# Control System: Routh-Hurwitz Stability Criterion with GUI MATLAB V2.9

Started by February 1, 2010
```This GUI Solve Routh-Hurwitz Stability Criterion even if all element
of
row or first element of row is zero(0)

***************************new features***************************
**1-display result in listbox (if equation is very big==> no problem
because listbox have slider to see all part of string)**

***2-change own row color(first element & all elements zero)***

3-specify row color voluntary

4-plot singular value & nichols diagram

5-plot with LTI Viewer of MATLAB

6-in Z_plane diagram if repeated poles or zeros be exist then those
show with star for poles & diamond for zeros

7-if equation have power >=10 then title of each plot correct with
titgen.m function

8-correct some small problem
******************************************************************

--------------------------future release--------------------------
specify upper & lower limit of Gain(k) for stability system.
------------------------------------------------------------------

features:

1-Calculate exactly
similar project cant solve accurate Routh-Hurwitz Stability
Criterion
for example this equation [1 1 3 3 3 2 1] have all element and
first
element zero simultaneity and i test any project and none solve
it

2-Determine where first element or all element is zero graphically
similar project show this with text and confuse us

3-Factor s=0 roots
similar project dont have this feature . This gui factor s=0
roots
and solve Routh-Hurwitz Stability Criterion

4-display number of roots
this gui show number of
4-1-repeated roots on jw axis
4-2-left half plane roots
4-3-roots on jw axis
4-4-right half plane roots
4-5-number of center roots(s=0) that factor from input
equation
4-6-number of repeated center roots(s=0) that factor from
input equation

5-display result
5-1-unstable system
5-2-boundary stable system
5-3-stable system
note: s=0 roots that factor in input equation affect on result

6-Save table of Routh-Hurwitz
you can save table of Routh-Hurwitz in .mat format for future
usage

7-Color Scheme(beautiful)
you can change Color Scheme of this GUI

8-Solve Equation
you can obtain roots of input equation with this
note: s=0 roots that factor in input equation appear here

9-step & Impulse Response
you can plot step & impulse response by determine numerator
and denominator of transfer function .
default numerator is [1] and default denominator is poly
state of input equation
note: if number of zeros greater than poles then gui give error
message

10- Z_plane Diagram
you can see Z_plane(place of zeros & Poles) in the figure

11-Root Locus & Nyquist & Bode Diagram
you can see above diagram by determine numerator & denominator
of transfer function be similar to section 9

12-support 2 Language
English & Farsi

13-Examples

14-Internal Help
this gui have internal help in html format

15-user freindly

-------------------------------------------------------------
for run this gui open matlab and run Routh_Horwitz.m
-------------------------------------------------------------
IRAN_Khozestan_Mahshahr

University Of Mahshahr

only for "Mir hossein moussavi"

************************************************************
created by amin heidari

Email: amin_heidari66@yahoo.com

Special Thanks :
Yair Altman  Email: altmany@gmail.com

01/02/2010  13:50