plot zeros and poles of a linear system - Maple Help

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DynamicSystems[ZeroPolePlot] - plot zeros and poles of a linear system

Calling Sequence

ZeroPolePlot (sys, opts)

Parameters

sys

-

System; system object to plot

opts

-

(optional) equation(s) of the form option = value; specify options for the ZeroPolePlot command

Description

• 

The ZeroPolePlot command plots the zeros and poles of a subsystem of sys, a System object. The zeros correspond to the roots of the numerator of the transfer-function of sys, the poles to the roots of the denominator.

• 

The roots are plotted on the complex plane. The horizontal axis corresponds to the real part of the roots, the vertical axis to the imaginary part.

• 

Zeros are plotted as circles, poles are plotted as crosses.

• 

The default plot-option axes is set to boxed; this permits viewing a pole (cross) that would otherwise lie on an axis.

• 

For a multi-input/multi-output system, some or all of the subsystems can be selected. The option subsystem selects the subsystems.

• 

The ZeroPolePlot command takes all standard plot,options. For the special syntax that ZeroPolePlot uses with the color option, see below.

Examples

withDynamicSystems:

Create a system with two inputs and two outputs:

sys:=TransferFunctionss+1+I10s+1I10|1s+1,1s+3I7s+3+I7|1s+3s+5:

sys:-tf

ss2+2s+1011s+11s2+6s+581s2+8s+15

(1)

ZeroPolePlotsys,color=red,green,blue,brown,title=Zeros and Poles

ZeroPolePlotsys,subsystem=1,1,color=red,title=System [1,1]

ZeroPolePlotsys,subsystem=1,2,2,1,color=red,blue,title=Systems [1,2] and [2,1]

dx:=ZeroPolePlotsys,output=data

dx:=0.,1.00000000010.00000000I,1.+10.00I,,3.0000000007.000000000I,3.+7.000000000I,,1.,,5.,3.000000000

(2)

The commands to create the plot from the Plotting Guide are

sys_z:=TransferFunction403z4200z3420z2+300z70,discrete,sampletime=0.1:

ZeroPolePlotsys_z,color=red,title=Discrete System

See Also

DynamicSystems, DynamicSystems[RootLocusPlot], DynamicSystems[SystemObject]


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