/sci/ - Science & Math » Thread #12583885

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State Space Form and Linearization

Anonymous Fri 15 Jan 07:43:46 2021 No.12583885 View Reply Original Report

Quoted By: >>12584030 >>12586049

Systems and controls anyone good at this shit ?
need your help with some really basic shit.

Anonymous

Anonymous Fri 15 Jan 2021 07:50:58 No.12583894 Report

Quoted By:

>>>/hw/

Anonymous

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Anonymous Fri 15 Jan 2021 09:18:33 No.12584030 Report

Quoted By: >>12584536

>>12583885
the best part is nobody even uses this shit in industry

t. controls engineer

Anonymous

Anonymous Fri 15 Jan 2021 13:03:19 No.12584536 Report

Quoted By:

>>12584030
So what does the industry use? The only thing I've ever used for control systems is PID and it works for 95% of cases, the other 5% could be solved with 2 PID loops
t. embedded developer

Anonymous

Anonymous Fri 15 Jan 2021 13:26:29 No.12584602 Report

Quoted By: >>12584969

They want both x(t) and y(t) = v(t)? Huh?

And eq 1 is nonlinear since you have v(t)^2 in the 2nd term.

Anonymous

Anonymous Fri 15 Jan 2021 15:44:04 No.12584969 Report

Quoted By:

>>12584602
x is usually the state vector & y the output vector, so it's perfectly reasonable to set the two to the same variable if the state is entirely observable (or if every element in the state is something of importance).

Anonymous

Anonymous Fri 15 Jan 2021 21:35:55 No.12586049 Report

Quoted By:

>>12583885
This is some basic shit
> $x(t) = v(t)$
this just tells you the velocity vector is the state vector
> $u(t) = f(t)$
this just tells you that the force on the vehicle is the control vector
> $y(t) = v(t)$
this just means the output matrix of the measurement equation is the identity; the measured quantity vector is just the state vector, hence, the measured quantity vector is the velocity of the vehicle.

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