Abstract
This paper investigates the consensus tracking problem for second-order multi-agent systems without/with input delays. Randomized quantization scheme is considered in the communication channels, and impulsive consensus tracking algorithms using position-only information are proposed for the consensus tracking of multi-agent systems. Based on the algebraic graph theory and stability theory of impulsive systems, sufficient and necessary conditions for consensus tracking are studied. It is found that consensus tracking for second-order multi-agent systems without/with input delays can be achieved by appropriately choosing the sampling period and control gains which are determined by second/third degree polynomials. Simulations are performed to validate the theoretical results.
Highlights
During the last two decades, the consensus problem in multiagent systems has attracted considerable attention due to its broad applications including synchronization [1], formation control [2], flocking [3], and sensor networks [4]
This paper investigates the consensus tracking problem for second-order multi-agent systems without/with input delays
The main objective of consensus problem in multiagent systems is to design distributed control that enables all agents in a network to reach an agreement with a certain characteristic
Summary
During the last two decades, the consensus problem in multiagent systems has attracted considerable attention due to its broad applications including synchronization [1], formation control [2], flocking [3], and sensor networks [4]. In all of the aforementioned works, one major shortcoming of the proposed algorithms for the consensus tracking of multiagent systems is the reliance on the exchange of analog data It demands quite a broad bandwidth and enough communication power in the information interaction. The main contribution of this paper includes the following two aspects: (1) the design of impulsive consensus tracking algorithms using the position-only information for the multiagent systems without/with input delays; (2) the introduction of randomized quantization scheme which is applied to the quantization of agents’ information before communication, which is different from our previous works on impulsive algorithms [22, 24, 26].
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