H∞ output containment control of heterogeneous multi-agent systems via distributed dynamic output feedback

Output containment control for heterogeneous discrete-time linear descriptor multi-agent systems by a feedforward output regulation approach

“…To date, there have been many results of the cooperative control for MASs under the distributed output regulation framework, such as leaderless output synchronization based on internal model principle in Wieland et al (2011), output consensus of MASs with structural uncertainties in Li et al (2015), event-triggered cooperative robust practical output regulation in Liu and Huang (2017), and adaptive cooperative output regulation in Liu and Huang (2018). In recent years, output regulation-based containment control has also become an important issue in MASs (relevant work can be found in Chu et al, 2015;Haghshenas et al, 2015b;Li et al, 2019;Liang et al, 2017;Yuan et al, 2018;Zou and Xiang, 2017;Zuo et al, 2017aZuo et al, , 2017b. In Haghshenas et al (2015b), the containment control problem for heterogeneous linear MASs was studied by resorting to the containment error presented in Haghshenas et al (2015a).…”

“…Very recently, the output containment control problem and optimal robust output containment problem were investigated for heterogeneous linear MASs in Zuo et al (2017a, 2017b) using internal model principle, respectively, where the agents may have different dynamics and state dimensions, and the small gain theorem was applied to ensure the global asymptotic stability. In addition, the containment control problem was formulated as several independent H ∞ stabilization sub-problems in Yuan et al (2018), and the distributed controller synthesis conditions were eventually obtained by convex optimization. For containment control of discrete-time MASs, Liang et al (2017) presented a dynamic output feedback containment controller based on a distributed discrete-time compensator and a distributed internal model compensator.…”

Robust containment control of heterogeneous multi‐agent systems with structured uncertainty and external disturbances

“…For such cases, some research works have been carried out on the containment problem by employing robust and adaptive control approach. [18][19][20][21] For instance, Yang et al 18,19 presented model-free solutions to the optimal H ∞ containment control of MASs using off-policy reinforcement learning in the presence of external disturbance, state, and input constraints. The containment control problem has been studied recently in References 20 and 21 for a group of nonidentical agents, where the dynamics of agents are supposed to unknown external disturbances.…”

“…All leaders and followers are subjected to simultaneous external disturbances and norm-bounded unstructured uncertainties in their system matrices. So our control scheme solves a robust performance problem while References 22-24 consider only the model uncertainty leading to a robust stability problem and References [18][19][20][21] study only external disturbances leading to a nominal performance problem. 3.…”

Distributed cooperative adaptive state estimation and system identification for multi‐agent systems

“…With the rapid development of computer, network, and communication technologies, the past two decades have witnessed a surge of research activities for multi‐agent systems (MASs) in the controls community, due to its profound impacts on not only the traditional control theories but also various emerging engineering applications, such as data fusion in multi‐sensor network [1], multiple aircrafts coordinated formation flight [2], autonomous vehicles platooning [3] etc. Earlier studies were mainly focused on distributed control and coordination of MASs, leading to several important theoretic frameworks including consensus control [4, 5], containment control [6–8], bipartite synchronisation [9] etc. Recent research efforts have been shifting to another important problem in the field, i.e.…”