Intermittent Sampled Data Control for Time‐Varying Formation‐Containment of the Multiagent System with/without Time Delay

Abstract

Time-varying formation-containment problems for a second-order multiagent system (SOMAS) are studied via pulse-modulated intermittent control (PMIC) in this paper. A distributed control framework utilizing the neighbors’ positions and velocities is designed so that leaders in the multiagent system form a formation, and followers move to the convex hull formed by each leader. Different from the traditional formation-containment problems, this paper applies the PMIC framework, which is more common and more in line with the actual control scenarios. Based on the knowledge of matrix theory, algebraic graph theory, and stability theory, some sufficient conditions are given for the time-varying formation-containment problem of the second-order multiagent system. Some numerical simulations are proposed to verify the effectiveness of the results presented in this paper.

Consensus of nonlinear multi‐agent systems via distributed hybrid controls

“…(32) with j = 2 is obtained by pre-and post-multiplying diag{I m ⊗  z2 , I mn , I mn } to (37) and using the Schur complement. Furthermore, pre-and post-multiply diag{I m ⊗  z,1 , I mn }, z = 0, 1, 2, … , M k − 1, and diag{I m ⊗  M k ,1 , I mn } to (38) and ( 39) respectively, we have (33) and (34). Hence, all the conditions of Theorem 3 are satisfied and the MAS (1) achieves the average consensus via the IICer (28).…”

“…Liu et al 34 proposed a novel intermittent impulsive control (IIC) strategy for the first time to solve the problem, and then some research results of IIC emerged. [35][36][37][38][39] Different from general intermittent control, impulsive controls instead of continuous controls are used in the work windows of IIC, which reduce the information redundancy and increase the security. Through introduction of the rest windows, IIC is more convenient for equipment maintenance than aperiodic impulsive control and more flexible than periodic impulsive control.…”

“…However, in the work windows intermittent control usually adopts continuous state feedback control that still occupies a lot of communication resources. Liu et al 34 proposed a novel intermittent impulsive control (IIC) strategy for the first time to solve the problem, and then some research results of IIC emerged 35‐39 . Different from general intermittent control, impulsive controls instead of continuous controls are used in the work windows of IIC, which reduce the information redundancy and increase the security.…”

“…The stochastic synchronization problem of MASs with time delays by using IIC was discussed 37 . Chi et al 38 investigated time‐varying formation‐containment problems for a second‐order MAS based on pulse‐modulated intermittent control. However, there are almost no IIC results on consensus of nonlinear MASs except the work of Yang et al 39 It should be noticed that each agent system is a Hopfield‐type neural network and the conditions that the system matrix is diagonal and the first diagonal element is negative need to be satisfied in the work of Yang et al Obviously, the results of Yang et al are not suitable for general nonlinear MASs.…”

Security-Based Asynchronous Control for Discrete-Time Markov Switching Power Systems ⋆

“…On the other hand, many valuable results have been reported on the networked power systems subjected to many network-induced factors, such as communication delays, packet losses, quantization e ects, and event-triggered protocols [24][25][26]. By comparison, potential cyber-attacks may destroy the stability of power systems via a shared communication network.…”