Question

Can you Solve in matlab please I can't. I need to matlab answer.

Where a, b and K are positive real numbers. What is the condition for a and b for Gc(s) to be lead network?

the question there is modern control engineering book by ogata 4th edition can u check there please. I wrote all of the given by questin. The question number is B-7-4 (Modern Control Engineering 4th edition / Ogata ).

B-7-4. Consider the following Ge(s): s + b s+ a B-7-4. Consider the following G.(s): s + b st a

Answer 1

for lead compensator, zero is nearer to origin compare to pole.

hence while taking the pole,zeros follow the following condition

zero < pole

here i created a function that can ask you enter the vlues of poles,zeros..

according to above mentioned theory enter the poles,zeros and gain..

in this problem i followed bode plot concept. generally lead compensator or,network are nothing but high pass filter..in which higher order frequencies are allowed and lower order frequencies are suppressed..

matlab function:

function bodefn=bodefn(sys)
p=input('enter the poles of the system=')
z=input('enter the zeros of the sytem=')
k=input('enter the value of gain=')
sys=zpk(z,p,k)
bode(sys)
grid on
end

output:

>> clear
>> bodefn
enter the poles of the system=-4

p =

-4

enter the zeros of the sytem=-2

z =

-2

enter the value of gain=1

k =

1

sys =

(s+2)
-----
(s+4)

Continuous-time zero/pole/gain model.

Bode Diagram 0 C0 -2 E-6 -8 20 O 15 10 100 10 10 10 Frequency (rad/s)