Finite-time consensus of second-order nonlinear multi-agent systems with impulsive effects

2020 ◽  
Vol 34 (35) ◽  
pp. 2050406
Author(s):  
Yuan Tian ◽  
Chuandong Li
Keyword(s):  
Finite Time ◽  
Lyapunov Stability Theory ◽  
Second Order ◽  
Impulsive Effects ◽  
Multi Agent Systems ◽  
Sign Function ◽  
Agent Systems ◽  
Multi Agent ◽  
Conservative Estimation ◽  
Theoretical Results

This paper addresses finite-time consensus of second-order nonlinear multi-agent systems with impulsive effects. A control protocol contains neighborhood and self state feedback without sign function is proposed for finite-time consensus. By employing Lyapunov stability theory, a new less conservative estimation of energy function is obtained, by solving which, it gets both finite-time consensus and exponential consensus criteria with or without impulsive effects. Moreover, three impulsive types: stability, divergence and no effects, are divided based on strengths of impulse and controller. Examples are provided to demonstrate the correctness of theoretical results and the effectiveness of the finite-time protocol.

Formation-containment control of sampled-data second-order multi-agent systems with sampling delay

2018 ◽  
Vol 40 (16) ◽  
pp. 4369-4381 ◽  
Author(s):  
Baojie Zheng ◽  
Xiaowu Mu
Keyword(s):  
Matrix Theory ◽  
Sufficient Conditions ◽  
Second Order ◽  
Control Problems ◽  
Sampled Data ◽  
Multi Agent Systems ◽  
Containment Control ◽  
Agent Systems ◽  
Multi Agent ◽  
Theoretical Results

The formation-containment control problems of sampled-data second-order multi-agent systems with sampling delay are studied. In this paper, we assume that there exist interactions among leaders and that the leader’s neighbours are only leaders. Firstly, two different control protocols with sampling delay are presented for followers and leaders, respectively. Then, by utilizing the algebraic graph theory and matrix theory, several sufficient conditions are obtained to ensure that the leaders achieve a desired formation and that the states of the followers converge to the convex hull formed by the states of the leaders, i.e. the multi-agent systems achieve formation containment. Furthermore, an explicit expression of the formation position function is derived for each leader. An algorithm is provided to design the gain parameters in the protocols. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.

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