermal elements (SD Chs 4 and 6)
Review of lumped-parameter modeling of mechatronic systems
Lumped parameter modeling of fluid systems
Fluid system example
Lumped parameter modeling of thermal systems
Impedance-based modeling (SD Ch 13)
Input impedance and admittance
Impedance and admittance of interconnected elements
Impedance relationships for two-port elements
Example: equivalent sources and transfer functions
Sinusoidal frequency response (SD Ch 14)
Fundamentals of frequency response
Vibration example
Frequency domain methods (SD Ch 15)
Fourier series example
Response of linear systems to periodic inputs
Example starting
Fourier transforms
Fourier transforms and frequency response
Laplace transforms
Control systems
Introduction to control systems (CS Ch 1)
An Introduction to control theory
Control system stability (CS Ch 6)
Stability of control systems introduction
Basic Routh table example
Steady-state errors (CS Ch 7)
Root-locus techniques (CS Ch 8)
The control system problem
Complex functions
The root locus
Root locus example
Time-response of first- and second-order systems: additional characteristics
Root locus example: basic design
Root locus example: control of an unstable system
Generalized root locus