Cuthbert Nyack
Page Index For Control
These pages are mainly intended as supplementary for students pursuing
electronics or related subjects. It is not the intention to repeat
the explanations that can readily be found in books, but to supplement them with
visual interactive illustrations of some of the concepts that students find difficult
at first encounter. Most of these illustrations are done
with java applets and pages are
best viewed with a java enabled browser.
The applets were originally written to be projected onto a screen during lecture/demonstration and have been tested with a 3GHz PC with Windows XP.
With early versions of WinXP the Java virtual machine must be
downloaded from Sun Microsystems. Later releases of WinXP block
Java applets(This is the continuing saga of Microsoft trying to bring an end to Java). The following message appears: "To help protect your security, Internet Explorer has restricted this file from showing active content that could access your computer. Click here for options..." . To see the applets here active content must be unblocked. The applets only interact with the screen. Some sample GIF files of the applets
are shown.
For the Laplace transform used in the analysis
of linear systems see:-
ASP
Introduction to Control
Frequency Analysis
-
Frequency Analysis Introduction
-
S Plane and Frequency Response
-
Bode Plot, Single Pole Zero Factors
-
Bode Plot, Quadratic Pole Zero Factors
-
Quick look at Bode Plots.
-
Bode Plot, 1 Pole, 1 Zero Factors
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Nyquist Plot, 1, 2, 3 Real Poles
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Bode Plot, 2 Real Poles, 1 Zero
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Nyquist Plot, 2 Real Poles, 1 Zero
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Bode Plot, 3 Real Poles
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Bode Plot, 3rd order Polynomial
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Bode Plot, 3 Real Poles, 1 Zero
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Nyquist Plot, 3 Real Poles, 3 Real Poles, 1 Zero
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Bode Plot, 3 Real Poles, 2 Complex Conjugate Zeros
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Bode Plot, 3 Real Poles, Closed Loop Response
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Nyquist Plot, 3 Real Poles, Closed Loop Response
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Bode Plot, 3 Real Poles, Phase and Gain Margins
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Nyquist Plot, 3 Real Poles, Phase and Gain Margins
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Bode Plot, 1 Real Pole, 2 Complex Conjugate Poles
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Nyquist Plot, 1 Real Pole, 2 Complex Conjugate Poles
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Bode Plot, 4 Real Poles
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Nyquist Plot, 4, 3 Real Poles
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Bode Plot, 4 Real Poles, 2 Complex Conjugate Zeros
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Nyquist Plot, 4 Real Poles, 2 Complex Conjugate Zeros
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Bode Plot, 4th Order Polynomial
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Bode Plot, 5 Real Poles
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Nyquist Plot, 5 Real Poles
Routh Hurwitz criterion
- Routh Hurwitz Introduction
- Routh Hurwitz, 3 Real Poles
- Routh Hurwitz, 3 Real Poles, 2 Complex Conjugate Zeros
- Routh Hurwitz, 3rd Order Polynomial
- Routh Hurwitz, 4 Real Poles
- Routh Hurwitz, 4 Real Poles, 2 Complex Conjugate Zeros
- Routh Hurwitz, 4th Order Polynomial
- Routh Hurwitz, 5 Real Poles
- Routh Hurwitz, 5th Order Polynomial
- Routh Hurwitz, 3 Real Poles and closed loop poles
- Routh Hurwitz, 3rd Poly and closed loop poles
- Routh Hurwitz, 4th Poly and closed loop poles
Root Locus
-
Root Locus Introduction
- Angle Condition, Quick look at Root Locus for Pole Zero Configurations
- Angle Condition, 1 Real Pole, 1 Real zero
- Angle Condition, 2 Real Poles
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Angle Condition, 2 Real Poles, Magnitude and Phase Surface Plots
- Angle Condition, 2 Real Poles, 1 Real zero
- Angle Condition, 3 Real Poles, type 0 and 1
- Angle Condition, 3 Real Poles and root locus
- Angle Condition, 3rd order Polynomial
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Angle Condition, 3 Real Poles, Magnitude and Phase Surface Plots
- Angle Condition, 3 Real Poles, 1 Real Zero
- Angle Condition, 3 Real Poles, 1 Real Zero, Root Locus
- Angle Condition, 3 Real Poles, 2 Real Zeros
- Angle Condition, 3 Real Poles, 2 Complex Conjugate Zeros
- Angle Condition, 1 Real Pole, 2 Complex Conjugate Poles, 2 Real Zeros
- Angle Condition, 1 Real Pole, 2 Complex Conjugate Poles, 2 Complex Conjugate Zeros
- Angle Condition, 4 Real Poles
- Angle Condition, 2 Real Poles, 2 Complex Conjugate Poles
- Angle Condition, 2 x 2 Complex Conjugate Poles
- Angle Condition, 4 Real Poles, 1 real Zero
- Angle Condition, 4 Real Poles, 2 real Zeros
- Angle Condition, 2 Real Poles, 2 Complex Conjugate Poles, 1 real Zero
- Angle Condition, 4 Real Poles, 2 Complex Conjugate Zeros
- Angle Condition, 2 x 2 Complex Conjugate Poles, 2 Complex Conjugate Zeros
- Angle Condition, 4th Order Polynomial
- Angle Condition, 5 Real Poles
- Angle Condition, 5 Real Poles, 1Real Zero.
