<Text-field style="Heading 2" layout="Heading 2">Second Order System</Text-field>

Consider the standard second order system

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KiYpJkkmb21lZ2FHNiI2I0kibkdGJiIiIyIiIiwoKiQpSSJzR0YmRilGKkYqKipGKUYqSSN4aUdGJkYqRiRGKkYuRipGKiokRiNGKkYqISIi

The roots of the system can be written using the polar elements as

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

SSZmYWxzZUclKnByb3RlY3RlZEc=

or the rectangular elements as

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

We can transition between the two sets of variables using the pair of equations:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kmc2lnbWFHNiIqJkkjeGlHRiQiIiImSSZvbWVnYUdGJDYjSSJuR0YkRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2KS1GLDYlUS5kYW1wZWRGcmVxRXFuRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlEtSSVtc3ViR0YkNiUtRiw2JVEoJm9tZWdhO0YnL0Y1RkJGPi1GIzYjLUYsNiVRImRGJ0Y0RjcvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GOzYtUSI9RidGPkZARkNGRUZHRklGS0ZNRk9GUi1GVTYlRlctRiM2Iy1GLDYlUSJuRidGNEY3RmpuLUY7Ni1RJyZzZG90O0YnRj5GQEZDRkVGR0ZJRktGTS9GUFEmMC4wZW1GJy9GU0ZbcC1JJm1zcXJ0R0YkNiMtRiM2JS1JI21uR0YkNiRRIjFGJ0Y+LUY7Ni1RKCZtaW51cztGJ0Y+RkBGQ0ZFRkdGSUZLRk0vRlBRLDAuMjIyMjIyMmVtRicvRlNGanAtSSVtc3VwR0YkNiUtRiw2JVElJnhpO0YnRlpGPi1GIzYjLUZjcDYkUSIyRidGPi8lMXN1cGVyc2NyaXB0c2hpZnRHRlxvRis=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyZJJm9tZWdhRzYiNiNJImRHRiUqJiZGJDYjSSJuR0YlIiIiKSwmRixGLCokKUkjeGlHRiUiIiNGLCEiIiNGLEYyRiw=

<Text-field style="Heading 2" layout="Heading 2">Time Domain Specifications</Text-field>

There are several specifications that are of interest to the controls engineer.

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyZJInRHNiI2I0kicEdGJSomSSNQaUclKnByb3RlY3RlZEciIiImSSZvbWVnYUdGJTYjSSJkR0YlISIi

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyZJIk1HNiI2I0kicEdGJS1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjLCQqKEkjUGlHRisiIiJJI3hpR0YlRjEpLCZGMUYxKiQpRjIiIiNGMSEiIiNGMUY3RjhGOA==

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyZJInRHNiI2I0kic0dGJSwkKiYkIiNZISIiIiIiSSZzaWdtYUdGJUYsRi0=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyZJInRHNiI2I0kickdGJSwkKiYkIiM9ISIiIiIiJkkmb21lZ2FHRiU2I0kibkdGJUYsRi0=

JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Complex Plane and Time Domain Response</Text-field>

JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GNjYtUSI9RidGMkY5RjtGPUY/RkFGQ0ZFL0ZIUSwwLjI3Nzc3NzhlbUYnL0ZLRlBGNUYy

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NTA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GNjYtUSI9RidGMkY5RjtGPUY/RkFGQ0ZFL0ZIUSwwLjI3Nzc3NzhlbUYnL0ZLRlBGNUYy

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Rectangular Performance Specs

Polar Performance Specs

Settling Time LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRInNGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUScmIzk2MztGJy9GM1EmZmFsc2VGJy9GNlEnbm9ybWFsRidGSkZKRko=

use DocumentTools in # Enter Maple commands to be executed when the specified # action is carried out on the component. # Use: # Do( %component_name ); # and # Do( %component_name = value ); # to set and get properties of the component. # You can also use arbitrary expressions # involving components, e.g.: # Do( %target = %input1 + 2*%input2 ); # Note the %-prefix to each component name. # See ?CustomizingComponents for more information. settlingTime := Do(%Slider0); peakTime := Do(%Slider2); parameters := UpdatePlotsXY(); updateTextAreas(); sys := TransferFunction(subs(parameters, tf)); DocumentTools:-Do(%StepResponseDisplay = ResponsePlot(sys, Step(), view = timeDomainView)); zpp := ZeroPolePlot(sys, view = frequencyDomainView); guidelines := plot(subs(parameters, [omega[d], -omega[d]]), x, view = frequencyDomainView, color = "LightGray", labels=["",""]); Do(%PoleZeroDisplay = plots:-display(guidelines, zpp)); end use;

