control-system/README.md

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# routh_table
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This repo is belong to Control System class contains with Automated Routh Table Calculator based on Python. This code 100% original made by my hand :), please leave some notes if you're going to use it. Thanks!
## Libraries
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Libraries that used in this program is ```numpy``` and ```pandas```. ```numpy``` works to define and perform array while ```pandas``` is the final form after ```numpy.array``` to simplify the presentation. They imported by write..
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```
import numpy as np
import pandas as pd
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```
## RouthStability Class
This class contains lots of procedures to simplify our Routh Stability Table Generator process.
```
def __init__(self, den):
self.den = np.array([float(item) for item in den.split()])
self.deg = len(self.den)
```
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The constructor ```__init__``` takes string of coefficiens from polynomial, extract the number, and load into class variable. It also define ```self.deg``` variable to save array's length, reducing number to calling ```len()``` function
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```
def set_k(self, k):
self.den = np.append(self.den, float(k))
self.deg += 1
```
This function only takes one number from user and append it to ```self.den``` which defined as gain (constant). Also ```self.deg``` will increase by one
```
def calc_routh(self):
height = (self.deg+1)//2
arr = np.zeros((height + 2,height))
for index in range(self.deg):
if index % 2 == 0:
arr[0][index//2] = self.den[index]
else:
arr[1][(index-1)//2] = self.den[index]
for i in range(2, height+2):
for j in range(height-1):
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arr[i][j] = (arr[i-1][0]*arr[i-2][j+1] - arr[i-2][0]*arr[i-1][j+1])/arr[i-1][0]
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arr[i][j] += 0
self.df = pd.DataFrame(arr)
self.show_tab()
if self.is_stable() == True:
print("SYSTEM IS STABLE")
else:
print("SYSTEM IS UNSTABLE")
```
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```calc_routh(self)``` as the core process of this class contains initialization and process about Routh Stability Process. Firstly, it define an empty zero (basically it filled with zeros) and iteratively being inserted by ```self.den``` (refering to Routh Table principle). After that, each cell will be updated by calculating Routh Table formula. Routh Table defined as ```numpy.ndarray``` and converted to ```pandas.DataFrame``` to simplify the presentation of table. ```self.show_tab()``` is called to print the Routh Table and ```self.is_stable()``` to check system's stability.
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```
def show_tab(self):
print(self.df)
```
This function print the Routh Table, should be called only if Routh Table is generated by ```calc_routh```
```
def get_table(self):
return self.df
```
This function return ```pandas.DataFrame``` contained by Routh Table
```
def is_stable(self):
flag = True
for item in self.df[0]:
if item < 0: flag = False
return flag
```
This function check the first column's value from Routh Table. The system is define as stable if and only if all the value is positive, else it's unstable
```
def get_poly(self, x):
total = 0
for i in range(self.deg):
total += self.den[self.deg-i-1]*(x**i)
print(total)
return total
```
This function initialize ```x``` value as variable on ```self.den``` polynomial and return the total
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## Testing 1
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The testing can follow below example:
```
# First Testing
den = input("Enter your polynomial: ")
k_in = input("Enter your K: ")
rs = RouthStability(den)
rs.set_k(k_in)
rs.calc_routh()
```
It takes coefficient of polynomial and K from user, insert it into ```RouthStability``` class as constructor parameter, insert the K value, and generate Routh Table. The result can be found below:
```
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Enter your polynomial: 1 3 5 7
Enter your K: 9
0 1 2
0 1.000000 5.0 9.0
1 3.000000 7.0 0.0
2 2.666667 9.0 0.0
3 -3.125000 0.0 0.0
4 9.000000 -0.0 0.0
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SYSTEM IS UNSTABLE
```
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## Testing 2
```
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Enter your polynomial: 11 15 19 21
Enter your K: 29
0 1 2
0 11.000000 19.0 29.0
1 15.000000 21.0 0.0
2 3.600000 29.0 0.0
3 -99.833333 0.0 0.0
4 29.000000 -0.0 0.0
SYSTEM IS UNSTABLE
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```
## Testing 3
```
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Enter your polynomial: 1.2 6.78 11.11
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Enter your K: 3.141
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0 1
0 1.200000 11.110
1 6.780000 3.141
2 10.554071 0.000
3 3.141000 0.000
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SYSTEM IS STABLE
```
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### Notes
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Contact nanda.r.d@mail.ugm.ac.id for more information
### Links
You can access the source code here
[github.com/nandard/routh_table.git](https://github.com/nandard/routh_table.git)