- Angle Condition, 5 Real Poles, 2 Real Zeros.
- Angle Condition, 5 Real Poles, 2 Complex Conjugate Zeros.
- Angle Condition, 3 Real Poles, 2 Complex Conjugate Poles, 2 Complex Conjugate Zeros
- Angle Condition, 1 Real Poles, 2 x 2 Complex Conjugate Poles, 2 Complex Conjugate Zeros
- Angle Condition, 5th Order Polynomial
- Magnitude Condition, 3 Real Poles
- Magnitude Condition, 3 Real Poles, 1 Real Zero
- Magnitude Condition, 3 Real Poles, 1 Real Zero, Contour Plot
Distance/Velocity Lag and NonMimimum Phase
Controllers
- Introduction
- P Control 1st, 2nd, 3rd and 4th order
- First Order P, P + I Control, Step Response
- First Order P, P + I Control, Ramp Response
- First Order P, P + I Control, Disturbance
- First Order P, P + I Control, Bode Plot
- First Order P, P + I Control, Nyquist Plot
- First Order P + I Control, Root Locus
- Second Order P + D Control, Step Response
- Second Order P + D Control, Ramp Response
- Second Order P + D Control, Disturbance Response
- Second Order P + D Control, Bode Plot
- Second Order P + D Control, Nyquist Plot
- Second Order P + D Control, Root Locus
- Second Order Tachometer Control(Velocity Feedback), Step Response
- Second Order Tachometer Control, Ramp Response
- Second Order Tachometer Control, Bode Plot
- Second Order PID Control, Step Response, Bode, Nyquist, Rootlocus, Routh Hurwitz
- Second Order PID Control, Step response.
- Second Order PID Control, Controller Outputs
- Second Order PI, PD, PID Control, Ramp Response
- Second Order PI, PD, PID Control, Parabolic Response
- Second Order PI, PD, PID Control, Disturbance Response
- Second Order PI, PD, PID Control, Bode Plot
- Second Order PI, PD, PID Control, Nyquist Plot
- Second Order PI, PD, PID Control, Root Locus
- Second Order PID Control, Root Locus
- Third Order PD
Control
- Third Order PD
Control, Bode Plot
- Third Order PD Control, Nyquist Plot
- Third Order PD
Control, Root Locus
- Third Order PID
Control
- Third Order PID Control, Bode Plot
- Third Order PID Control, Nyquist Plot
- Third Order PID Control, Root Locus
- Second Order I-PD Control
State Vectors
-
State Vector Introduction.
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Second Order, Product State Vector, Step Response and Bode Plot
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Second Order, Partial Fraction State Vector, Step Response and Bode Plot
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Second Order, Companion Matrix State Vector, Step Response and Bode Plot
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Second Order, Product State Vector, Pole Placement
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Second Order, Companion Matrix State Vector, Pole Placement
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Third Order, Product State Vector, Step Response and Bode Plot
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Third Order, Product State Vector, Sine Response and Bode Plot
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Third Order, Partial Fraction State Vector, Step Response and Bode Plot
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Third Order, Companion Matrix State Vector, Step Response and Bode Plot
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Third Order, Companion Matrix State Vector, Sine Response and Bode Plot
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Third Order, Product State Vector, Pole Placement Step Response and Bode Plot
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Third Order, Product State Vector, Pole Placement Step Response and Root Locus
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Third Order, Companion Matrix State Vector, Pole Placement
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Third Order 3RP1Z, Companion Matrix State Vector, Step Response and Bode Plot
- Multi Input,
Introduction
- Multi Input,
Root Locus, Step and Sine Response
Nonlinearities
-
Nonlinear Introduction.
