Prescribed performance fuzzy adaptive fault‐tolerant control of non‐linear systems with actuator faults

Abstract

This study investigates the adaptive fuzzy fault-tolerant control (FTC) problem for a class of uncertain non-linear strict-feedback systems with unmeasured states. The considered non-linear systems contain unknown continuous functions and do not satisfy the matching condition. The actuator failures under study are types of both abrupt faults and lock-in-place and loss of effectiveness. The fuzzy logic systems are employed to approximate the unknown continuous functions, and a fuzzy state observer is developed and the unmeasured states are obtained. Under the framework of the backstepping design technique and incorporated by the dynamic surface control approach and predefined performance bounds, an adaptive fuzzy FTC method has been presented. From the Lyapunov stability analysis, it is shown that all the signals of the resulting closed-loop system are bounded and the tracking error surfaces remain within the prescribed performance bounds in the presence of unknown non-linear actuator faults. The simulation results and comparisons with the previous methods indicate the effectiveness of the proposed adaptive fuzzy FTC.

Cooperative adaptive neural partial tracking errors constrained control for nonlinear multi‐agent systems

“…Compared with the traditional tracking error surface introduced for individual systems related to the prescribed performance control [21][22][23][24][25][26][27][28][29], in this paper, the cooperative tracking error surface is associated with the communication graph N G.´j ;1 includes the information of the j -th follower and its neighbors. In this sense, the error surface´j ;1 is cooperative.…”

“…Consider the closed-loop network system defined by the follower agents (1) and one dynamic leader, the intermediate control functions (26), (37) and (48) the actual control law (59), the adaptive laws (27), (38), (49) and (60) under Assumptions 1-3 and undirected connected graph with switching topologies. Then, for any bounded initial conditions, there exist appropriate design parameters such that all signals in the closed-loop network are cooperative semi-globally uniformly ultimately bounded, and partial tracking errors remain in the neighborhood of the origin within prescribed bounds.…”

“…Nevertheless, these control approaches cannot achieve satisfactory prescribed control performance, and they are only valuable for individual systems. In [21][22][23][24][25][26][27][28][29], adaptive control schemes were investigated for a class of strict-feedback systems with prescribed control performance. However, these control approaches cannot be applied for multi-agent systems.…”

“…Also, they are free of external disturbances. Thus, the proposed approaches in [15][16][17][18][19] and [21][22][23][24][25][26][27][28][29][30][31][32] cannot be applied to high-order nonlinear multi-agent (1).…”

Quantized Feedback Adaptive Reliable $$H_{\infty }$$ H ∞ Control for Linear Time-Varying Delayed Systems

“…Adaptive FTC can rely on the potential of parameters adjustment to assure the reliability of the closedloop system. Adaptive FTC has been widely studied in [16,[19][20][21][22][23]. In [24], the reliable adaptive H ∞ controller was designed by memory state feedback for the linear system with constant time delay.…”