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This paper addresses the event-triggered global consensus issue of discrete-time double-integrator multi-agent systems (MASs) with asymmetric input saturation, where the saturation bound could be zero. First, for the leaderless scenario, we develop an event-triggered scheme and present the necessary and sufficient criterion for global consensus. Second, the above result is extended to the leader-following scenario, and global consensus is still ensured. It is worth emphasizing that a basic idea of the proposed event-triggered scheme is to preset a minimum triggering interval, so that the triggering function is inactive within this interval after the last triggering time. Such a treatment can ensure that the minimum time between two update instances can be strictly greater than one. Finally, several simulations are given to illustrate the effectiveness of suggested theoretical findings.

Time-delay is an unavoidable factor in analyzing and designing any networked system since in most scenarios, it decreases the performance or even destabilizes the system. In this paper, we study the newly proposed matrix-scaled consensus (MSC) algorithms under the presence of communication time delays. Both networks of single- and double-integrator agents are considered, and for each scenario, a corresponding delay margin will be given. The analysis hinges on the Nyquist stability criteria and the algebraic solution of quasi-polynomials associated with the MSC models. Numerical examples are provided to demonstrate the correctness of theoretical results.

In this paper, the bipartite consensus problem is addressed for a class of double-integrator multi-agent systems with antagonistic interactions. The cases with and without communication time delays are considered. In particular, if the communication time delays are not taken into account, the bipartite consensus of the studied multi-agent systems with directed signed graph can be achieved by the proposed distributed controller. If the nonuniform communication time delays are considered, the bipartite consensus of the considered multi-agent systems with undirected signed graph can be achieved if the time delays are less than a derived upper bound. Moreover, we propose an algorithm to solve the so-called grouping problem. Finally, some numerical examples are provided to illustrate the correctness of the results.

In this paper, we study the prescribed-time stabilization (PTS) problem of a class of stable double integrals System. A scale-free design scheme of state feedback is proposed to ensure the time stability of the closed loop system by appropriately introducing a time-varying function into the virtual (real) controller. Finally, a wheeled mobile robot is taken as an example to verify the effectiveness of this method.

This paper solves the rotating consensus problem for a group of double-integrator agents with event-based communication only. We propose a distributed event-based rotating consensus protocol, which guarantees that a consensus regarding both position and velocity is achieved when all agents exhibit circular motion around the same center. It is observed that overall less communication is required as the communication between agents is only needed at event times. Moreover, with the proposed event-based protocol, it is proved that Zeno behavior can be strictly avoided for each agent. Numerical simulations show that this event-based control law can efficiently solve the rotating consensus problem.

Chemical processes use to be non-minimum phase systems. Thereby, they are a challenge for control applications. In this paper, fuzzy state feedback is applied in the Van de Vusse reaction that has an inverse response. The control design has an integrator to enhance the control performance by eliminating the steady-state error when a step reference is applied. An anti-windup action is used to reduce the undershoot in the system response. In practice, it is not possible to have always access to all the state variables. Thus, a fuzzy state observer is implemented via LMIs. Frequently, the papers that show similar applications present some comments about disturbance rejection. To eliminate the steady-state error when a ramp reference is used, in this work, a second integrator is aggregated. Now, the anti-windup also reduces the overshoot generated due to the usage of two integrators in the final application.

In this paper, we focus on designing a model reference adaptive control-based distributed control law to drive a set of agents with double-integrator dynamics in a leader–follower fashion in the presence of system anomalies such as agent-based uncertainties, unknown control effectiveness, and actuator dynamics. In particular, we introduce a novel hedging-based reference model with second-order dynamics to allow an adaptation in the presence of actuator dynamics. We show the stability of the overall closed-loop multi-agent system by utilizing the Lyapunov Stability Theory, where we analyze the stability condition by using the Linear Matrix Inequalities method to show the boundedness of the reference model and actuator states. Finally, we illustrate the efficacy of the proposed distributed adaptive controller on an undirected and connected line graph in five cases.

This paper provides a review of the consensus problem as one of the most challenging issues in the distributed control of the multi-agent systems (MASs). In this survey, firstly, the consensus algorithms for the agents with the single-integrator, double-integrator and high-order dynamic models were collected from various research works, and the convergence condition for each of these algorithms was explained. Secondly, all the consensus-related problems such as those in the sampled-data consensus, quantized consensus, random-network consensus, leader–follower consensus, finite-time consensus, bipartite consensus, group consensus/cluster consensus, and the scaled consensus were analyzed and compared with each other. Thirdly, we focused on the common control techniques used for the consensus problems in the presence of disturbance and divided all these control methods into two categories: robust control and adaptive control. Finally, we reviewed the most prevalent consensus applications in the MASs, including the subjects of rendezvous, formation control, axial alignment and the wireless sensor networks.

In this paper, the problem of leader-following consensus for a class of multi-agent systems with double integrator dynamics is investigated based on an iterative learning approach. Consensus errors of individual agents are considered as the anticipation in time, based on which a distributed iterative learning protocol is proposed for the undirected networks with fixed topology to make the followers track the leader in finite time. The dynamic of the leader is assumed to be time-varying and the state information is available to only a portion of the followers. The sufficient condition for solving the consensus problem of the multi-agent system is obtained. A simulation example is provided to demonstrate the effectiveness of the proposed method.

Accurate yaw angle information is essential for reliable aircraft ground maneuver, but inertial measurements obtained during taxiing are often corrupted by high-frequency noise. To improve signal quality, a double-integrator observer is designed to reconstruct the yaw rate dynamics and attenuate measurement noise. Building on the refined state estimates, a fast sliding-mode controller is developed to achieve rapid and robust tracking of the reference yaw angle in the presence of model uncertainties. The proposed approach is validated through a six-degree-of-freedom aircraft simulation model.