Transfer Function, what does s Stand for
Trying to understand what the variable s is for transfer functions (if there is a common accepted use of it). In the problem space I am working in, control theory, I believe I have seen definitions of "short period poles", "complex Laplace transform variable", and at
http://web.mit.edu/2.14/www/Handouts/PoleZero.pdf it describes s as s = sigma + j * omega (I guess as a complex variable). Any insight into one of these being correct or if I am missing a better common use, that would be appreciated.
laplace-transform control-theory
asked Dec 12 '18 at 15:44
DannyDanny
12
add a comment |
Trying to understand what the variable s is for transfer functions (if there is a common accepted use of it). In the problem space I am working in, control theory, I believe I have seen definitions of "short period poles", "complex Laplace transform variable", and at
http://web.mit.edu/2.14/www/Handouts/PoleZero.pdf it describes s as s = sigma + j * omega (I guess as a complex variable). Any insight into one of these being correct or if I am missing a better common use, that would be appreciated.
laplace-transform control-theory
asked Dec 12 '18 at 15:44
DannyDanny
12
Check out the Wikipedia Transfer Function page. I don't know what a "short period pole" is, but the other two definitions seem correct to me (even if not providing much insight).
– NickD
Dec 12 '18 at 15:55
Thanks, I appreciate the second opinion, you'd be surprised how hard it is to google any variation of "transfer function s" since every webpage has an s in it :)
– Danny
Dec 12 '18 at 15:58
1
No doubt that $s$ is a complex variable in Laplace transform. Decomposing it into $sigma+jomega$ way is dangerous because it tends to say (what you find in old books) that setting $sigma=0$ you can reach the Fourier Transform. The best way to consider the $s$ in a Laplace Transform is as a purely formal parameter.
– Jean Marie
Dec 12 '18 at 19:53
Thank you Jean! Great answer :D
– Danny
Dec 12 '18 at 21:38
add a comment |
Trying to understand what the variable s is for transfer functions (if there is a common accepted use of it). In the problem space I am working in, control theory, I believe I have seen definitions of "short period poles", "complex Laplace transform variable", and at
http://web.mit.edu/2.14/www/Handouts/PoleZero.pdf it describes s as s = sigma + j * omega (I guess as a complex variable). Any insight into one of these being correct or if I am missing a better common use, that would be appreciated.
laplace-transform control-theory
asked Dec 12 '18 at 15:44
DannyDanny
12
Trying to understand what the variable s is for transfer functions (if there is a common accepted use of it). In the problem space I am working in, control theory, I believe I have seen definitions of "short period poles", "complex Laplace transform variable", and at
http://web.mit.edu/2.14/www/Handouts/PoleZero.pdf it describes s as s = sigma + j * omega (I guess as a complex variable). Any insight into one of these being correct or if I am missing a better common use, that would be appreciated.
laplace-transform control-theory
laplace-transform control-theory
asked Dec 12 '18 at 15:44
DannyDanny
12
asked Dec 12 '18 at 15:44
DannyDanny
12
asked Dec 12 '18 at 15:44
DannyDanny
12
asked Dec 12 '18 at 15:44
DannyDanny
12
asked Dec 12 '18 at 15:44
DannyDanny
12
12
Check out the Wikipedia Transfer Function page. I don't know what a "short period pole" is, but the other two definitions seem correct to me (even if not providing much insight).
– NickD
Dec 12 '18 at 15:55
Thanks, I appreciate the second opinion, you'd be surprised how hard it is to google any variation of "transfer function s" since every webpage has an s in it :)
– Danny
Dec 12 '18 at 15:58
1
No doubt that $s$ is a complex variable in Laplace transform. Decomposing it into $sigma+jomega$ way is dangerous because it tends to say (what you find in old books) that setting $sigma=0$ you can reach the Fourier Transform. The best way to consider the $s$ in a Laplace Transform is as a purely formal parameter.
– Jean Marie
Dec 12 '18 at 19:53
Thank you Jean! Great answer :D
– Danny
Dec 12 '18 at 21:38
add a comment |
Check out the Wikipedia Transfer Function page. I don't know what a "short period pole" is, but the other two definitions seem correct to me (even if not providing much insight).
– NickD
Dec 12 '18 at 15:55
Thanks, I appreciate the second opinion, you'd be surprised how hard it is to google any variation of "transfer function s" since every webpage has an s in it :)
– Danny
Dec 12 '18 at 15:58
1
No doubt that $s$ is a complex variable in Laplace transform. Decomposing it into $sigma+jomega$ way is dangerous because it tends to say (what you find in old books) that setting $sigma=0$ you can reach the Fourier Transform. The best way to consider the $s$ in a Laplace Transform is as a purely formal parameter.
– Jean Marie
Dec 12 '18 at 19:53
Thank you Jean! Great answer :D
– Danny
Dec 12 '18 at 21:38
Check out the Wikipedia Transfer Function page. I don't know what a "short period pole" is, but the other two definitions seem correct to me (even if not providing much insight).
– NickD
Dec 12 '18 at 15:55
Check out the Wikipedia Transfer Function page. I don't know what a "short period pole" is, but the other two definitions seem correct to me (even if not providing much insight).
– NickD
Dec 12 '18 at 15:55
Thanks, I appreciate the second opinion, you'd be surprised how hard it is to google any variation of "transfer function s" since every webpage has an s in it :)
– Danny
Dec 12 '18 at 15:58
Thanks, I appreciate the second opinion, you'd be surprised how hard it is to google any variation of "transfer function s" since every webpage has an s in it :)
– Danny
Dec 12 '18 at 15:58
1
1
No doubt that $s$ is a complex variable in Laplace transform. Decomposing it into $sigma+jomega$ way is dangerous because it tends to say (what you find in old books) that setting $sigma=0$ you can reach the Fourier Transform. The best way to consider the $s$ in a Laplace Transform is as a purely formal parameter.
– Jean Marie
Dec 12 '18 at 19:53
No doubt that $s$ is a complex variable in Laplace transform. Decomposing it into $sigma+jomega$ way is dangerous because it tends to say (what you find in old books) that setting $sigma=0$ you can reach the Fourier Transform. The best way to consider the $s$ in a Laplace Transform is as a purely formal parameter.
– Jean Marie
Dec 12 '18 at 19:53
Thank you Jean! Great answer :D
– Danny
Dec 12 '18 at 21:38
Thank you Jean! Great answer :D
– Danny
Dec 12 '18 at 21:38
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Check out the Wikipedia Transfer Function page. I don't know what a "short period pole" is, but the other two definitions seem correct to me (even if not providing much insight).
– NickD
Dec 12 '18 at 15:55
Thanks, I appreciate the second opinion, you'd be surprised how hard it is to google any variation of "transfer function s" since every webpage has an s in it :)
– Danny
Dec 12 '18 at 15:58
1
No doubt that $s$ is a complex variable in Laplace transform. Decomposing it into $sigma+jomega$ way is dangerous because it tends to say (what you find in old books) that setting $sigma=0$ you can reach the Fourier Transform. The best way to consider the $s$ in a Laplace Transform is as a purely formal parameter.
– Jean Marie
Dec 12 '18 at 19:53
Thank you Jean! Great answer :D
– Danny
Dec 12 '18 at 21:38