IsSystem - Maple Help

DynamicSystems

 IsSystem
 verify the content of a system object

 Calling Sequence IsSystem(sys)

Parameters

 sys - System; system object to verify

Description

 • The IsSystem command checks the validity of the system object.
 • If sys is a valid system object, return true. If sys contains errors, return false.
 • To determine the problem with a system that fails, use DynamicSystems[Verify].

Examples

 > $\mathrm{with}\left(\mathrm{DynamicSystems}\right):$
 > $\mathrm{sys1}≔\mathrm{NewSystem}\left(\right):$
 > $\mathrm{PrintSystem}\left(\mathrm{sys1}\right)$
 $\left[\begin{array}{l}{\mathbf{Algebraic Equation}}\\ {\mathrm{continuous}}\\ {\mathrm{1 output\left(s\right); 1 input\left(s\right)}}\\ {\mathrm{inputvariable}}{=}\left[{u}{}\left({t}\right)\right]\\ {\mathrm{outputvariable}}{=}\left[{y}{}\left({t}\right)\right]\\ {\mathrm{ae}}{=}\left[{y}{}\left({t}\right){=}{u}{}\left({t}\right)\right]\end{array}\right$ (1)
 > $\mathrm{IsSystem}\left(\mathrm{sys1}\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{sys2}≔\mathrm{NewSystem}\left(\frac{s}{{s}^{3}+5{s}^{2}+7s+6}\right):$

Modify the tf member of sys2 to make it nonrational polynomial (in s).

 > $\mathrm{sys2}:-\mathrm{tf}≔⟨⟨\frac{{ⅇ}^{s}}{{s}^{3}+5{s}^{2}+7s+6}⟩⟩:$
 > $\mathrm{PrintSystem}\left(\mathrm{sys2}\right)$
 $\left[\begin{array}{l}{\mathbf{Transfer Function}}\\ {\mathrm{continuous}}\\ {\mathrm{1 output\left(s\right); 1 input\left(s\right)}}\\ {\mathrm{inputvariable}}{=}\left[{\mathrm{u1}}{}\left({s}\right)\right]\\ {\mathrm{outputvariable}}{=}\left[{\mathrm{y1}}{}\left({s}\right)\right]\\ {{\mathrm{tf}}}_{{1}{,}{1}}{=}\frac{{{ⅇ}}^{{s}}}{{{s}}^{{3}}{+}{5}{}{{s}}^{{2}}{+}{7}{}{s}{+}{6}}\end{array}\right$ (3)
 > $\mathrm{IsSystem}\left(\mathrm{sys2}\right)$
 ${\mathrm{true}}$ (4)
 > $\mathrm{tf_mimo_z}≔\mathrm{Matrix}\left(\left[\left[\frac{1}{{z}^{2}},\frac{{z}^{2}}{{z}^{3}+5{z}^{2}+7z+6}\right],\left[\frac{1}{z},\frac{c}{{z}^{2}+az+b}\right]\right]\right):$
 > $\mathrm{sys3}≔\mathrm{NewSystem}\left(\mathrm{tf_mimo_z},\mathrm{discrete},\mathrm{sampletime}=0.001,\mathrm{systemname}="Sample discrete MIMO system"\right):$
 > $\mathrm{PrintSystem}\left(\mathrm{sys3}\right)$
 $\left[\begin{array}{l}{\mathbf{Transfer Function}}\\ {\mathrm{discrete; sampletime = .1e-2}}\\ {\mathrm{systemname}}{=}{\mathrm{Sample discrete MIMO system}}\\ {\mathrm{2 output\left(s\right); 2 input\left(s\right)}}\\ {\mathrm{inputvariable}}{=}\left[{\mathrm{u1}}{}\left({z}\right){,}{\mathrm{u2}}{}\left({z}\right)\right]\\ {\mathrm{outputvariable}}{=}\left[{\mathrm{y1}}{}\left({z}\right){,}{\mathrm{y2}}{}\left({z}\right)\right]\\ {{\mathrm{tf}}}_{{1}{,}{1}}{=}\frac{{1}}{{{z}}^{{2}}}\\ {{\mathrm{tf}}}_{{2}{,}{1}}{=}\frac{{1}}{{z}}\\ {{\mathrm{tf}}}_{{1}{,}{2}}{=}\frac{{{z}}^{{2}}}{{{z}}^{{3}}{+}{5}{}{{z}}^{{2}}{+}{7}{}{z}{+}{6}}\\ {{\mathrm{tf}}}_{{2}{,}{2}}{=}\frac{{c}}{{{z}}^{{2}}{+}{a}{}{z}{+}{b}}\end{array}\right$ (5)
 > $\mathrm{IsSystem}\left(\mathrm{sys3}\right)$
 ${\mathrm{true}}$ (6)