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How can I design a (PID) Controller if I don't have a reference signal?



The Next CEO of Stack OverflowIntegration in PID controllerPID controller convergenceController design for an exponential plant of the form $y=aexp(bx)$How do I find a closed loop PID controller from a transfer function?Integrator chain with PID controller?IMC controller - What reference model should I use?How do I tune an IMC(Internal Model Control) - controller?Closed loop flow diagram - Controlling the output using another dependent quantity.How can I choose the disturbance model if I know the plant and controller - Transfer functionsCan I build an adaptive controller by using an ODE solver and a 3D graphics engine?










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$begingroup$


I have been trying to control lateral and longitudinal movement of a robot for an autonomous lane keeper project. I have no problem with the lateral movement, however I couldn2t figure out exactly how to control the longitudinal,
What I have in my mind is to lower the base speed of the vehicle as the lane angle increases (sharp turns), which can be expressed as



$$ Base_Speed=Max_Speed-K_1*Lane_angle $$



where $K_1$ is a constant that determines how much the vehicle should beslow down.



My question is how can I proceed with this longtidual speed control considering this expression seemed very basic . As of now I have no real speed information coming from sensors (encoders), but you may assume I have.



Thank you!










share|cite|improve this question









$endgroup$











  • $begingroup$
    As I understand correctly, you are missing the signal $fracddtLane_angle$. Why don't you do a differentiation on the $Lane_angle$ signal?
    $endgroup$
    – Martin Rosenau
    Mar 18 at 12:17










  • $begingroup$
    Hello Martin, thank you for your answer. I can differentiate the angle signal, however, I couldn't figure out exactly how it fits in the control system. Assuming I supple this angle information as a feedback, the structure lacks a reference signal to compare. Or doesn't it?
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 12:53










  • $begingroup$
    Edit : @MartinRosenau I forgot to mention you.
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 15:12










  • $begingroup$
    Shouldn't you just use 0 as the reference signal for $d_t textLane_textangle$? If there's no change in the rate at which a turn is occurring, shouldn't the speed stay constant in regards to rate of turn?
    $endgroup$
    – Michael Sparapany
    Mar 18 at 17:33










  • $begingroup$
    Hi @MichaelSparapany it is a rather interesting idea, I also tought giving a zero ref, but how about the controlled variable. I do not have a control over the lane angle. Do you suggest a block diagram similar to what I posted below? Thank you anyway!
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 19:36
















0












$begingroup$


I have been trying to control lateral and longitudinal movement of a robot for an autonomous lane keeper project. I have no problem with the lateral movement, however I couldn2t figure out exactly how to control the longitudinal,
What I have in my mind is to lower the base speed of the vehicle as the lane angle increases (sharp turns), which can be expressed as



$$ Base_Speed=Max_Speed-K_1*Lane_angle $$



where $K_1$ is a constant that determines how much the vehicle should beslow down.



My question is how can I proceed with this longtidual speed control considering this expression seemed very basic . As of now I have no real speed information coming from sensors (encoders), but you may assume I have.



Thank you!










share|cite|improve this question









$endgroup$











  • $begingroup$
    As I understand correctly, you are missing the signal $fracddtLane_angle$. Why don't you do a differentiation on the $Lane_angle$ signal?
    $endgroup$
    – Martin Rosenau
    Mar 18 at 12:17










  • $begingroup$
    Hello Martin, thank you for your answer. I can differentiate the angle signal, however, I couldn't figure out exactly how it fits in the control system. Assuming I supple this angle information as a feedback, the structure lacks a reference signal to compare. Or doesn't it?
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 12:53










  • $begingroup$
    Edit : @MartinRosenau I forgot to mention you.
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 15:12










  • $begingroup$
    Shouldn't you just use 0 as the reference signal for $d_t textLane_textangle$? If there's no change in the rate at which a turn is occurring, shouldn't the speed stay constant in regards to rate of turn?
    $endgroup$
    – Michael Sparapany
    Mar 18 at 17:33










  • $begingroup$
    Hi @MichaelSparapany it is a rather interesting idea, I also tought giving a zero ref, but how about the controlled variable. I do not have a control over the lane angle. Do you suggest a block diagram similar to what I posted below? Thank you anyway!
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 19:36














0












0








0





$begingroup$


I have been trying to control lateral and longitudinal movement of a robot for an autonomous lane keeper project. I have no problem with the lateral movement, however I couldn2t figure out exactly how to control the longitudinal,
What I have in my mind is to lower the base speed of the vehicle as the lane angle increases (sharp turns), which can be expressed as



$$ Base_Speed=Max_Speed-K_1*Lane_angle $$



where $K_1$ is a constant that determines how much the vehicle should beslow down.



My question is how can I proceed with this longtidual speed control considering this expression seemed very basic . As of now I have no real speed information coming from sensors (encoders), but you may assume I have.



Thank you!










share|cite|improve this question









$endgroup$




I have been trying to control lateral and longitudinal movement of a robot for an autonomous lane keeper project. I have no problem with the lateral movement, however I couldn2t figure out exactly how to control the longitudinal,
What I have in my mind is to lower the base speed of the vehicle as the lane angle increases (sharp turns), which can be expressed as



$$ Base_Speed=Max_Speed-K_1*Lane_angle $$



where $K_1$ is a constant that determines how much the vehicle should beslow down.



