Title
Optimal control of switched systems and its parallel optimization algorithm.
Abstract
In this paper, a class of optimal switching control problems is considered in which the mode sequence of active subsystems and the number of mode switchings are not pre-specified, and both the switching sequence and the control inputs are to be chosen such that the cost functional is minimized. For solving this problem, we discuss the necessary conditions for optimality and the construction method for suboptimal solutions, and develop a few sufficient conditions of judgment on the optimal or suboptimal solutions of the switched system. According to the sufficient conditions, a parallel computational algorithm is constructed to find optimal or suboptimal solutions. For illustration, two examples are solved using the proposed algorithm.
Year
DOI
Venue
2014
10.1016/j.cam.2013.11.011
J. Computational Applied Mathematics
Keywords
Field
DocType
suboptimal solution,mode switchings,optimal control,parallel computational algorithm,construction method,active subsystems,sufficient condition,control problem,parallel optimization algorithm,proposed algorithm,mode sequence,control input,parallel algorithm
Mathematical optimization,Optimal control,Parallel optimization,Control theory,Parallel algorithm,Mode (statistics),Algorithm,Construction method,Mathematics
Journal
Volume
ISSN
Citations 
261
0377-0427
1
PageRank 
References 
Authors
0.35
16
5
Name
Order
Citations
PageRank
Jingang Zhai162.12
Bangyu Shen210.69
Jinggui Gao322.39
Enmin Feng411124.41
Hongchao Yin5224.55