Root Locus Stability Criteria
MATLAB Analysis of impulse responses and root loci of overdamped, underdamped, and critically damped transfer functions
We used MATLAB to plot the impulse responses of several transfer functions. We examined the response of an overdamped, underdamped, and critically damped function. MATLAB can also plot the root locus using the zplane command. This command plots the zeroes and poles of the transfer function. On the plot zeroes are represented with an 'o' and poles with an 'x'. In each gallery there is a xy plane plot, a zplane plot, and the MATLAB code used to generate the plots.
plot of a transfer function with an underdamped response
root locus of a transfer function with an underdamped response
MATLAB code used to generate the plots for the underdamped transfer funciton
plot of a transfer function with an underdamped response
plot of the impulse response of a critically damped transfer function
root locus of a critically damped response
MATLAB code used to generate plots of the critically damped response
plot of the impulse response of a critically damped transfer function
plot of an overdamped impulse response
root locus of an overdamped response
MATLAB code used to generate the plots of the overdamped transfer function
plot of an overdamped impulse response
