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Journal of the Franklin institute
Franklin Institute of the State of Pennsylvania
Journal of the Franklin institute

Franklin Institute of the State of Pennsylvania

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0016-0032

Journal of the Franklin institute/Journal Journal of the Franklin instituteSCIEI
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    Adaptive event-triggered asynchronous control for T-S fuzzy systems with two-side looped-functional method

    Wu, XixiZhao, QibaoCheng, JunWang, Hailing...
    1.1-1.17页
    查看更多>>摘要:In this paper, we discuss the event-triggered H infinity control for T-S fuzzy systems with asynchronous premise variables, employing a two-side looped-functional method (TSLFM) to tackle this challenge. Firstly, we propose a fuzzy-dependent adaptive event-triggered mechanism (FDAETM) via aperiodic sampling, with the primary objective of minimizing the waste of communication resources. It is particularly noted that the FDAETM leads to asynchronous behavior between the premise variables of the fuzzy system and the controller. Secondly, to establish sufficient conditions for system stability, we introduce a TSLFM that incorporates sampling period information. Within the TSLFM framework, we make full use of the system state information from x(tc) to x(t) and from x(t) to x(tc+1), thereby deriving conditions that ensure the asymptotic stability of the system at the H infinity attenuation level. Compared to traditional Lyapunov functions, our proposed looped-functional method eliminates the need for positive definiteness and considers all information about the sampling interval, significantly reducing conservatism in the analysis. Finally, through two specific examples and comparative analysis, we demonstrate the effectiveness and advantages of the proposed method.

    Fault detection for hybrid-triggered networked systems subject to delay and deception attacks

    Dai, ShifangHai, LinLiu, JinliangTian, Engang...
    1.1-1.18页
    查看更多>>摘要:This article investigates the fault detection problem for hybrid-triggered networked systems subject to delay and deception attacks. A hybrid-triggered scheme is exploited to balance network bandwidth and system performance. Firstly, the fault detection framework is constructed and modeled in the hybrid-triggered networked system, in which a plant system with faults occurring randomly and a fault detection filter (FDF) system are formulated. Based on the framework, the sufficient conditions for our FDF system to achieve H infinity performance stability are proved by Lyapunov stability theory and described by several matrix inequalities. Meanwhile, the desired matrices of our FDF are also determined by solving a set of linear matrix inequalities (LMIs), which is the primary purpose of this work. In the end, the usefulness of our scheme is validated by simulations.

    Negative imaginary lemmas for improper descriptor systems

    Liu, XiaoluGao, MeiqiLiu, LiuGan, Naifeng...
    1.1-1.13页
    查看更多>>摘要:This paper studies the negative imaginary property for improper descriptor systems. Firstly, it is demonstrated that a descriptor system with a negative imaginary transfer function cannot be impulse-free, that is, the negative imaginary transfer function is improper. Then some necessary conditions and sufficient conditions are established to characterize the negative imaginary property of improper descriptor systems based on the quasi-Weierstrass form. Furthermore, the lossless negative imaginary property of improper descriptor systems is derived by the relationship between the lossless positive realness and the lossless negative imaginariness. Several examples are given to illustrate the obtained results. In addition, this paper presents a generalized Kalman-Yakubovich-Popov lemma for the negative imaginary property of descriptor systems, which is achieved independently of the relationship between positive realness and negative imaginariness.

    Self-supervised keypoint detection based on affine transformation

    Ying, NaZhang, XueweiHu, MiaoLin, Xinyu...
    1.1-1.10页
    查看更多>>摘要:Self-supervised learning has emerged as a powerful approach to reducing the cost associated with data labeling for network training. Nonetheless, a key challenge in self-supervised keypoint detection is ensuring that the detected keypoints carry human-interpretable semantic meaning. This paper addresses this challenge by introducing a novel self-supervised keypoint detection algorithm designed to generate semantically meaningful human keypoints while maintaining detection accuracy. The proposed approach reformulates human keypoint detection as a problem of affine transformation of predefined keypoint templates, distinguishing itself from existing self-supervised techniques. Specifically, a semantically annotated human keypoint template is predefined, and an affine transformation matrix is learned based on extracted human pose features. By applying this matrix to the template, the algorithm generates keypoints that are not only accurate but also semantically aligned with the corresponding human poses. Furthermore, a margin loss is introduced to stabilize the affine transformations across various image scales, ensuring robust performance. Experimental evaluations on the Human3.6M and Deepfashion datasets demonstrate that the algorithm achieves an average detection error of 2.78 on Human3.6M, only a marginal increase of 0.02 compared to the baseline method, Autolink. On the Deepfashion dataset, the algorithm achieves a keypoint detection accuracy of 65%, which is 1% below Autolink. Importantly, unlike other methods, the proposed algorithm guarantees that all generated keypoints are semantically interpretable, providing a significant advantage in human-centered applications.

    Fault detection for wastewater treatment bioprocesses based on ellipsoid bundles

    Zhou, MengWu, YanWang, JingRaissi, Tarek...
    1.1-1.16页
    查看更多>>摘要:This paper proposes a fault detection approach for the basic process of microbial growth in wastewater treatment, based on interval estimation technology. First, a nonlinear microbial growth model is converted into a Takagi-Sugeno (T-S) fuzzy system. Then, utilizing a T-S fuzzy structure, an observer is constructed based on an L infinity performance index. Furthermore, an ellipsoid bundle based set membership estimation algorithm is analyzed to synchronize interval estimation operations. In addition, interval residuals are computed from the generated interval state estimation and fault detection is performed for a wastewater treatment bioprocess with actuator faults or sensor faults. Finally, the feasibility of the proposed fault detection strategy for the wastewater treatment bioprocess is illustrated through numerical simulations.

