Reduced‐order robust nonlinear sliding mode fault‐tolerant control for linear systems with disturbances: A prescribed practical sliding surface approach

Abstract

This article studies the fault‐tolerant control for linear systems with disturbances through sliding mode scheme. Compared with the existing results, by means of a nonlinear sliding function with an exponential term, a reduced‐order sliding motion can be obtained while the reaching phase of conventional sliding mode control is eliminated. On the other side, with the help of an exponentially decaying barrier Lyapunov functions, a continuous sliding mode algorithm is established. Within the proposed framework, the trajectories of closed‐loop systems can be forced to a prescribed practical sliding surface, and then, both the transient as well as steady‐state performances are guaranteed despite the occurrence of abrupt actuator faults. Under the Lyapunov direct method, a sufficient condition is derived such that the sliding motion is uniformly bounded with time‐varying performance constraints. Finally, an electric amplidyne system is considered to demonstrate the theoretical results.

Observer‐based adaptive neural fault‐tolerant control for nonlinear systems with prescribed performance and input dead‐zone

“…Theorem 1. For system (1) with DZN, sensor and actuator faults under Assumptions 1 and 2, by introducing adaptive laws (21), (35), (36), ( 44), ( 49), (58), virtual control laws (34), ( 43), ( 48), (59) and actual control input (57), the designed controller can achieve the objectives in problem statement.…”

“…In the past decades, fault‐tolerant control (FTC) has received a considerable attention for its practicability and reliability 1‐3 . Normally, system faults arise from aging equipment, physical damage and electrical interference 4‐6 .…”

“…In the past decades, fault-tolerant control (FTC) has received a considerable attention for its practicability and reliability. [1][2][3] Normally, system faults arise from aging equipment, physical damage and electrical interference. [4][5][6] Since the occurrence time and magnitude of the faults cannot be predicted accurately, it may generate actuator faults and sensor faults.…”

Extended Discrete-Time Quasi-Sliding Mode Control for VTOL UAV in the Presence of Uncertain Disturbances

“…However, this approach increases the sliding surface error and degrades the response systems. Another approach was developed in [33] for linear systems by proposing the aid of an exponentially decaying barrier Lyapunov function. More interesting results were investigated in [10] and [11] by approximating the value of the signum function to attenuate chattering.…”

Editorial: Sliding‐mode algorithms for state estimation and fault diagnosis

“…Tu and Dong 20 study fault–tolerant control for perturbed linear systems through the sliding mode scheme. A reduced‐order sliding motion is obtained using a non‐linear sliding function with an exponential term while eliminating the reaching phase of conventional sliding mode controllers.…”