Abstract
In this paper, we first consider the containment control problem of singular heterogeneous multi-agent systems, where all the followers converge to the convex hull spanned by the leaders. To solve this problem, we propose two distributed control laws: one is based on the state feedback control framework, which is suitable for the case that the full state information of each follower is accessible; and the other is based on the output regulation framework, where each follower only can access to its output. Furthermore, the distributed observers are designed for every follower to estimate the convex combination of the leader states which is determined by the communication graph. It should be noted that our results can also regard the non-singular multi-agent systems’ containment control problem as a special case. Finally, simulation results corroborate the effectiveness of our analytical results.
| Original language | English |
|---|---|
| Pages (from-to) | 4629-4643 |
| Number of pages | 15 |
| Journal | Journal of the Franklin Institute |
| Volume | 355 |
| Issue number | 11 |
| Early online date | 20 Apr 2018 |
| DOIs | |
| Publication status | Published - Jul 2018 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018 The Franklin Institute
Funding
This work was supported by the Fundamental Research Funds for the Central Funds for the Central University (HEUCFJ170401), by the Natural Science Foundation of China under Grant (61741305), and by the China Postdoctoral Science Foundation (2018M630341).