# Control system on matlab

A satellite is launched for an astronomical mission, for which it needs to points its scientific sensor package in a specific direction. A simplified linearzed mathematical model of the above satellite is given below $$g(s)=\frac{k(s)}{T(s)}=\frac{0.036(s+25)}{s^2(s^2+0.04s+1)}$$ It is desired that when effecting a change in altitude, the new altitude must be achiveable within 20 seconds and must not have the maximam overshoot of more than 15%, where $k(s) =$ altitude angle and $T(s) =$ control torque. Solve by using matlab.

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Since you are new, I want to give some advice about the site: To get the best possible answers, you should explain what your thoughts on the problem are so far. That way, people won't tell you things you already know, and they can write answers at an appropriate level; also, people are much more willing to help you if you show that you've tried the problem yourself. If this is homework, please add the [homework] tag; people will still help, so don't worry. Also, many would consider your post rude because it is a command ("Solve..."), not a request for help, so please consider rewriting it. – Zev Chonoles Jul 1 '12 at 15:06

Hint: You can use sisotool gui (SISO Design Tool GUI)

in command window :

n=[0.036 0.036*25];
d=conv([1 0 0],[1 0.04 1]);
G=tf(n,d);
sisotool(G)


then >> SISO Design for SISO Design Task >> Analysis >> Response to step Command

in this window you can see step response of system , and you can add pole/zero to system and watch changes in step response.

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