Use MATLAB to obtain poles and zeros of Fx 10s3 60s2 80s

Use MATLAB to obtain poles and zeros of: F(x) = 10s^3 + 60s^2 + 80s + 40/s^3 + 8s^2 + 10s F(s) = s^2 + 5/s^7 + 2s^6 + 2s^5 + s^4 + s^3 + 2s^2 + s + 1

Solution

syntax is

sys = zpk(Z,P,K)
sys = zpk(Z,p,k,Ts)
sys = zpk(M)
sys = zpk(Z,p,k,ltisys)
s = zpk(\'s\')
z = zpk(\'z\',Ts)
zsys = zpk(sys)
zsys = zpk(sys, \'measured\')
zsys = zpk(sys, \'noise\')
zsys = zpk(sys, \'augmented\'

Description

Used zpk to create zero-pole-gain models (zpk model objects), or to convert dynamic systems to zero-pole-gain form.

Creation of Zero-Pole-Gain Models

sys = zpk(Z,P,K) creates a continuous-time zero-pole-gain model with zeros Z, poles P, and gain(s) K. The output sys is a zpk model object storing the model data.

In the SISO case, Z and P are the vectors of real- or complex-valued zeros and poles, and K is the real- or complex-valued scalar gain:

h(s)=k(sz(1))(sz(2))…(sz(m))(sp(1))(sp(2))…(sp(n))

Set Z or p to [] for systems without zeros or poles. These two vectors need not have equal length and the model neednot be proper (that is, have an excess of poles).