Distributed robust H_∞ composite-rotating consensus of second-order multi-agent systems

Abstract

In this article, the distributed H' composite-rotating consensus problem is concerned for a class of second-order multiagent systems. First, based on local state feedback and communication feedback, a distributed control algorithm is proposed. Then, sufficient conditions are derived in order to make all agents reach a composite-rotating consensus with the desired H' performance. Finally, the simulations are given to show the effectiveness of the theoretical results.

Robust H∞ Consensus Control for Linear Discrete-Time Swarm Systems with Parameter Uncertainties and Time-Varying Delays

“…The parameter uncertainties ΔA and ΔB are considered permissible when equations 3and 4 [33,40], which satisfies ∑ n k=1 ω i,j k 2 <∞ i = 1, ⋯, N, j = 1, ⋯, m 2 , that is, the energy of the external disturbance in system (2) is bounded on any finite interval. In this case, the robust H ∞ control problem can be analysed in an appropriate and meaningful way.…”

“…As the industrial technology continues to develop, the research on the control theory becomes more mature. Due to operating state changes, external disturbances and model errors of swarm systems in the real world, robust H ∞ consensus control problems of swarm systems were wildly explored by researchers, as shown in [32][33][34]. Robust H ∞ consensus control problems of first-order swarm systems with external disturbances and model uncertainties were presented in [32].…”

“…Robust H ∞ consensus control problems of first-order swarm systems with external disturbances and model uncertainties were presented in [32]. The second-order robust H ∞ consensus control problem of swarm systems with measurement noises and asymmetric delays was studied in [33]. Distributed H 2 and H ∞ consensus control problems of high-order linear swarm systems with x, y, z -dependent noise were investigated in [34].…”

Synchronization of directed complex networks with uncertainty and time-delay

“…presented a uniform complex network model and investigated its synchronization in small-world and scale-free networks. [5][6][7] In practical applications, some information in a complex network may not be able to be transmitted completely precisely due to the existence of various disturbances, such as uncertainty, time-delay, and the variation of the network topology, [14][15][16][17][18][19] which might lead to divergence or oscillation of the complex networks. However, few works have been conducted to consider the parameter uncertainties and time-delay simultaneously for general complex networks.…”

“…Synchronization of complex dynamical networks have attracted considerable attention from so many fields such as biology, physics, robotics, and control engineering. 1–22 This is partly due to recent technological advances in communication and computation, and important practical applications, ranging from the Internet, automated highway systems, low-orbit satellites, coordinated navigation, multi-sensor of earthquake monitoring network,and so on. 23–26 A complex network consists of a large number of interconnected nodes, in which each node is a fundamental unit with specific purpose, especially when the earthquake monitor network covers types of observation instruments.…”