how can convert 2nd order ODE with two variables to state space?
-1
how can convert 2nd order ODE with two variables to state space?
d2y/dt2= ay(t)+bx(t)+cu(t),
y(t)== variable(1) and output,
x(t)==variable(2),
u(t)==input
mathematical-physics
asked Nov 22 at 3:44
Isaac
11
add a comment |
-1
how can convert 2nd order ODE with two variables to state space?
d2y/dt2= ay(t)+bx(t)+cu(t),
y(t)== variable(1) and output,
x(t)==variable(2),
u(t)==input
mathematical-physics
asked Nov 22 at 3:44
Isaac
11
really my system is complex and this is just apart of it for not confusing the other
– Isaac
Nov 22 at 4:05
Really I have the below equation and I want to design some control technique by matlab in command window , but I cant write 2nd order ode equation with two variables in MATLAB
– Isaac
Nov 22 at 5:17
The standard "trick" is to introduce a new variable, say $z$. Then put $frac{dy}{dt} = z$ and $frac{dz}{dt} = ay(t) + bx(t) + cu(t)$.
– Fabio Somenzi
Nov 22 at 5:25
so, how I represent this equation in state space model?
– Isaac
Nov 22 at 5:32
add a comment |
-1
-1
-1
how can convert 2nd order ODE with two variables to state space?
d2y/dt2= ay(t)+bx(t)+cu(t),
y(t)== variable(1) and output,
x(t)==variable(2),
u(t)==input
mathematical-physics
asked Nov 22 at 3:44
Isaac
11
how can convert 2nd order ODE with two variables to state space?
d2y/dt2= ay(t)+bx(t)+cu(t),
y(t)== variable(1) and output,
x(t)==variable(2),
u(t)==input
mathematical-physics
mathematical-physics
asked Nov 22 at 3:44
Isaac
11
asked Nov 22 at 3:44
Isaac
11
asked Nov 22 at 3:44
Isaac
11
asked Nov 22 at 3:44
Isaac
11
asked Nov 22 at 3:44
Isaac
11
11
really my system is complex and this is just apart of it for not confusing the other
– Isaac
Nov 22 at 4:05
Really I have the below equation and I want to design some control technique by matlab in command window , but I cant write 2nd order ode equation with two variables in MATLAB
– Isaac
Nov 22 at 5:17
The standard "trick" is to introduce a new variable, say $z$. Then put $frac{dy}{dt} = z$ and $frac{dz}{dt} = ay(t) + bx(t) + cu(t)$.
– Fabio Somenzi
Nov 22 at 5:25
so, how I represent this equation in state space model?
– Isaac
Nov 22 at 5:32
add a comment |
really my system is complex and this is just apart of it for not confusing the other
– Isaac
Nov 22 at 4:05
Really I have the below equation and I want to design some control technique by matlab in command window , but I cant write 2nd order ode equation with two variables in MATLAB
– Isaac
Nov 22 at 5:17
The standard "trick" is to introduce a new variable, say $z$. Then put $frac{dy}{dt} = z$ and $frac{dz}{dt} = ay(t) + bx(t) + cu(t)$.
– Fabio Somenzi
Nov 22 at 5:25
so, how I represent this equation in state space model?
– Isaac
Nov 22 at 5:32
really my system is complex and this is just apart of it for not confusing the other
– Isaac
Nov 22 at 4:05
really my system is complex and this is just apart of it for not confusing the other
– Isaac
Nov 22 at 4:05
Really I have the below equation and I want to design some control technique by matlab in command window , but I cant write 2nd order ode equation with two variables in MATLAB
– Isaac
Nov 22 at 5:17
Really I have the below equation and I want to design some control technique by matlab in command window , but I cant write 2nd order ode equation with two variables in MATLAB
– Isaac
Nov 22 at 5:17
The standard "trick" is to introduce a new variable, say $z$. Then put $frac{dy}{dt} = z$ and $frac{dz}{dt} = ay(t) + bx(t) + cu(t)$.
– Fabio Somenzi
Nov 22 at 5:25
The standard "trick" is to introduce a new variable, say $z$. Then put $frac{dy}{dt} = z$ and $frac{dz}{dt} = ay(t) + bx(t) + cu(t)$.
– Fabio Somenzi
Nov 22 at 5:25
so, how I represent this equation in state space model?
– Isaac
Nov 22 at 5:32
so, how I represent this equation in state space model?
– Isaac
Nov 22 at 5:32
add a comment |
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really my system is complex and this is just apart of it for not confusing the other
– Isaac
Nov 22 at 4:05
Really I have the below equation and I want to design some control technique by matlab in command window , but I cant write 2nd order ode equation with two variables in MATLAB
– Isaac
Nov 22 at 5:17
The standard "trick" is to introduce a new variable, say $z$. Then put $frac{dy}{dt} = z$ and $frac{dz}{dt} = ay(t) + bx(t) + cu(t)$.
– Fabio Somenzi
Nov 22 at 5:25
so, how I represent this equation in state space model?
– Isaac
Nov 22 at 5:32