# control

1. ### Geometric control theory

What actually the difference between classical control theory and geometric control theory? Are there any problems which cannot be solved by classical theory? Thank you!

10. ### Omitted variable vs control variable

Hello guys! I am somewhat confused by an explanation in my textbook about the relation between omitted variables and control variables. If I understand it correctly, then the relation is this: If we want to know the effect of X on Y, and there is also an effect of Z on Y and a correlation...
11. ### Treatment and control groups

Does splitting a classroom down the middle into two mutually exclusive and exhaustive groups with police tape constitute a valid method for randomly assigning students to a treatment or control groups? I think it is because in this experiment, study units have the same chance of being...
12. ### Need help with simple Optimal Control Problem

Hi all, With some unscertainty wether this is the right forum to post this is in I have a question regarding a, what I assume, simple optimal control problem. What I want to do is to find the optimal control of the double integrator with boundary conditions the two integrated states and...
13. ### slip control algorithm

Hi, I'm working on a traction control for my motorcycle. I need to choose an algorithm to control the slip of the rear wheel. I have the following data available: - percetnage of slip of the rear wheel (as proportion of speed of the rear and front wheels) - speed - rpm - lean angle - some...
14. ### optimal control ODE existance problem

I'm doing some researches in optimal control problems and stuck with ODE existence problem. Optimal control problem is to minimise the cost of control represented by functional J(u) = \int_0^Tf^0(x(t),u(t),t)dt \to \min subject to \dot x = f(x,u,t) x(0) = x_0 In ordinary cases unique solution...
15. ### Mathematical relationship to control camera heading

Hi everyone, I want to find a mathematical relationship between my head direction and the direction of a camera placed at a distance. The objective is to make the camera heading to same point where my head is looking at. Both my head and the camera are in the horizontal plane and the motion...