%0 Journal Article
%T Finite-Time Distributed Energy-to-Peak Control for Uncertain Multiagent Systems
%A Qu Chenggang
%A Cao Xibin
%A Hamid Reza Karimi
%A Zhang Zhuo
%A Zhang Zexu
%J Abstract and Applied Analysis
%D 2014
%I Hindawi Publishing Corporation
%R 10.1155/2014/260201
%X This paper investigates the finite-time distributed consensus control problem of multiagent systems with parameter uncertainties. The relative states of neighboring agents are used to construct the control law and some agents know their own states. By substituting the control input into multiagent systems, an augmented closed-loop system is obtained. Then, we analyze its finite-time boundedness (FTB) and finite-time performance. A sufficient condition for the existence of the designed controller is given with the form of linear matrix inequalities (LMIs). Finally, simulation results are described. 1. Introduction The coordination control problems of multiagent systems have attracted increasing attentions from various fields, such as formation flights [1, 2], multiple robots formation control [3, 4], air traffic control [5], and multivehicle systems cooperative control [6, 7]. For the reason that centralized control is too expensive or even infeasible to accomplish, the distributed control protocol has been studied extensively in recent years. The consensus problem for multiagent systems with switching communication topologies is studied in [8, 9], heterogeneous multiple agents are researched in [10], the distributed control problem for high-order multiagent systems is investigated in [11], the nonlinear uncertain multiagent systems are studied in [12], networked control problem for multiple agents with a leader is described in [13], multiagent systems with input time delays are investigated in [14], and, for the case that state information cannot be measured, a distributed output-feedback control for multiagent systems with Markov jumping is studied in [15]. However, to the best knowledge of the authors, there is no article investigating the finite-time energy-to-peak consensus problem for multiagent systems with parameter uncertainties. For the reason that the forms of external disturbances are not exactly known and the existence of parameter uncertainties in systems, the robust control method is proposed. There are mainly three robust control theories. The first one is energy-to-energy control, which is the well-known control [16¨C19], where the external disturbance can be any form but energy bounded. The second theory is peak-to-peak control, in which worse cases of performance variables are required to be minimized under the peak bounded external disturbances; it can be seen that the conservatism of peak-to-peak control is much less than the control. The last method is the energy-to-peak one, which is also called in discrete-time and in
%U http://www.hindawi.com/journals/aaa/2014/260201/