Abstract
In this paper, the intermittent containment control problem of second-order multi-agent systems with sampled position data is investigated. Under the case that the velocity measurements are inaccurate or unavailable, a novel intermittent containment control protocol is designed based on both the current and delayed sampled position datum. A necessary and sufficient condition depending upon the coupling strengths, the spectrum of the Laplacian matrix, the communication width, the sampling period and the time delay, is derived for achieving second-order intermittent containment control. Finally, numerical simulations are presented to demonstrate the efficiency of theoretical results.
Highlights
Over the past decade, the consensus control problems of multi-agent systems have attracted considerable attention from different scientific fields, such as control theory, systems engineering, applied mathematics, and computer science
The contributions and novelties of this work can be highlighted as follows: 1) compared with most of current works on containment control, the secondorder intermittent containment control problem with sampled position data is considered for the first time, to the best of our knowledge; 2) to overcome the communication limitations, a novel delay-induced-based intermittent containment control protocol is designed using both the current and delayed sampled position information of dynamical agents; and 3) a necessary and sufficient condition depending upon the coupling strengths, the spectrum of the Laplacian matrix, the communication width, the sampling period, and the time delay, is derived for achieving second-order intermittent containment control
Definition 3: The intermittent containment control problem of multi-agent systems is said to be solved, if for any initial states, there exists a certain control input under intermittent communication such that the states of followers asymptotically converge to the convex hull formed by those of leaders
Summary
The consensus control problems of multi-agent systems have attracted considerable attention from different scientific fields, such as control theory, systems engineering, applied mathematics, and computer science. Inspired by the above discussions, in this work, under the case that the velocity measurements are inaccurate or unavailable, the delay-induced-based containment control problem of second-order multi-agent systems with intermittent sampled position data is solved. The contributions and novelties of this work can be highlighted as follows: 1) compared with most of current works on containment control, the secondorder intermittent containment control problem with sampled position data is considered for the first time, to the best of our knowledge; 2) to overcome the communication limitations (intermittent communications and inaccurate velocity measurements), a novel delay-induced-based intermittent containment control protocol is designed using both the current and delayed sampled position information of dynamical agents; and 3) a necessary and sufficient condition depending upon the coupling strengths, the spectrum of the Laplacian matrix, the communication width, the sampling period, and the time delay, is derived for achieving second-order intermittent containment control. For a given vector or matrix A, AT denotes its transpose, and λ(A) denotes the eigenvalue of A
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