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Minimax Control of Deviations for the Outputs of a linear discrete time-varying system

AUTOMATION AND REMOTE CONTROL 2019年第12期80卷 2091-2107页

作者： Balandin, D. V. Biryukov, R. S. Kogan, M. M. Lobachevsky Nizhny Novgorod State Univ Nizhnii Novgorod Russia Nizhny Novgorod State Univ Architecture & Civil E Nizhnii Novgorod Russia

It is demonstrated how to design optimal digital controllers on a finite horizon for the linear time-varying objects with uncertain initial conditions and external disturbances. The square of an optimality criterion, called the maximum output deviation, represents the exact guaranteed maximum value of the squared Euclidean norm of the system output normalized by the sum of the squared Euclidean norms of disturbances and a quadratic form of the initial state of a system. The maximum output deviations and the worst-case disturbances and/or initial conditions causing them, as well as the minimax controllers (including the multiobjective ones that minimize the maximum deviations of several outputs) are calculated as solutions to a semidefinite programming problem. The necessary and sufficient conditions for the finite-time stability and boundedness of a system are established;they can be used for controller design.

关键词： linear discrete time-varying system maximum deviation of output optimal control multiobjective problem optimal vibrational protection

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A Krein space-based approach to event-triggered H8 filtering for linear discrete time-varying systems

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AUTOMATICA 2022年 135卷 110001-110001页

作者： Zhong, Maiying Ding, Steven X. Han, Qing-Long He, Xiao Zhou, Donghua Shandong Univ Sci & Technol Coll Elect Engn & Automat Qingdao 266590 Peoples R China Univ Duisburg Essen Inst Automat Control & Complex Syst D-47057 Duisburg Germany Swinburne Univ Technol Sch Software & Elect Engn Melbourne Vic 3122 Australia Tsinghua Univ Dept Automat Beijing 100084 Peoples R China

This paper is concerned with the problem of event-triggered H-infinity filtering for linear discrete time-varying (LDTV) systems. Using the lifting technique, we firstly establish an equivalent relationship with a certain equivalent minimum problem of indefinite quadratic form subject to LDTV systems with non-uniform sampling periods. Then, based on Krein space projection and innovation analysis, sufficient and necessary conditions for the existence of desired filter are derived and a feasible solution is obtained in terms of Riccati recursions. Thus, an algorithm based on the time-update and event-update recursions is given for the implementation of event-triggered H-infinity filtering. Different from some existing results, a new event-triggered H-infinity filtering scheme is provided so that the estimation error can be completely decoupled from the event-triggered transmission error. Moreover, the new proposed Krein space approach is less conservative and more computational attractive than the existing methods based on recursive linear inequality matrix. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach. (c) 2021 Elsevier Ltd. All rights reserved.

关键词： Event-triggering mechanism H-infinity filtering linear discrete time-varying system Krein space Projection

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Distributed fault detection and isolation for uncertain linear discrete time-varying heterogeneous multi-agent systems

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INFORMATION SCIENCES 2021年 579卷 483-507页

作者： Wang, Ping Zou, Peilu Yu, Chengpu Sun, Jian Beijing Inst Technol Sch Automat Beijing 100081 Peoples R China Chongqing Innovat Ctr Beijing Inst Technol Chongqing 401147 Peoples R China

The distributed fault detection and isolation of linear discrete time-varying multi-agent systems subject to heterogeneous dynamics and norm bounded model uncertainties is investigated. By combining the model uncertainties and external disturbances into a new generalized disturbance, a distributed closed-loop residual generator is constructed based on the estimate of the generalized disturbance. Then, the concerned fault detection is transformed into an indefinite quadratic minimum problem by using the finite-horizon robust H-infinity filtering method, for which necessary and sufficient minimum conditions are provided by the Krein-space theory. Afterwards, a computationally efficient recursive algorithm is further developed to determine the residual for individual agent. Based on the resulting residuals, the fault occurrence can be alerted by devising a novel distributed fault detection scheme, which is then applied for the fault isolation by some appropriate transformation of the output measurements. Finally, both numerical and practical simulations are proposed to verify the effectiveness of the proposed algorithm. (C) 2021 Published by Elsevier Inc.

