Controlled Synchronization of Mechanical Systems

Author(s):  
Nikhil Chopra ◽  
YenChen Liu

In this paper we study the problem of synchronization and trajectory tracking in mechanical systems. Exploiting output synchronization results developed previously, a control algorithm is developed to guarantee output synchronization in addition to trajectory tracking in mechanical systems. The classical Slotine-Li adaptive trajectory tracking algorithm is modified to synchronize mechanical systems following a common trajectory. The robustness of the proposed scheme to time delays in communication is also discussed. A numerical example is presented to verify the efficacy of the proposed results.

Author(s):  
YenChen Liu ◽  
Nikhil Chopra

Due to its practical applicability, recently several algorithms for robot synchronization have been developed in the literature. However, the focus of these control schemes has primarily been on joint-space control and in the absence of communication unreliabilities between the agents. In this paper, we study the problem of task space synchronization and trajectory tracking for heterogeneous robots under dynamic uncertainties. Exploiting passivity based synchronization results developed previously, a new control algorithm is proposed to guarantee task space synchronization for a group of robotic manipulators. Both non-redundant and redundant robots are considered and the proposed scheme is validated by a numerical example.


Author(s):  
D. von Wissel ◽  
R. Nikoukhah ◽  
F. Delebecque ◽  
P.-A. Bliman ◽  
M. Soline

2020 ◽  
Vol 17 (3) ◽  
pp. 172988142091627
Author(s):  
Jiajia Zhou ◽  
Xinyi Zhao ◽  
Zhiguang Feng ◽  
Di Wu

Trajectory tracking control of autonomous underwater vehicles in three-dimension always suffers disturbances such as input time delays and model uncertainties. Regarding this problem, an integral time-delay sliding mode control law is proposed in this article with dividing the vehicle’s input time delays model into cascade system consisting of a kinematics subsystem and a dynamics subsystem. Based on the established pose error equation and velocity error equation, a suitable Lyapunov–Krasovskii functional is given to analyze and guarantee the global stability of the whole system under reasonable assumptions. At last, comparative simulations are presented to demonstrate the effectiveness of the proposed method.


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