    Robust command filter-based model predictive control for spacecraft rendezvous

    Li, YuanYang, XueboZheng, XiaolongChen, Zhongbo...
    1.1-1.18页
    查看更多>>摘要:The spacecraft rendezvous problem under external disturbances represents a significant and challenging research area. To enhance the accuracy of spacecraft rendezvous, this paper develops a model predictive control algorithm augmented by a function-adaptive law (FAL). The FAL is introduced to estimate and compensate for unknown disturbances in the aerospace environment effectively. A notable feature of this FAL is its integration with a robust command filtering (RCF) algorithm, which includes three key subtask modules: derivative excitation, noise suppression, and feedback correction. This meticulously designed structure enables the suppression of high-frequency components in the signal while accurately extracting its differential information. The paper provides a theoretical analysis of the recursive feasibility and stability of the designed model predictive controller and validates the controller's effectiveness through a series of simulation experiments.

    Distributed event-triggered fault estimation for Takagi-Sugeno multi-agent systems with unmeasurable decision variables

    Wang, ZeyuanChadli, Mohammed
    1.1-1.19页
    查看更多>>摘要:This paper proposes a novel distributed fault estimation framework for a class of nonlinear multi-agent systems (MASs), addressing time-varying multiplicative and additive faults in actuators and sensors. To address these challenges, the Takagi-Sugeno (T-S) system model employed, incorporating unmeasurable decision variables, which introduces more complexity compared to known decision variables. This study pioneers the one-sided Lipschitz approach this context, offering significant advancements over the traditional Lipschitz method. A two-step design process is presented to estimate system states, faults, and external disturbances through an lth-order proportional-integral observer and a constrained least squares estimator, which data-driven. Agents can update their observers by using relative residual outputs derived neighboring information, enhancing both fault and state estimation accuracy. Furthermore, dynamic event-triggered communication protocol enables efficient output sharing and reduces communication costs. The observer design conditions are formulated as an optimization problem constrained by linear matrix inequalities, ensuring robust H-infinity performance. Simulation results validate the effectiveness of the proposed method for robust fault estimation in nonlinear MASs.

    Consensus of wave PDE agents under switching graphs

    Chen, YiningWang, GuotingGuo, YongleXiang, Linying...
    1.1-1.12页
    查看更多>>摘要:We investigate the consensus problem for a network of infinite-dimensional agents with directed switching topology. Different from the general parabolic-type agents, networked wave PDEs which are suitable to model a group of flexible spacecrafts are addressed in this paper. Under mild conditions, a boundary control protocol is proposed for the underlying system. Subsequently, a novel common Lyapunov function is constructed to guarantee consensus and detailed analysis of theoretical findings is obtained. The well-posedness is further considered with the help of semigroup theory and inductive method. Moreover, a numerical example is exhibited to support the derived results.

    Fast finite-time consensus strategy for multi-agent systems based on switching of different protocols

    Fan, TianpengHu, HongxiaoWan, QuanLi, Zhongguo...
    1.1-1.14页
    查看更多>>摘要:In multi-agent systems (MASs), the time to reach a consensus is an important factor in characterising system performance and control strategy. The linear protocol has a fast convergence rate when the initial error is large but slows significantly as the error decreases. Therefore, this paper combines the linear protocol with two finite-time protocols, and a switching strategy is designed to achieve fast finite-time consensus. First, when the connection topology is undirected, it is proved that the continuous finite-time consensus protocol is unnecessary, with the fastest convergence achieved by switching directly from the linear protocol to the discontinuous finite-time protocol. Two switching thresholds are provided. Subsequently, the results are extended to detail-balanced and leader-following graphs. Notably, in the leader-following case, the graph only needs to be connected without requiring strongly connected or detail-balanced. The proposed approach significantly reduces the time required for MAS consensus and eliminates the need for additional parameter calculations.

    Dynamic event-triggering asynchronous dissipative control for discrete-time Markov jump singularly perturbed systems with hybrid cyber attacks

    Wang, DetengWang, YanqianZhuang, GuangmingChen, Jian...
    1.1-1.19页
    查看更多>>摘要:This paper addresses the issue regarding asynchronous dissipative controller for a type of discrete-time Markov jump singularly perturbed systems (MJSPSs) with hybrid cyber attacks. To further alleviate the transmission burden on the communication network, dynamic event-triggering rules are proposed. Considering the impact of both deception attacks and denial-of-service (DoS) attacks on the discussed discrete-time MJSPSs, a novel hybrid cyber attacks model is initially constructed to consolidate these two types of attacks. An asynchronous controller is well constructed considering the mode information of Markov chain is exceedingly hard to obtain. Consequently, a hidden Markov model (HMM) is proposed to formulate the asynchronous situation between modes of the original Markov chain and the constructed asynchronous controller. By constructing the Lyapunov-Krasovskii functional concerning the singular perturbation parameter (SPP), sufficient criteria of achieving stochastic stability with a specific dissipative performance for the closed-loop MJSPSs are secured. Subsequently, the design methodology of non-synchronous controller and the dynamic event-triggering rules are furnished in a systematical way. Eventually, the superiority of the proffered mechanism is demonstrated by an ameliorative DC motor mathematical model.