关键词： Multi-agent system Distributed fault detection and isolation linear discrete time-varying system Krein-space theory

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An H_i/H_∞ optimisation approach to distributed event-triggered fault detection over wireless sensor networks

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INTERNATIONAL JOURNAL OF systemS SCIENCE 2021年第6期52卷 1160-1170页

作者： Zhong, Maiying Xue, Ting Zhu, Xiaoqiang Zhang, Lu Shandong Univ Sci & Technol Coll Elect Engn & Automat Qingdao Shandong Peoples R China

This paper is concerned with the problem of distributed event-triggered fault detection (FD) for linear discrete time-varying systems over resource-constrained wireless sensor networks. To reduce unnecessary communication frequency of sensor measurements and thus communication resource expenditure, an event-triggered communication mechanism is employed to determine whether or not each sensor's measurement should be broadcast to the distributed fault detection filter (FDF) over the wireless network at each time step. Then, an H-i/H-infinity optimisation approach is proposed to achieve distributed event-triggered fault detection for the concerned system. Specifically, a set of distributed event-triggered FDFs is constructed based on the event-triggered measurement information from each sensor node and its adjacent nodes. Different from the existing distributed event-triggered FD schemes, the major contributions of this paper are twofold. First, the proposed FDF for each sensor node can be designed individually and the residual signal on each node is completely decoupled from the event-triggered transmission error. Second, the design of distributed event-triggered FDFs is formulated as an H-i/H-infinity optimisation problem and an optimal solution can be obtained by recursively computing some Riccati recursions. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

关键词： Event-triggered mechanism fault detection H-i/H-infinity optimisation sensor network linear discrete time-varying system

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Distributed Actuator Fault Detection of LDTV systems Using Relative Output Measurements 40

Distributed Actuator Fault Detection of LDTV Systems Using R...

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40th Chinese Control Conference (CCC)

作者： Wang, Ping Yu, Chengpu Beijing Inst Technol Sch Automat Beijing 100081 Peoples R China Chongqing Innovat Ctr Beijing Inst Technol Chongqing 401147 Peoples R China

ISBN: (纸本)9789881563804

This paper investigates the distributed actuator fault detection problem for linear discrete time-varying heterogeneous multi-agent systems using relative output measurements. Firstly, an augmented model is built for each agent by stacking all local relative output measurements for detection scheme design. Secondly, to deal with the affect caused by the absence of fault signals in the observation equation, a distributed fault detection residual generator is constructed by introducing the future output measurements and a feedback term. In addition, an indefinite quadratic minimum problem is proposed using the finite horizon H-infinity filtering framework, for which the necessary and sufficient minimum conditions are derived using the Krein-space theory. Then, a computationally efficient recursive algorithm is developed to determine the residual at each time step. Afterwards, a distributed fault detection scheme is provided to alert the fault occurrence. Finally, a simulation example is given to show the effectiveness of the proposed algorithm.

关键词： Multi-agent system fault detection linear discrete time-varying system Krein-space theory

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Scheme of optimal fault detection for linear discrete time-varying systems with delayed state

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Journal of systems Engineering and Electronics 2017年第5期28卷 979-985页

作者： Maiying Zhong Jie Chen Yue Geng School of Instrumentation Science and Opto-electronics Engineering Beihang University College of Electrical Engineering and Automation Shandong University of Science and Technology

This paper deals with the problem of the optimal fault detection (FD) for linear discrete time-varying (LDTV) systems with delayed state and l(2)-norm bounded unknown input. The novelty lies in the designing of an evaluation function for the robust FD. The basic idea is to directly construct an evaluation function by using a weighted l(2)-norm of the measurement output, which achieves an optimal trade-off between the sensitivity to fault and the robustness to l(2)-norm bounded unknown input. To avoid complex computation, a feasible solution is obtained via the recursive computation by applying the orthogonal projection. It is shown that such an evaluation function provides a unified scheme for both the cases of unknown input being l(2)-norm bounded and jointly normal distribution, while a threshold may be chosen based on a priori knowledge of unknown input. A numerical example is given to demonstrate the effectiveness of the proposed method.

关键词： fault detection evaluation function linear discrete time-varying system time-delay

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Distributed Actuator Fault Detection of LDTV systems Using Relative Output Measurements

Distributed Actuator Fault Detection of LDTV Systems Using R...

