Title :
On the construction of an optimal feedback control law for the shortest path problem for the Dubins car-like robot
Author :
Tang, Guoqing ; Wang, Zidong ; Williams, Andre L.
Author_Institution :
Dept. of Math., North Carolina A&T State Univ., Greensboro, NC, USA
Abstract :
We derive a set of six basic formulas for computing feedback control steering the origin to any given terminal state and use them to construct an optimal feedback control law for the shortest path problem for the Dubins car-like robot. The construction of such an optimal feedback control law can be carried out without prior knowledge of the partition of the state space, while knowing the partition helps to simplify the process of constructing an optimal feedback controller
Keywords :
automobiles; control system synthesis; feedback; mobile robots; optimal control; path planning; Dubins car-like robot; optimal feedback control law; shortest path problem; state space partition; steering; Adaptive control; Controllability; Feedback control; Mathematics; Mobile robots; Orbital robotics; Robot kinematics; Shortest path problem; State-space methods; Whales;
Conference_Titel :
System Theory, 1998. Proceedings of the Thirtieth Southeastern Symposium on
Conference_Location :
Morgantown, WV
Print_ISBN :
0-7803-4547-9
DOI :
10.1109/SSST.1998.660075
