Necessary and sufficient conditions for containment control of heterogeneous linear multi‐agent systems with fixed time delay

Robust containment control of heterogeneous multi‐agent systems with structured uncertainty and external disturbances

“…Lemma 4. Consider the closed-loop system (16). The matrices F and K 1 can be selected so that the value of matrix A c in nominal condition with no uncertainty, that is,…”

Adaptive Fuzzy Cooperative Control for Nonlinear Multiagent Systems with Unknown Control Coefficient and Actuator Fault

“…Because of its wide applications, containment control is a fundamental and important research subject of MASs control, such as [11,12]. For containment control, its purpose is to design a controller so that all follower agents can converge to the convex hull built by the leaders [9][10][11][12][13][14][15][16][17][18]. For example, the path-guided containment maneuvering approach was proposed for networked two-wheeled mobile robots with multiple virtual leaders moving along multiple parameterized paths in [11].…”

“…In literature [13][14][15], all containment control methods were investigated for linear MASs. But, for the containment problem of nonlinear MASs, the control methods in [13][14][15] were not feasible.…”

“…In literature [13][14][15], all containment control methods were investigated for linear MASs. But, for the containment problem of nonlinear MASs, the control methods in [13][14][15] were not feasible. In fact, nonlinear systems can better describe a practical engineering problem than linear systems, such as manipulator systems [19], inverted pendulum systems [20], and rigid robotic systems [21].…”

Resilient distributed control of BESSs and voltage source converter‐based microgrids considering switching topologies and non‐uniform time‐varying delays

“…The secondary control level aims to restore the voltage/frequency fluctuations caused by the primary level. Multi‐agent system (MAS) has drawn abundant consideration from various backgrounds in control theory such as containment control for high‐order heterogeneous system [8], Lagrangian delayed system [9], and containment control for linear heterogeneous system with fixed delay [10]. Distributed control based on MAS has been extensively examined for the secondary layer of MGs, for example, robust extended state‐observable‐based control [11], robust disturbance resilient [12], fault‐tolerant control [13], cyber attacks [14], noise resiliency [15], model predictive control [16], and dynamic weights [17].…”