Neural Networks-Based Adaptive Finite-Time Fault-Tolerant Control for a Class of Strict-Feedback Switched Nonlinear Systems

Abstract

This paper concentrates upon the problem of finite-time fault-tolerant control for a class of switched nonlinear systems in lower-triangular form under arbitrary switching signals. Both loss of effectiveness and bias fault in actuator are taken into account. The method developed extends the traditional finite-time convergence from nonswitched lower-triangular nonlinear systems to switched version by designing appropriate controller and adaptive laws. In contrast to the previous results, it is the first time to handle the fault tolerant problem for switched system while the finite-time stability is also necessary. Meanwhile, there exist unknown internal dynamics in the switched system, which are identified by the radial basis function neural networks. It is proved that under the presented control strategy, the system output tracks the reference signal in the sense of finite-time stability. Finally, an illustrative simulation on a resistor-capacitor-inductor circuit is proposed to further demonstrate the effectiveness of the theoretical result.

Fuzzy adaptive two‐bits‐triggered control for nonlinear uncertain system with input saturation and output constraint

“…Input saturation and output constraint often occur in practical engineering, which severely restrict system performance and even lead system instability. For the input saturation phenomenon, traditional method usually adopts the switch function to deal with it, see References . However, it will inevitably cause the control input to be nonsmooth and bring inconvenience to subsequent control designs.…”

Adaptive finite‐time tracking control for output‐constrained nonlinear systems with non‐strict‐feedback structure

“…On the base of the Lyapunov stability theory in References and , the finite‐time stability issues of nonlinear systems were discussed by many authors . Among them Lv et al and Liu et al designed the control programs for a class of nonlinear systems with hysteretic characteristics Wang et al, Chen et al and Yang et al discussed the finite‐time stability of time‐varying delay systems by adopting more appropriate Lyapunov‐Krasovskii functional Wang et al and Liu et al proposed the finite‐time control schemes for the nonlinear system with actuator failures Liu et al, Gao et al and Li et al investigated several finite‐time tracking control schemes for a class of nonlinear systems with dead‐zone, Wang et al and Zhang et al proposed the adaptive finite‐time control design schemes for a kind of nonlinear quantized systems. It should be noted that the above work does not consider the case where the system output is constrained.…”

“…In addition, in comparison with the current literatures on constrained systems, a series of finite‐time control schemes were constructed in References . The control strategies in References cannot ensure that the tracking error always stays in the prescribed proper range. To prevent the violation of output constraints, BLF is used in this article to ensure that the system output is constrained within a specified area and the tracking error remains in a prescribed appropriate bound.…”

Leader‐following consensus of fractional‐order multi‐agent systems via adaptive control

“…In the past decades, as a main research direction of MASs, consensus problem has attracted wide attention due to its application in many fields at home and abroad, such as formation stabilization, sensor networks, unmanned vehicles formations, and so on. These control strategies mainly including the adaptive control, adaptive neural network, controller‐observer scheme, and so on.…”