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第40届中国控制会议

作者： Ping Wang Chengpu Yu School of Automation Beijing Institute of Technology Beijing Institute of Technology Chongqing Innovation Center

This paper investigates the distributed actuator fault detection problem for linear discrete time-varying heterogeneous multi-agent systems using relative output ***,an augmented model is built for each agent by stacking all local relative output measurements for detection scheme ***,to deal with the affect caused by the absence of fault signals in the observation equation,a distributed fault detection residual generator is constructed by introducing the future output measurements and a feedback *** addition,an indefinite quadratic minimum problem is proposed using the finite horizon H∞ filtering framework,for which the necessary and sufficient minimum conditions are derived using the Krein-space ***,a computationally efficient recursive algorithm is developed to determine the residual at each time ***,a distributed fault detection scheme is provided to alert the fault ***,a simulation example is given to show the effectiveness of the proposed algorithm.

关键词： Multi-agent system fault detection linear discrete time-varying system Krein-space theory

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A Wavelet-based Parity Space Approach to Fault Detection of linear discrete time-varying systems

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IFAC-PapersOnLine 2017年第1期50卷 2836-2841页

作者： Zhong M. Xue T. Ding S.X. Zhou D. Ye H. Song N. Shandong University of Science and Technology Qingdao 266590 China University of Duisburg-Essen Duisburg 47057 Germany Tsinghua University Beijing China Beihang University Beijing China

This paper deals with the problem of parity space-based fault detection (FD) for linear discrete time-varying systems. In order to simultaneously ensure the performance of FD and avoid the heavy computational burden of high dimensional parity space, the techniques of stationary wavelet transform (SWT) on residual signals are applied in the paper. Based on this, the design of residual generators can be formulated as generalized optimization problems and a recursive algorithm is developed to a feasible solution of parity vectors. Furthermore, a bank of residual signals are generated at multiscales. The significant advantage of the SWT based parity space approach is the improvement of FD performance with low parity space order and an easy online realization. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach. © 2017

关键词： fault detection linear discrete time-varying system parity space wavelet transform

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A Wavelet-based Parity Space Approach to Fault Detection of linear discrete time-varying systems

A Wavelet-based Parity Space Approach to Fault Detection of ...

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20th World Congress of the International-Federation-of-Automatic-Control (IFAC)

作者： Zhong, Maiying Xue, Ting Ding, Steven X. Zhou, Donghua Ye, Hao Song, Ningfang Shandong Univ Sci & Technol Qingdao 266590 Peoples R China Univ Duisburg Essen D-47057 Duisburg Germany Tsinghua Univ Beijing Peoples R China Beihang Univ Beijing Peoples R China

关键词： fault detection parity space wavelet transform linear discrete time-varying system

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Stationary wavelet transform aided design of parity space vectors for fault detection in LDTV systems

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IET CONTROL THEORY AND APPLICATIONS 2018年第7期12卷 857-864页

作者： Xue, Ting Zhong, Maiying Ding, Steven X. Ye, Hao Univ Duisburg Essen Inst Automat Control & Complex Syst D-47057 Duisburg Germany Shandong Univ Sci & Technol Coll Elect Engn & Automat Qingdao 266590 Peoples R China Tsinghua Univ Dept Automat Beijing 100084 Peoples R China

This study deals with the problem of fault detection (FD) for linear discrete time-varying (LDTV) systems by combining the parity space-based method with the stationary wavelet transform (SWT). For the purpose of achieving good FD performance and simultaneously reducing the online computational burden resulted by high parity space order, SWT on residual signal is the first step in this study. This allows the formulation of residual generation as the selection of wavelet basis for SWT and the design of time-varying parity space vectors in a framework of multiscale optimisation. A recursive algorithm is developed for the computation of optimal parity space vectors and, based on this, a bank of residual signals can be obtained. Moreover, a weighted multiscale residual evaluation strategy is presented to detect the occurrence of a fault. The major contribution of the study lies in the development of a recursive design of SWT aided parity space vectors, which delivers an improvement of FD performance for a lower parity space order and an easy online implementation. A numerical example is demonstrated to illustrate the effectiveness of the proposed method.

关键词： wavelet transforms fault diagnosis linear systems discrete time systems time-varying systems optimisation lower parity space order SWT aided parity space vectors weighted multiscale residual evaluation strategy recursive algorithm multiscale optimisation framework time-varying parity space vector design wavelet basis selection residual generation residual signal high parity space order parity space-based method linear discrete time-varying system LDTV systems fault detection stationary wavelet transform aided design

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