Title :
On the construction of an optimal feedback control law for time-optimal control problem for a two-input three-dimensional nilpotent system
Author :
Tang, Guoqing ; Sherrill, David F.
Author_Institution :
Dept. of Math., North Carolina A&T State Univ., Greensboro, NC, USA
Abstract :
We derive a set of twenty-four basic formulas for computing feedback control steering any given initial state to the origin and use them to construct an optimal feedback control law for the time-optimal control problem for a two-input three-dimensional nilpotent system. The construction of such an optimal feedback control law is carried out without prior knowledge of the partition of the state space into regions of origination for twenty-four different trajectory types specified in a sufficient family for optimality
Keywords :
control system synthesis; feedback; multidimensional systems; time optimal control; optimal feedback control law construction; origination regions; state space partition; time-optimal control problem; two-input 3D nilpotent system; Control system analysis; Control system synthesis; Control systems; Controllability; Cost function; Feedback control; Mathematics; Motion control; Optimal control; State-space methods;
Conference_Titel :
System Theory, 2001. Proceedings of the 33rd Southeastern Symposium on
Conference_Location :
Athens, OH
Print_ISBN :
0-7803-6661-1
DOI :
10.1109/SSST.2001.918525
