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STEADYSTATEER...

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Using MATLAB to Solve for Steady State Errors

Static error constants are found using lim s nG(s) as s —• 0. Once the static error constant is found, we can evaluate the steady-state error. To evaluate the static error constant we can use the command dcgain (G), which evaluates G(s) at s = 0. Let us look at the following unity feedback system:

Here’s the MATLAB code that solves for the step, ramp and parabolic input steady-state errors for the system above:

Another great use of MATLAB is to evaluate the gain, K, required to meet a steady-state error specification. Consider the system shown:

What value of K will give a 10% error in the steady state?

Here’s the MATLAB code for that:...