The Bridge - Issue 2, 2018 - 25

Distributed Stochastic Optimal Flocking Control for Uncertain Networked Multi-Agent Systems

REFERENCES
[1] C. W. Reynolds, "Flocks, herds, and schools: a distributed behavioral
model," Comput. Graph., 21 (1), pp. 25-34, 1986.
[2] R. O. Saber, "Flocking for multi-agent dynamic systems: algorithms and
theory," IEEE Trans. Automatic Contr., 51 (1), pp. 401-420, 2006.
[3] R. O . Saber and R. M. Murray, "Flocking with obstacle avoidance:
copperation with limited communication in mobile networks," in Proc.
42nd IEEE Conf. Decision and Contr., pp. 2022-2028, 2003.
[4] O. Saif, I. Fantoni, A. Zavala-Rio, "Flocking of multiple unmanned aerial
vehicles by LQR control," in Proc. 2014 Intern. Conf. Unmanned Aircraft
Syst., pp. 222-228, 2014.
[5] P. Yu, L. Ding, Z. W. Liu, Z. H Guan, and M. X. Hu, "Flocking with a virtual
leader based on distributed event-triggered hybrid control," in Proc.
32nd Chinese Contr. Conf., pp. 6947-6952, 2013.
[6] J. Wang and M. Xin, "Multi-agent consensus algorithm with obstacle
avoidance via optimal control approach," in Proc. Amer. Contr. Conf.,
pp. 2783-2788, 2011.
[7] J. Wang and M. Xin, "Integrated optimal formation control of multiple
unmanned aerial vehicles," IEEE Trans. Contr. Syst. Tech., 21 (1), pp.
1731-1744, 2013.
[8] F. L. Lewis, D. Vrabie and V. L. Syrmos, Optimal control, 3rd ed., Wiley,
2012.
[9] D. P. Bertsekas and J. Tsitsiklis, Neuro-dynamic programming, Athena
Scientific, 1996.
[10] M. Abu-Khalaf, and F. L. Lewis, "Nearly optimal control laws for
nonlinear systems with saturating actuators using a neural network
HJB approach," Automatica, 41 (3), pp. 779-797, 2005.
[11] H. Zhang, Y. Luo, and D. Liu, "Neural network based near optimal
control for a class of discrete-time affine nonlinear systems with
control constraints," IEEE Trans. Neur. Net., 20 (3), pp. 1490-1503,
2009.
[12] F. Y. Wang, N. Jin, D. Liu, and Q. L. Wei, "Adaptive dynamic
programming for finite horizon optimal control of discrete-time
nonlinear system with ε-error bound," IEEE Trans. Neur. Net., 22 (3),
pp. 24-36, 2011.
[13] Q. Wei, and D. Liu, "Adaptive dynamic programming algorithm
for optimal tracking control of unknown nonlinear systems with
application to coal gasification," IEEE Trans. Automation Sci. and Eng.,
vol. 11, pp. 264-277, 2014.
[14] D. Wang, D. Liu, Q. Wei, D. Zhao, and N. Jin, "Optimal control of
unknown nonaffine nonlinear discrete-time systems based on
adaptive dynamic programming," Automatica, 48 (3), pp. 18251832, 2012.
[15] D. Wang, D. Liu, and Q. Wei, "Finite horizon neuro optimal tracking
control for a class of discrete-time nonlinear systems using adaptive
dynamic programming approach," Neurocomputing, 78 (3), pp.1422, 2012.

[18] T. Dierks and S. Jagannathan, "Optimal control of affine nonlinear
continuous-time systems," in Proc. 2010 Amer. Contr. Conf., pp.
1568-1573. 2010.
[19] T. Dierks and S. Jagannathan, "Online optimal control of affine
nonlinear discrete-time systems with unknown internal dynamics by
using time-based policy update," IEEE Trans. Neur. Net. and Learn.
Syst., 23 (2), pp. 1118-1129, 2012.
[20] H. Xu, and S. Jagannathan, "Stochastic optimal controller design for
uncertain nonlinear networked control system via neuro dynamics
programming," IEEE Trans. Neur. Net. And Learn. Syst., 24 (2), pp.
471-484, 2013.

Hao Xu (M'12) was born in Nanjing,
China. He received the master's degree
in electrical engineering from Southeast
University, Nanjing, in 2009, and
the Ph.D. degree from the Missouri
University of Science and Technology,
Rolla, MO, USA, in 2012. He is currently
with University of Nevada, Reno, where
he is an Assistant Professor with the Department of
Electrical & Biomedical Engineering. His current research
interests include intelligent control design for advanced
power systems, smart grid, autonomous unmanned
aircraft systems, and wireless passive sensor network.
Wenxin Liu (S'01-M'05-SM'14)
received the B.S. degree in industrial
automation, and the M.S. degree in
control theory and applications from
Northeastern University, Shenyang,
China, in 1996 and 2000, respectively,
and the Ph.D. degree in electrical
engineering from the Missouri University of Science
and Technology (formerly University of Missouri-Rolla),
Rolla, MO, USA, in 2005. Currently, he is an Assistant
Professor with the Department of Electrical and Computer
Engineering, Lehigh University, Bethlehem, PA, USA.
His research interests include power systems, power
electronics, and controls.

[16] Q. Wei, and D. Liu, "An iterative ε-optimal control scheme for a class
of discrete-time nonlinear systems with unfixed initial state," Neur.
Net., 32 (4), pp. 236-244, 2012.
[17] Q. Wei, D. Wang, and D. Zhang, "Dual iterative adaptive dynamic
programming for a class of discrete-time nonlinear systems with timedelays," Neur. Computing and Appl., 23 (1), pp. 1851-1863, 2013.

HKN.ORG

25
http://www.HKN.ORG
Table of Contents for the Digital Edition of The Bridge - Issue 2, 2018
