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Differential Equations, Controls - Coggle Diagram
Differential Equations
Partial Differential Equations
ODE (Ordinary Differential Equations
Euler's Guess
s domain
Laplace
Inverse Laplace
Partial Fractions
Long Division of Polynomials
Complex Roots
Heaviside Function
Controls
Systems/Plants
Block Diagrams
Components
Input Signal
Disturbance
R(s): Reference Input
E(s): Error
E_ss: Steady State Error
Output Signal
Y
y_desired
% Overshoot
T_p: Peak Time
Transfer Functions
Roots of Numerator -> Zeroes
.
Improper: n > m
Strictly Proper: n < m
Proper: n = m
Roots of Denominator -> Poles
Open Loop Transfer Function
L = G(s)
Closed Loop Transfer Function
Negative Feedback Loop
Positive Feedback Loop
Operators
Ex. Plus/Minus
Control
Plant
MatLab Simulink
Feedback Loops
Reformatting Block Diagrams
Concepts
Initial Value Theorem
Final Value Theorem
*Only Valid for Stable Systems
x_ss