My question is how can I proceed with this longtidual speed control considering this expression seemed very basic . As of now I have no real speed information coming from sensors (encoders), but you may assume I have.



Thank you!







optimization control-theory optimal-control linear-control pi-controller






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 18 at 12:04









Halil TemurtaşHalil Temurtaş

1




1











  • $begingroup$
    As I understand correctly, you are missing the signal $fracddtLane_angle$. Why don't you do a differentiation on the $Lane_angle$ signal?
    $endgroup$
    – Martin Rosenau
    Mar 18 at 12:17










  • $begingroup$
    Hello Martin, thank you for your answer. I can differentiate the angle signal, however, I couldn't figure out exactly how it fits in the control system. Assuming I supple this angle information as a feedback, the structure lacks a reference signal to compare. Or doesn't it?
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 12:53










  • $begingroup$
    Edit : @MartinRosenau I forgot to mention you.
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 15:12










  • $begingroup$
    Shouldn't you just use 0 as the reference signal for $d_t textLane_textangle$? If there's no change in the rate at which a turn is occurring, shouldn't the speed stay constant in regards to rate of turn?
    $endgroup$
    – Michael Sparapany
    Mar 18 at 17:33










  • $begingroup$
    Hi @MichaelSparapany it is a rather interesting idea, I also tought giving a zero ref, but how about the controlled variable. I do not have a control over the lane angle. Do you suggest a block diagram similar to what I posted below? Thank you anyway!
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 19:36

















  • $begingroup$
    As I understand correctly, you are missing the signal $fracddtLane_angle$. Why don't you do a differentiation on the $Lane_angle$ signal?
    $endgroup$
    – Martin Rosenau
    Mar 18 at 12:17










  • $begingroup$
    Hello Martin, thank you for your answer. I can differentiate the angle signal, however, I couldn't figure out exactly how it fits in the control system. Assuming I supple this angle information as a feedback, the structure lacks a reference signal to compare. Or doesn't it?
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 12:53










  • $begingroup$
    Edit : @MartinRosenau I forgot to mention you.
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 15:12










  • $begingroup$
    Shouldn't you just use 0 as the reference signal for $d_t textLane_textangle$? If there's no change in the rate at which a turn is occurring, shouldn't the speed stay constant in regards to rate of turn?
    $endgroup$
    – Michael Sparapany
    Mar 18 at 17:33










  • $begingroup$
    Hi @MichaelSparapany it is a rather interesting idea, I also tought giving a zero ref, but how about the controlled variable. I do not have a control over the lane angle. Do you suggest a block diagram similar to what I posted below? Thank you anyway!
    $endgroup$
    – Halil Temurtaş
    Mar 18 at 19:36
















$begingroup$
As I understand correctly, you are missing the signal $fracddtLane_angle$. Why don't you do a differentiation on the $Lane_angle$ signal?
$endgroup$
– Martin Rosenau
Mar 18 at 12:17




$begingroup$
As I understand correctly, you are missing the signal $fracddtLane_angle$. Why don't you do a differentiation on the $Lane_angle$ signal?
$endgroup$
– Martin Rosenau
Mar 18 at 12:17












$begingroup$
Hello Martin, thank you for your answer. I can differentiate the angle signal, however, I couldn't figure out exactly how it fits in the control system. Assuming I supple this angle information as a feedback, the structure lacks a reference signal to compare. Or doesn't it?
$endgroup$
– Halil Temurtaş
Mar 18 at 12:53




$begingroup$
Hello Martin, thank you for your answer. I can differentiate the angle signal, however, I couldn't figure out exactly how it fits in the control system. Assuming I supple this angle information as a feedback, the structure lacks a reference signal to compare. Or doesn't it?
$endgroup$
– Halil Temurtaş
Mar 18 at 12:53












$begingroup$
Edit : @MartinRosenau I forgot to mention you.
$endgroup$
– Halil Temurtaş
Mar 18 at 15:12




$begingroup$
Edit : @MartinRosenau I forgot to mention you.
$endgroup$
– Halil Temurtaş
Mar 18 at 15:12












$begingroup$
Shouldn't you just use 0 as the reference signal for $d_t textLane_textangle$? If there's no change in the rate at which a turn is occurring, shouldn't the speed stay constant in regards to rate of turn?
$endgroup$
– Michael Sparapany
Mar 18 at 17:33




$begingroup$
Shouldn't you just use 0 as the reference signal for $d_t textLane_textangle$? If there's no change in the rate at which a turn is occurring, shouldn't the speed stay constant in regards to rate of turn?
$endgroup$
– Michael Sparapany
Mar 18 at 17:33












$begingroup$
Hi @MichaelSparapany it is a rather interesting idea, I also tought giving a zero ref, but how about the controlled variable. I do not have a control over the lane angle. Do you suggest a block diagram similar to what I posted below? Thank you anyway!
$endgroup$
– Halil Temurtaş
Mar 18 at 19:36





$begingroup$
Hi @MichaelSparapany it is a rather interesting idea, I also tought giving a zero ref, but how about the controlled variable. I do not have a control over the lane angle. Do you suggest a block diagram similar to what I posted below? Thank you anyway!
$endgroup$
– Halil Temurtaş
Mar 18 at 19:36











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