TY - JOUR
T1 - Digital Implementation of Derivative-Dependent Control by Using Delays for Stochastic Multiagents
AU - Zhang, Jin
AU - Fridman, Emilia
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2022/1/1
Y1 - 2022/1/1
N2 - In this article, we study the digital implementation of derivative-dependent control for consensus of stochastic multiagent systems. The consensus controllers that depend on the output and its derivatives are approximated as delayed sampled-data controllers. First, we consider the nth-order stochastic multiagent systems. Second, we consider PID control of the second-order stochastic multiagent systems. For the consensus analysis, we propose novel Lyapunov functionals to derive linear matrix inequalities that allow us to find an admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.
AB - In this article, we study the digital implementation of derivative-dependent control for consensus of stochastic multiagent systems. The consensus controllers that depend on the output and its derivatives are approximated as delayed sampled-data controllers. First, we consider the nth-order stochastic multiagent systems. Second, we consider PID control of the second-order stochastic multiagent systems. For the consensus analysis, we propose novel Lyapunov functionals to derive linear matrix inequalities that allow us to find an admissible sampling period. The efficiency of the presented approach is illustrated by numerical examples.
KW - Consensus
KW - linear matrix inequalities (LMIs)
KW - sampled-data control
KW - stochastic multiagent systems
UR - http://www.scopus.com/inward/record.url?scp=85100738239&partnerID=8YFLogxK
U2 - 10.1109/TAC.2021.3056364
DO - 10.1109/TAC.2021.3056364
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85100738239
SN - 0018-9286
VL - 67
SP - 351
EP - 358
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 1
ER -