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The finite‐time robust fault‐tolerant control problem is addressed for a class of perturbed linear systems with actuator faults and input amplitude saturations. A compensation control strategy is proposed to eliminate the effects of actuator faults and non‐linear disturbance‐like inputs within a finite‐time, as well as to ensure the control inputs be limited within a desired constraint. Based on Lyapunov stability theory, it is shown that system states can converge to a small region in the cases of actuator faults and saturations by choosing suitable control parameters. Some relationships among convergence bounds, actuator faults and amplitude limits, as well as the control parameters are studied deeply and illustrated explicitly with formulas. Simulations of a linearised F‐18 longitudinal dynamical control model are given to verify the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

This paper is concerned with the leader-following consensus control problem for a class of multi-agent systems against actuator faults and some perturbed factors as state-dependent uncertainties and multiplicative controller coefficient variations. The follower agents are supported to be connected by a multi-layer network structure, which can be described by a directed graph among different layers and an undirected graph in the same layer. Without requirement of knowledge of eventual faulty factors of actuators and perturbed factors of agents, a class of distributed controllers is constructed to ensure that follower agents can track the leader agent based on adaptive updates. Lyapunov functions are addressed to prove that asymptotic consensus of multi-agent systems can be achieved in the presence of partial loss of effectiveness on bias-actuators and uncertainties in agents and controllers. Finally, multiple coupled aircrafts are used to verify the efficiency of the proposed method. [ABSTRACT FROM AUTHOR]