Abstract
This paper considers the problem of consensus control for a class of nonlinear multiagent systems with incremental quadratic constraints and time delays. Each agent exchanges state information through a strongly connected communication topology. Based on the information obtained from neighboring agents, a distributed consensus protocol is designed. A delay-independent consensus condition is formed for the protocol to solve the consensus problem by employing Lyapunov–Krasovskii functional method. In order to deal with the nonlinear terms in matrix inequalities, an iterative algorithm is proposed by using the Schur complement lemma and the cone complementary linearization method. The nonlinearities under consideration are more general than many other nonlinearities considered in related literature studies since the incremental quadratic constraints include many other known nonlinearities as some special cases. Finally, we give a numerical example to illustrate the effectiveness of the proposed consensus control protocol.
Highlights
Time delays often appear in systems control and may bring instability to systems. erefore, it is essential to Mathematical Problems in Engineering consider time delays in system control
Time delays appear in communication between agents and pose a grave threat on consensus control, so many authors considered the consensus problem with communication delay
We aim to focus on investigating the consensus problem for nonlinear MAS whose nonlinearities satisfy δQC with time delays
Summary
Time delays often appear in systems control and may bring instability to systems. erefore, it is essential to Mathematical Problems in Engineering consider time delays in system control. E nonlinear vector-valued functions φ in (1) satisfies δQC as defined in Definition 1 with a known incremental multiplier matrix M ∈ M. 3. Main Results e consensus problem under Assumptions 1 and 2 for the nonlinear MAS (1) with a constant time delay is investigated .
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