TY - JOUR
T1 - Cooperative Output Regulation Quadratic Control for Discrete-Time Heterogeneous Multiagent Markov Jump Systems
AU - Dong, Shanling
AU - Liu, Lu
AU - Feng, Gang
AU - Liu, Meiqin
AU - Wu, Zheng-Guang
AU - Zheng, Ronghao
PY - 2022/9
Y1 - 2022/9
N2 - This article investigates the cooperative output regulation problem for discrete-time heterogeneous multiagent Markov jump systems. Two cases are studied: 1) output regulation quadratic control in the case where the exosystem is accessible to all agents and 2) cooperative output regulation quadratic control in the case where only a part of agents can directly communicate with the exosystem. The hidden Markov models are employed to describe the asynchronous modes of the agents and their corresponding controllers. Via the jumping regulator equation, asynchronous control laws are constructed and the algorithms to obtain control parameters are presented in terms of linear matrix inequalities. For the first case, the optimal synchronous/mode-dependent control law, which is a special case of the asynchronous control protocol, is also given via the stochastic dynamic programming approach. Finally, an example is given to illustrate the effectiveness of the proposed approaches.
AB - This article investigates the cooperative output regulation problem for discrete-time heterogeneous multiagent Markov jump systems. Two cases are studied: 1) output regulation quadratic control in the case where the exosystem is accessible to all agents and 2) cooperative output regulation quadratic control in the case where only a part of agents can directly communicate with the exosystem. The hidden Markov models are employed to describe the asynchronous modes of the agents and their corresponding controllers. Via the jumping regulator equation, asynchronous control laws are constructed and the algorithms to obtain control parameters are presented in terms of linear matrix inequalities. For the first case, the optimal synchronous/mode-dependent control law, which is a special case of the asynchronous control protocol, is also given via the stochastic dynamic programming approach. Finally, an example is given to illustrate the effectiveness of the proposed approaches.
KW - Cooperative output regulation
KW - Heterogeneous multiagent Markov jump systems (MJSs)
KW - Hidden Markov models (HMMs)
KW - Markov processes
KW - Quadratic control
KW - Multi-agent systems
KW - Regulation
KW - Synchronization
KW - Trajectory
UR - http://www.scopus.com/inward/record.url?scp=85115716470&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85115716470&origin=recordpage
U2 - 10.1109/TCYB.2021.3110792
DO - 10.1109/TCYB.2021.3110792
M3 - 21_Publication in refereed journal
VL - 52
SP - 9882
EP - 9892
JO - IEEE Transactions on Cybernetics
JF - IEEE Transactions on Cybernetics
SN - 2168-2267
IS - 9
ER -