Command Filter Based Adaptive Fuzzy Finite-Time Control for a Class of Uncertain Nonlinear Systems With Hysteresis

Zhang, Huaguang; Liu, Yang; Dai, Jing; Wang, Yingchun

doi:10.1109/tfuzz.2020.3003499

Cited by 109 publications

(42 citation statements)

References 49 publications

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“…Accordingly, multi-agent systems (MASs) have received considerable attention due to their characteristics of autonomy [1], [2], distribution [3], [4] and coordination [5], [6]. Control problems of MASs have been extensively studied such as adaptive control [7], [8] and event-triggered control [9]- [11], and many results have been obtained for communication delay [12], [13]. Moreover, the fault-tolerant control problems for MASs has been recently studied by many researchers [14]- [16] because MASs are vulnerable to faults due to their structural complexity.…”

Section: Introductionmentioning

confidence: 99%

Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information

Zou

Wang

2021

IEEE Access

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This paper investigates the distributed fault detection problem for linear discrete time-varying heterogeneous multi-agent systems under relative output information. Due to the lack of absolute outputs, an augmented model is built by stacking all local relative output information. Then, the fault detection problem consisting of residual-generation and residual-evaluation is handled using the H ∞ filtering framework. The residual-generation problem is actually a minimization problem of an indefinite quadratic form, and the Krein space-Kalman filtering theory is applied, which results in a low computational burden despite the time-varying characteristic. Using the Krein space theory, a necessary and sufficient condition for the minimum is derived, and a residual-generation algorithm is developed. Further, a residual-evaluation mechanism is designed by constructing an evaluation function and detecting faults by comparing it with a threshold. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed fault detection approach.

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Section: Introductionmentioning

confidence: 99%

Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information

Zou

Wang

2021

IEEE Access

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“…(4) This paper is based on the fuzzy approximation method. [33][34][35][36][37][38][39][40] In using the backstepping method, the items with the partial derivative of the virtual controller in the previous step are combined together, and then the fuzzy logic systems are used to approximate these combined items, so that the designed virtual controllers does not have the partial derivative of the previous virtual controllers. Therefore, the "explosion of terms" problem of the backstepping method is avoided, [41][42][43][44] and reduces the calculation burden.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy control for nonlinear uncertain pure‐feedback systems with full‐state and input constraints

Jia

2021

Intl J Robust & Nonlinear

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This paper studies the full-state and input constraints of uncertain nonlinear pure-feedback systems. The radical constraint functions are proposed, which avoids the drawbacks of the barrier Lyapunov functions and the logarithmic constraint functions. At the same time, a control algorithm based on fuzzy control is proposed to avoid the "explosion of terms" problem of the backstepping method. In addition, this paper avoids an Assumption of nonaffine function, which reduces the conservatism and increases the applicability of the algorithm. This control algorithm is proposed so that all signals of the closed-loop system are the semi-globally uniformly ultimately bounded, and the tracking error converge to a small neighborhood of the origin, and all states and input of nonlinear pure-feedback systems can be constrained. Finally, simulation results are provided to verify the effectiveness of the proposed approach.

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“…On the other hand, pursuing finite-time convergence has become an active research area in recent years because the finite-time stable system owns the nice properties of not only faster response but also better robustness and disturbance rejection. Since the breakthrough work that the Lyapunov finite-time stability theorem of nonlinear systems was established in [15], fruitful achievements have been achieved [16][17][18][19][20][21][22][23][24][25][26][27][28], just mention a few. Of particular note is that the settling time functions acquired in the aforementioned results rely on initial system conditions.…”

Section: Introductionmentioning

confidence: 99%

Global Prescribed-Time Controller Design for p-Normal Switched Nonlinear Systems With Dead-Zone Inputs

Hou

Gao

2021

IEEE Access

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The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in p-normal form. Notably, the study possess two significant features: the system under investigation is subject to the dead-zone inputs, and the system states are expected to be driven to zero in prescribed finite time. To do this, a novel time-varying scaling transformation (TVST), which can be used to change the original prescribed-time stabilization into the asymptotic stabilization of transformed one, is first recommended. Then, with the aid of the common Lyapunov function (CLF) technique, the state feedback stabilization within prescribed-time of SNSs is established by using the recursive idea. Finally, the effectiveness of given control method is confirmed by simulation results of a liquid-level system. INDEX TERMS Switched nonlinear systems; p-normal form; dead-zone inputs; time-varying scaling transformation; prescribed-time stabilization.

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Command Filter Based Adaptive Fuzzy Finite-Time Control for a Class of Uncertain Nonlinear Systems With Hysteresis

Cited by 109 publications

References 49 publications

Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information

Distributed Fault Detection for Linear Time-Varying Multi-Agent Systems With Relative Output Information

Adaptive fuzzy control for nonlinear uncertain pure‐feedback systems with full‐state and input constraints

Global Prescribed-Time Controller Design for p-Normal Switched Nonlinear Systems With Dead-Zone Inputs

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