-
First Order, On Off Control, Step Response and Bode Plot
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Second Order, On Off Control, Step Response and Bode Plot
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Second, Third Order, Saturation, Step Response and Bode Plot
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Second Order, Nonlinear Oscillator, Frequency and Amplitude dependence.
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Second order Cubic Nonlinearity, Step Response
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Third order Cubic Nonlinearity, Step, Sine Response
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Second Order, Dead Band, Step Response and Bode Plot
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Second Order, Back Lash and Describing Function
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Second Order, Van Der Pol Limit Cycles
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Second Order, Nonlinear Pendulum, Chaotic Response
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Second Order 2RP, Phase Plane
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Second Order 2RP1Z, Phase Plane
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Third Order 3Rp, Phase Plane
Sampled Systems
For the Z transform used in the analysis
of sampled systems see:-
DSP
-
First Order Type Zero, P Control Step and Ramp response
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First Order Type Zero, P Control Sine and Impulse response
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First Order Type One, P Control Step and Ramp response
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First Order Type One, P Control Sine and Impulse response
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First Order Type Zero, PI Control Closed loop Pole Zero
locations.
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First Order Type Zero, PI Control Step and Ramp response, Z Transfer Function
-
First Order Type Zero, PI Control Step and Ramp response, Finite Difference Trapezoidal Approximation
-
First Order Type Zero, PI Control Frequency response, Z Transfer Function and Finite Difference Approximation
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Second Order Type Zero, P Control Step Response and Bode Plot
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Second Order Type Zero, P Control Step Response and Root Locus
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Third Order Type Zero, P Control Step Response and Bode Plot
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Third Order Type Zero, P Control Step Response and Root Locus
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Second Order Type Zero, PD Control Root Locus
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Second Order Type Zero, PD Control Step and Ramp response, Z Transfer Function
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Second Order Type Zero, PD Control Step and Frequency response, Z Transfer Function
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Second Order Type Zero, PD Control Step Response and Root Locus, Z Transfer Function
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Second Order Type Zero, PD Control Step and Ramp response, Finite Difference Approximation
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Second Order Type Zero, PD Control Step and Frequency response, Finite Difference Approximation
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Second Order Type Zero, PD Control Step Response and Root Locus, Finite Difference Approximation
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Second Order Type Zero, PID Control Step and Ramp response, Finite Difference Approximation
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Second Order Type Zero, PID Control Step Response and Bode Plot, Finite Difference Approximation
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Second Order Type Zero, PID Control Step Response and Root Locus, Finite Difference Approximation
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Second Order Type Zero, PID Control Root Locus
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Second Order Type One, Lead Compensator Ramp response, Finite Difference Approximation
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Second Order Type One, Lead Compensator Step Response and Bode Plot, Finite Difference Approximation
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Second Order Type One, Lead Compensator Step Response and Root Locus, Finite Difference Approximation
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Second Order Type One, Lag Compensator Ramp response, Finite Difference Approximation
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Second Order Type One, Lag Compensator Step Response and Bode Plot, Finite Difference Approximation
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Second Order Type One, Lag Compensator Step Response and Root Locus, Finite Difference Approximation
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Second Order Type One, LagLead Compensator Ramp response, Finite Difference Approximation
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Second Order Type One, LagLead Compensator Step Response and Bode Plot, Finite Difference Approximation
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Second Order Type One, LagLead Compensator Step Response and Root Locus, Finite Difference Approximation
For Digital Signal Processing see:-
Dspcan
For Analog Signal Processing see:-
cnyack
For Circuits see:-
circuits-can
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Copyright © 2006 Cuthbert A. Nyack. Send Feedback on improvements
or any questions to:-
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