Abstract
This study investigates the finite-time cooperative-tracking problem for a class of networked Euler-Lagrange systems with a leader-follower structure, where the leader has an active dynamics and only a subset of the followers have access to the leader system. A novel framework for the design of finite-time cooperative-tracking controller is proposed by using sliding-mode control theory and graph theory. First, a finite-time sliding-mode tracking protocol is proposed for the networked Lagrange systems in the presence of bounded model uncertainties and external disturbances. Under the condition that the bounds of the model uncertainties and external disturbances are unknown, adaptive finite-time cooperative-tracking protocol is then presented. The finite convergence time is also estimated. Finally, we analyse the tracking performance of the networked uncertain Lagrange systems under the action of a continuous control protocol, which guarantees that the tracking errors converge to an arbitrarily small bound around zero in finite time. Simulation examples are presented to show the effectiveness of the obtained theoretical results. © The Institution of Engineering and Technology 2013.
| Original language | English |
|---|---|
| Pages (from-to) | 1487-1497 |
| Number of pages | 11 |
| Journal | IET Control Theory and Applications |
| Volume | 7 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Jul 2013 |
| Externally published | Yes |
Funding
We thank anonymous referees for helpful suggestions and comments. Project supported by the National Natural Science Foundation of China (grant numbers 61273108 and 61134001), Natural Science Foundation Project of CQ CSTC (grant no. 2011BB2056), the Major State Basic Research Development Programme 973 (grant no. 2012CB215202) and the Fundamental Research Funds for the Central Universities (106112013CDJZR175501).
Keywords
- adaptive control
- control system synthesis
- convergence
- decentralised control
- graph theory
- uncertain systems
- variable structure systems
- networked control systems
- tracking error
- continuous control protocol
- tracking performance
- finite convergence time
- external disturbances
- bounded model uncertainties
- finite-time sliding mode tracking protocol
- sliding mode control theory
- active dynamics
- leader-follower structure
- networked uncertain Euler-Lagrange systems
- finite-time cooperative-tracking control design