Modern Control System Theory and Design, 2nd Edition

2.9.  INVERSION WITH PARTIAL FRACTION EXPANSION USING MATLAB [6]

Having presented the fundamentals of MATLAB in Section 2.8, let us now return to the problem we addressed in Section 2.7 on obtaining the inverse Laplace transform using partial fraction expansion. However, in this section, we will obtain the partial fraction expansion using MATLAB.

Table 2.2. Commands and Functions used by MATLAB [6]

Commands and Matrix Functions	Description
angle	Phase angle
ans	Answer when expression is not assigned
asin	Arcsine
atan	Arctangent
axis	Manual axis scaling on plots
bode	Plot Bode diagram (available only with Control SystemToolbox, and the Student Edition of MATLAB)
clear	Remove items from memory and clear workspace
clg	Clear graph’s screen
conj	Complex conjugate
conv	Multiplication; convolution
cos	Cosine
cosh	Hyperbolic cosine
cov	Covariance
deconv	Division; deconvolution
det	Determinant
disp	Display text or matrix
end	Terminates scope or “for,” “while,” and “if” statements
exit	Terminates program
exp	Exponential base e
eye	Identity matrix
figure	Opens new graphic window by creating figure object
grid	Draws grid lines for 2-D and 3-D plots
help	Online help for MATLAB functions and m-files
hold	Hold the current graph
home	Sends the cursor “home” to the upper left of the screen
imag	Imaginary part
inf	Infinity
inv	Matrix inverse
length	Length of vector
linspace	Generate linearly spaced vectors
log	Natural logarithm ...