JSFH

Rise Time LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRInJGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlLUYvNiVRJyYjOTY5O0YnL0YzUSZmYWxzZUYnL0Y2USdub3JtYWxGJy1GIzYlLUYvNiVRIm5GJ0YyRjVGMkY1Rj1GTEZMRkw=

use DocumentTools in # Enter Maple commands to be executed when the specified # action is carried out on the component. # Use: # Do( %component_name ); # and # Do( %component_name = value ); # to set and get properties of the component. # You can also use arbitrary expressions # involving components, e.g.: # Do( %target = %input1 + 2*%input2 ); # Note the %-prefix to each component name. # See ?CustomizingComponents for more information. riseTime := Do(%Slider1); overshoot := Do(%Slider3); parameters := UpdatePlotsPolar(); updateTextAreas(); sys := TransferFunction(subs(parameters, tf)); DocumentTools:-Do(%StepResponseDisplay = ResponsePlot(sys, Step(), view = timeDomainView)); zpp := ZeroPolePlot(sys, view = frequencyDomainView); guidelines := plot([subs(parameters, omega[d]*x/sigma), -subs(parameters, omega[d]*x/sigma)], x, view = frequencyDomainView, color = "LightGray", labels = ["", ""]); Do(%PoleZeroDisplay = plots:-display(guidelines, zpp)); end use;

JSFH

Time to Peak LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRInBGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlLUYvNiVRJyYjOTY5O0YnL0YzUSZmYWxzZUYnL0Y2USdub3JtYWxGJy1GIzYlLUYvNiVRImRGJ0YyRjVGMkY1Rj1GTEZMRkw=

use DocumentTools in # Enter Maple commands to be executed when the specified # action is carried out on the component. # Use: # Do( %component_name ); # and # Do( %component_name = value ); # to set and get properties of the component. # You can also use arbitrary expressions # involving components, e.g.: # Do( %target = %input1 + 2*%input2 ); # Note the %-prefix to each component name. # See ?CustomizingComponents for more information. settlingTime := Do(%Slider0); peakTime := Do(%Slider2); parameters := UpdatePlotsXY(); updateTextAreas(); sys := TransferFunction(subs(parameters, tf)); DocumentTools:-Do(%StepResponseDisplay = ResponsePlot(sys, Step(), view = timeDomainView)); zpp := ZeroPolePlot(sys, view = frequencyDomainView); guidelines := plots:-implicitplot(subs(parameters, x = -sigma), x = frequencyDomainView[1], y = frequencyDomainView[2], view = frequencyDomainView, color = "LightGray", labels=["",""]); Do(%PoleZeroDisplay = plots:-display(guidelines, zpp)); end use;

JSFH

Overshoot LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEiTUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRInBGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLzYlUScmIzk1MDtGJy9GM1EmZmFsc2VGJy9GNlEnbm9ybWFsRidGSkZKRko=

use DocumentTools in # Enter Maple commands to be executed when the specified # action is carried out on the component. # Use: # Do( %component_name ); # and # Do( %component_name = value ); # to set and get properties of the component. # You can also use arbitrary expressions # involving components, e.g.: # Do( %target = %input1 + 2*%input2 ); # Note the %-prefix to each component name. # See ?CustomizingComponents for more information. riseTime := Do(%Slider1); overshoot := Do(%Slider3); parameters := UpdatePlotsPolar(); updateTextAreas(); sys := TransferFunction(subs(parameters, tf)); DocumentTools:-Do(%StepResponseDisplay = ResponsePlot(sys, Step(), view = timeDomainView)); zpp := ZeroPolePlot(sys, view = frequencyDomainView); guidelines := plots:-implicitplot(subs(parameters[1], x^2+y^2 = omega[n]^2), x = frequencyDomainView[1], y = frequencyDomainView[2], view = frequencyDomainView, color = "LightGray", labels = ["", ""]); Do(%PoleZeroDisplay = plots:-display(guidelines, zpp)); end use;

JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH