Timeline for Can we apply LQR control in high dimension - like to a full robot?
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| Mar 17 at 7:08 | comment | added | krishnab | I mean even if I am doing Lyapunov control, I still need to find fixed points around which I can find a Lyapunov function. For small systems I can analytically solve for the fixed points, but how do I do that for a big system of ODEs. I could pepper the state space with random initializations and use Newton's method to try to find the zeros for each initialization. But if I tried that, I would run into curse of dimensionality issues because the space is so big. | |
| Mar 17 at 7:05 | comment | added | krishnab | thank for that. But I was wondering about finding the fixed points when I have a system that has a bit state space. So if I have like 10 actuators or 20 actuators, that means I have a pretty high dimensional state space. So to find the fixed points, I have to find the place where this large system is equal to the zero vector. I can't solve that analytically, so I would have to solve it numerically right. Do you know how I would find the fixed points of such a large system? | |
| Mar 17 at 6:21 | review | Low quality posts | |||
| Mar 17 at 6:31 | |||||
| Mar 17 at 6:05 | history | answered | FourierFlux | CC BY-SA 4.0 |