On the construction of an optimal feedback control law for time-optimal control problem for a two-in put three-dimensional nilpotent system

被引:0
作者
Tang, G [1 ]
Sherrill, DF [1 ]
机构
[1] N Carolina Agr & Tech State Univ, Dept Math, Greensboro, NC 27411 USA
来源
PROCEEDINGS OF THE 33RD SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY | 2001年
关键词
D O I
10.1109/SSST.2001.918525
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
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页码:245 / 249
页数:5
相关论文
共 6 条
[1]  
SHERRILL DF, 1999, THESIS N CAROLINA A
[2]  
SUSSMANN HJ, 1990, PURE A MATH, V133, P1
[4]   BANG-BANG THEOREM WITH BOUNDS ON THE NUMBER OF SWITCHINGS [J].
SUSSMANN, HJ .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1979, 17 (05) :629-651
[5]  
SUSSMANN HJ, 1992, P NONL CONTR SYST DE
[6]   Existence of an optimal feedback control law for time-optimal control of two-input analytic nilpotent systems in dimension three [J].
Tang, GQ .
THIRTIETH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY (SSST), 1998, :275-279