Lag-lead compensation

Using the information in the attached screenshots, I am to design a passive lag-lead compensator to achive 5% steady state error with a transcient response of 10% and a settling time of 60s for a step input. Am I able to achieve this in MATLAB?

[John D'Errico]

Why not? That is, why not try, and if you have a problem, then ask for help in correcting what you did, rather than just ask a leading question hoping someone will do your task for you.

[Reynier Serpa]

It's not so much looking for someone else to do the task for me but maybe someone can point me in the right direction. I've used the SISOTOOL before and I am able to adjust for a parameter but never three parameters at a time, especially steady state error which I am not familiar with.

[David Wilson]

Here is something to get you started. Note that I have not done the hard part, which is to design your compensator.

Below I have set , you will need to adjust that following a design procedure in your textbook.

I have not used the sisotool below, but did everything in raw control toolbox functions.

%% Lead/Lag
Gv = tf(0.02,[4 1]); G1 = tf(70,[50 1]); H = tf(1,[12 1]); 
Gc = tf(1); % dummy static gain

Gol = Gc*Gv*G1; % Openloop: I'm assuming Gp = G1
Gcl = feedback(Gol,H); % closed loop

step(Gcl) % look at the response
stepinfo(Gcl) % extract key data for your design

[Raj]

You can explore and use the "controlSystemDesigner". Its pretty graphical and user friendly. See details here.

You can get back if you have any doubts and get stuck somewhere.