Adaptive fixed‐time fuzzy control for nonlinear systems with actuator faults

Summary This article is concerned with the issue of event‐triggered adaptive fixed‐time control with sensor and actuator faults for stochastic nontriangular structure nonlinear system (SNSNS). The main difficulty in this article is the design of a novel and stable controller for SNSNS to compensate for the effect of sensor and actuator faults with event‐triggered control (ETC) in a unified framework. The mean value theorem (MVT) and ETC method are introduced to solve the questions of nonaffine structure and communication burden. Meanwhile, with the aid of adaptive neural network and fixed‐time theory, a novel controller is proposed by backstepping technology, which can ensure all the closed‐loop signals are bounded in probability within a fixed time as well avoid Zeno behavior. At last, the simulation is carried out to demonstrate the effectiveness of the proposed scheme.

“…For the other case, we ignore it. It can be seen from References 23,33,52 that the difference between the two cases is just a small increase in the constant term.…”

Section: Controller Designmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Event‐triggered adaptive neural control for stochastic nontriangular structure nonlinear systems with multisensor and actuator failures: The practical fixed‐time stability

Ren

Liu

2022

“…In this regard, researchers have proposed a series of fault-tolerant control (FTC) methods. 26,[46][47][48][49][50][51] For example, the time-delay interconnection nonlinear system with dead zone input was studied 26 based on prescribed performance. The adaptive neural fault-tolerant decentralized control scheme was constructed by utilizing the backstepping decentralized control scheme.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, how to enhance the dynamic system's safety and reliability so that the system's stability cannot be affected by the fault is very important and has become an increasingly pressing issue. In this regard, researchers have proposed a series of fault‐tolerant control (FTC) methods 26,46‐51 . For example, the time‐delay interconnection nonlinear system with dead zone input was studied 26 based on prescribed performance.…”

Section: Introductionmentioning

confidence: 99%

“…First, establishing a CLF for all subsystems, the FTC strategy is extended to the switched stochastic time‐delay nonlinear systems for the first time. Obviously, the systems 45,47 are the specific cases of this system. Second, time‐varying bias faults and partial loss of effectiveness are considered, which differs from the actuator faults 19,47 .…”

Section: Introductionmentioning

confidence: 99%

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Adaptive fault‐tolerant decentralized tracking control of switched stochastic uncertain nonlinear systems with time‐varying delay

Cui

Zou

Guo

et al. 2022

In this article, an adaptive neural fault-tolerant decentralized tracking control problem is investigated for switched stochastic large-scale uncertain nonlinear systems, in which time-varying delay and unknown control coefficient are under consideration. By incorporating the quadratic Lyapunov function and Lyapunov Krasovskii function into the backstepping approach, an adaptive neural fault-tolerant decentralized control strategy is proposed, which ensures that signals in the closed-loop system are stable in probability and the tracking error converges to a small neighborhood of the origin under arbitrary switching. At last, to verify the presented strategy is feasible, a simulation example is given.

Fixed time formation control for heterogeneous multi‐agent systems with partial unknown control directions

Hou

Liu

Lan

et al. 2022

This article studies the fixed-time time-invariant formation control problem for a class of uncertain nonlinear heterogeneous multi-agent systems (HMASs) with actuator faults and partial unknown control directions. Throughout the formation process, the possibility of actuator faults in systems and unknown control directions between individual agents are taken into account. Lipschitz conditions are introduced to identify the continuous uncertain nonlinear functions. To estimate the agents' local immeasurable states in HMASs, a distributed fixed-time observer is proposed, which can ensure that the states of follower agents are observed in fixed time. In addition, a distributed formation fault-tolerant control scheme will handle actuator faults. By designing a Nussbaum function, the problem of partial unknown control directions for HMASs can be solved in fixed time. Based on the fixed time stability theory, it is proved that the closed-loop stability and the tracking performance can be guaranteed in fixed time, that is, the achieved time is independent of any initial states. In the end, a simulation example is given to testify the effectiveness of the proposed control method. K E Y W O R D Sfault-tolerant control, fixed time partial unknown control directions, heterogeneous multi-agent systems, time-invariant formation