Backstepping-based distributed abnormality localization for linear parabolic distributed parameter systems

Feng, Yongjin; Wang, Yaonan; Wang, Junwei; Li, Han-Xiong

doi:10.1016/j.automatica.2021.109930

Cited by 42 publications

(11 citation statements)

References 21 publications

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“…This literature shows node dynamics depending only on time. In practice, the dynamics of all processes are spatio-temporal [19][20][21]. As a consequence, it is necessary to study complex spatiotemporal networks (CSTNs), which is with spatio-temporal characteristics [22].…”

Section: Introductionmentioning

confidence: 99%

Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights

Yang

2022

Mathematics

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This paper deals with the leader-following synchronization of first-order, semi-linear, complex spatio-temporal networks. Firstly, two sorts of complex spatio-temporal networks based on hyperbolic partial differential equations (CSTNHPDEs) are built: one with a single weight and the other with multi-weights. Then, a new distributed controller is designed to address CSTNHPDE with a single weight. Sufficient conditions for the synchronization and exponential synchronization of CSTNHPDE are presented by showing the gain ranges. Thirdly, the proposed distributed controller addresses of CSTNHPDE with multi-weights, and gain ranges are obtained for synchronization and exponential synchronization, respectively. Finally, two examples show the effectiveness and good performance of the control methods.

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Section: Introductionmentioning

confidence: 99%

Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights

Yang

2022

Mathematics

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“…Fault tolerance is also a key point in the control problem of aerial refueling hoses [26,27]. Faults may cause practical outputs of actuators not match with set ideal values, thus affecting the control effect [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Vibration suppression and fault‐tolerant control of an aerial refueling hose with multiple actuators

Song

Yan

Wang

et al. 2022

Asian Journal of Control

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In this paper, we propose an adaptive fault‐tolerant boundary vibration control approach for the flexible aerial refueling hose with variable length, variable speed, and multiple actuators. A distributed parameter system (DPS) is utilized to represent the dynamic behavior of the flexible refueling hose more precisely and accurately. Based on the established DPS model, we present a boundary vibration controller to suppress the vibration of the flexible refueling hose. In the controller, fault‐tolerant control with multiple actuators is considered to tackle the failure issues, and both multiplicative and additive failures are discussed in the fault situation. Then, by the Lyapunov direct method, we prove that the stability of the closed‐loop system is guaranteed under the proposed control approach. Numerical examples are presented to support the theoretical derivation.

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“…Recently, Ferdowsi and Cai studied the problem of fault detection and estimation for a class of nonlinear DPS in [21], in which the method of parameter updating law is adopted to estimate the fault function. Feng, Wang et al in [22] studied a class of distributed anomaly location for linear DPS through a limited number of measurements. On this basis, the nonlinear term is introduced to further discuss the problem of abnormality detection in DPS.…”

Section: Introductionmentioning

confidence: 99%

Backstepping-Based Distributed Abnormality Detection for Nolinear Parabolic Distributed Prameter Systems

Chen¹

2022

ENG

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In this paper, we proposed a model-based abnormality detection scheme for a class of nonlinear parabolic distributed parameter systems (DPSs). The proposed methodology consists of the design of an observer and an abnormality detection filter (ADF) based on the backstepping technique and a limited number of in-domain measurements plus one boundary measurement. By taking the difference between the measured and estimated outputs from observer, a residual signal is generated for fault detection. For the detection purpose, the residual is evaluated in a lumped manner and we propose an explicit expression for the time-varying threshold. The convergence properties of the PDE observer and the residual are analyzed by Lyapunov stability theory. Eventually, the proposed abnormality detection scheme is demonstrated on a nonlinear DPS.

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Backstepping-based distributed abnormality localization for linear parabolic distributed parameter systems

Cited by 42 publications

References 21 publications

Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights

Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights

Vibration suppression and fault‐tolerant control of an aerial refueling hose with multiple actuators

Backstepping-Based Distributed Abnormality Detection for Nolinear Parabolic Distributed Prameter Systems

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