test(以下为旧站栏目)

Adaptive Tracking Control of Multi-Agent Systems

Ji-Feng Zhang

2013-12-29

ABSTRACT: 
    In this talk, distributed adaptive tracking-type game will be discussed for a class of coupled stochastic linear
multi-agent systems with uncertainties of unknown structure parameters, external stochastic disturbances, unmodeled dyna-
mics, and unknown agents’ interactions. The control goal is to make the states of all the agents converge to a desired
function of the population state average (PSA). Due to the fact that only local information is available for each agent,
the control is distributed. For the time-invariant parameter case, the extended least-squares algorithm, Nash certainty
equivalence (NCE) principle and certainty equivalence (CE) principle are used to estimate the unknown parameters and the
PSA term, and to design adaptive control, respectively. Under some mild conditions, it is shown that the closed-loop
system is almost surely uniformly stable with respect to the population number N; the estimate for the PSA term is strongly
consistent; the adaptive control is almost surely an asymptotic Nash equilibrium. When the dynamics of each agent contains
time-varying parameters and unmodeled dynamics, projected least mean square algorithm, NCE principle and CE principle are
adopted to estimate the unknown time-varying parameters, and the unknown PSA term, and to design robust adaptive control,
respectively. In addition to stability of the closed-loop system and consistency of the PSA estimate, the control law is
shown to be robust Nash equilibrium with respect to the unmodeled dynamics, the variation of the unknown parameters, and
the external disturbances.


About speaker:

Ji-Feng Zhang received the B.S. degree in mathematics from Shandong University in 1985 and the Ph.D. degree from the
Institute of Systems Science (ISS), Chinese Academy of Sciences (CAS) in 1991. Since 1985, he has been with the ISS, CAS,
where he is now the director of the ISS. His current research interests include system modeling and identification, adap-
tive control, stochastic systems, and multi-agent systems. He is an IEEE Fellow, and received the Second Prize of the
National Natural Science Award of China in 2010, the Distinguished Young Scholar Fund from National Natural Science Fou-
ndation of China in 1997, the First Prize of the Young Scientist Award of CAS in 1995, the Outstanding Advisor Award of
CAS in 2007, 2008 and 2009, respectively. He was a Deputy Editor-in-Chief of J. of Automation, and is a Managing Editor
of the J. of Systems Science and Complexity, Deputy Editor-in-Chief of Systems Engineering --- Theory & Practice, J. of
Systems Science and Mathematical Sciences, Control Theory & Applications, Associate Editor of several other journals
including IEEE Trans. on Automatic Control, SIAM J. on Control and Optimization etc.; Program Chair of the 2012 IEEE
Conference on Control Applications, the 10th WCICA, the 30th CCC; and the General Co-Chair of the 32nd CCC. He is a member
of the Board of Governors of the IEEE Control Systems Society, Vice President of the Systems Engineering Society of China,
and the director of the Technical Committee on Control Theory, Chinese Association of Automation.