Singularity-Free Fixed-Time Fuzzy Control for Robotic Systems With User-Defined Performance

Pan, Yingnan; Du, Peihao; Xue, Hong; Lam, Hak‐Keung

doi:10.1109/tfuzz.2020.2999746

Cited by 238 publications

(98 citation statements)

References 45 publications

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“…Hence, the system (25) satisfies the H ∞ fault performance. Moreover, when f (k) = 0, it can be derived that ∆V(k) < 0.…”

Section: Definementioning

confidence: 95%

“…Therefore, condition r(k) 2 < γ 2 f (k) 2 is guaranteed for the system (25). Case 2 : e T (k)Pe(k) >σ(k) In this case, the Lyapunov function becomes the following form:…”

Section: It2 T-s Fuzzy Model In This Subsection the It2 T-s Fuzzy Mmentioning

confidence: 99%

“…Introduction. Due to the evolution of industrial engineering, many systems become the nonlinear versions, and the existing linear control approaches cannot directly cope with the nonlinear systems [13,14,25,32,37,39,45]. Takagi-Sugeno (T-S) fuzzy model [15,22], which can approximate the nonlinear systems by means of its precise approximation ability, has been widely applied in many significant results [5,31].…”

mentioning

confidence: 99%

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Event-based fault detection for interval type-2 fuzzy systems with measurement outliers

Li¹,

Han²,

Lu³

2021

Discrete &Amp; Continuous Dynamical Systems - S

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This paper investigates the event-based fault detection (FD) problem for a category of discrete-time interval type-2 fuzzy systems with measurement outliers. For the sake of decreasing the utilization of limited communication bandwidth, an event-based mechanism is introduced. Based on the saturation function technique, a novel event-based FD observer is first designed to reduce the influence of outliers in the dynamic systems. Then, on the basis of Lyapunov stability theory, sufficient conditions are provided to ensure that the error system satisfies the H∞ performance and the H∞ fault performance in different cases, respectively. In contrast to the existing event-based FD results, the false alarm, which is induced by measurement outliers, can be effectively avoided by the designed FD observer with saturation function. Lastly, some simulation results are given to verify the effectiveness of the method presented in this paper.

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“…Hence, the system (25) satisfies the H ∞ fault performance. Moreover, when f (k) = 0, it can be derived that ∆V(k) < 0.…”

Section: Definementioning

confidence: 95%

“…Therefore, condition r(k) 2 < γ 2 f (k) 2 is guaranteed for the system (25). Case 2 : e T (k)Pe(k) >σ(k) In this case, the Lyapunov function becomes the following form:…”

Section: It2 T-s Fuzzy Model In This Subsection the It2 T-s Fuzzy Mmentioning

confidence: 99%

mentioning

confidence: 99%

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Event-based fault detection for interval type-2 fuzzy systems with measurement outliers

Li¹,

Han²,

Lu³

2021

Discrete &Amp; Continuous Dynamical Systems - S

Self Cite

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show abstract

“…Over the past decades, control problem has attracted respectable attention 1‐16 . The effect of the constraints exists in many practical control systems, such as physical stoppages and chemical reactor temperature.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy finite‐time fault‐tolerant control of nonlinear systems with state constraints and input quantization

Pan

Yang

et al. 2020

Adaptive Control & Signal

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Summary This article concentrates on an adaptive finite‐time fault‐tolerant fuzzy tracking control problem for nonstrict feedback nonlinear systems with input quantization and full‐state constraints. By utilizing the fuzzy logic systems and less adjustable parameters method, the unknown nonlinear functions are addressed in each step process. In addition, a dynamic surface control technique combined with fuzzy control is introduced to tackle the variable separation problem. The problem for the effect of quantization and unlimited number of actuator faults is tackled by a damping term with smooth function in the intermediate control law. Finite‐time stability is achieved by combining barrier Lyapunov functions and backstepping method. The finite‐time controller is designed such that all the responses of the systems are semiglobal practical finite‐time stable and ensured to remain in the predefined compact sets while tracking error converges to a small neighborhood of the origin in finite time. Finally, simulation examples are utilized to testify the validity of the investigated strategy.

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“…Liu et al [39] investigated the existing transformation technique between fuzzy set and soft set. Pan et al [40] presented a novel singularity-free fixed-time fuzzy control technique for ambiguous constrained n-link robotic system. Liang et al [41] studied the stability analysis, controller design and design of the distributed reduced-order dynamic gain observer.…”

Section: Introductionmentioning

confidence: 99%

A Certain Class of t-Intuitionistic Fuzzy Subgroups

et al. 2020

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In this study, the t-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The t-intuitionistic fuzzy centralizer is normal subgroup of t-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of t-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every t-intuitionistic fuzzy subgroup of Abelian (cyclic) group is t-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and preimage of t-intuitionistic fuzzy Abelian (cyclic) subgroup are t-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism. INDEX TERMS t-intuitionistic fuzzy set, t-intuitionistic fuzzy subgroup, t-intuitionistic fuzzy Abelian subgroup, t-intuitionistic fuzzy cyclic subgroup AMS(MOS) Subject Classifications: 03F55, 08A72, 20N25

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Singularity-Free Fixed-Time Fuzzy Control for Robotic Systems With User-Defined Performance

Cited by 238 publications

References 45 publications

Event-based fault detection for interval type-2 fuzzy systems with measurement outliers

Event-based fault detection for interval type-2 fuzzy systems with measurement outliers

Adaptive fuzzy finite‐time fault‐tolerant control of nonlinear systems with state constraints and input quantization

A Certain Class of t-Intuitionistic Fuzzy Subgroups

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