Configuration Space
We call orb m m σ m the configuration space of the manifold m and denote by b m m.
Configuration space. A robot that translates but does not rotate in the plane. The configuration space or c space of a robot is the space of possible positions the robot may attain. The x axis in this view is the orientation of the first link.
Configuration space physics configuration space mathematics the space of arrangements of points on a topological space. Pci configuration space the underlying way that the conventional pci pci x and pci express perform auto configuration of the cards inserted into their bus. Design of configuration space is critical to the efficiency of the sa based solution algorithm and the quality of final solutions.
The y axis is the orientation of the second link. For example if the system consists of an air molecule moving around in a room then configuration space can consist of all the points in the room. A complete specification of the position of every point in the system a simple example.
This manifold is called the configuration manifold of the system. Analogously we call the group p m m σ m the pure braid group on m strings of the manifold m and denote it by p m m. The configuration space for this robot is a vector that comprises q1 and q2 the two joint angles.
In classical mechanics the parameters that define the configuration of a system are called generalized coordinates and the vector space defined by these coordinates is called the configuration space of the physical system. Configuration space is a handy mathematical and conceptual tool which was developed to help us think about these kinds of problems in a unified framework. Configuration space may refer to.
B the perturbation mechanism is a set of feasible moves by which variables are to be solved. A configuration space of a physical system gives you all the possible states it can be in. That s all the positions the particle could be at and it s a portion of ordinary 3d space as we know it.