Can You Change the Damping Ratio of a Second Order Linear System Easily?

AI Thread Summary
Changing the damping ratio of a second-order linear system, such as a robotic arm, typically involves adjusting system variables, including natural frequency. Directly altering the damping ratio alone is challenging, as it often requires simultaneous changes to other parameters. The system equations indicate that modifications to one variable can affect both damping and natural frequency. Achieving a precise adjustment with a single control parameter is not straightforward. Overall, careful consideration of multiple variables is essential for effective tuning of the system's dynamics.
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How to change the damping ratio of dynamical system if it is say for example robotic arm? Can it be changed directly or one need to change natural freqvancy? by which it will automatically change.
 
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assuming a second order linear system, the system equations make it pretty clear.

https://en.wikipedia.org/wiki/Damping

You can change any system variable, or multiple variables to get different damping and natural frequencies.

If you want one knob to just change only the damping ratio, that is difficult for a 2nd order linear system.
 
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