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Delay-dependent dissipative filtering for nonlinear stochastic singular systems with time-varying delays

Science China(Information Sciences) 2017年第12期60卷 93-110页

作者： Shuangyun XING Feiqi DENG Systems Engineering Institute South China University of Technology College of Science Shenyang Jianzhu University

This paper concentrates on studying the delay-dependent dissipative filtering problem for nonlinear stochastic singular systems with time-varying delays via a Takagi-Sugeno(T-S) fuzzy control approach. The T-S fuzzy model is employed to represent a nonlinear stochastic singular system with unknown or partially unknown membership functions. Firstly, based on an auxiliary vector function, by utilizing an integral inequality and the free-weighting-matrix approach, a delay-dependent sufficient condition is derived to enable the considered filtering error system with time-varying delays to be stochastically admissible and dissipative. Furthermore,on the basis of the derived condition, by using a new type of candidate Lyapunov-Krasovskii function, the solvability conditions of the dissipative filter are addressed, and the corresponding fuzzy filter parameters can be obtained by solving a set of linear matrix inequalities. And then, we deduce the solving method for the H∞filter. The delay-dependent sufficient conditions are proposed to guarantee the systems to be regular, impulsefree, stochastically stable and to achieve a prescribed performance index ?γ. Finally, some simulation examples are proposed to manifest the effectiveness and merits of the filter design methodology developed in the paper.

关键词： nonlinear stochastic singular systems dissipative filtering unknown membership functions stochastic admissibility time-varying delays

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Finite-time asynchronous dissipative filtering of conic-type nonlinear Markov jump systems

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Science China(Information Sciences) 2021年第5期64卷 151-162页

作者： Xiang ZHANG Shuping HE Vladimir STOJANOVIC Xiaoli LUAN Fei LIU Key Laboratory of Intelligent Computing and Signal Processing (Ministry of Education) School of Electrical Engineering and Automation Anhui University Department of Automatic Control Robotics and Fluid Technique Faculty of Mechanical and Civil EngineeringUniversity of Kragujevac Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Institute of AutomationJiangnan University

In the present study, the finite-time asynchronous dissipative filter design problem for the Markov jump systems with conic-type nonlinearity is studied. The hidden Markov model can describe the asynchronism embodied in the system modes and the filter modes reasonably. Moreover, a suitable LyapunovKrasovskii function is utilized and linear matrix inequalities are applied to obtain adequate conditions. These techniques guarantee the finite-time boundedness and strict dissipativity of the filtering error dynamic system. Furthermore, the design problems of the passive filter and the H∞ filter are studied by adjusting the three parameters U, G and V. Finally, the filter gains and the optimal index α*are obtained and the correctness and feasibility of the designed approach are verified by a simulation example.

关键词： dissipative filtering hidden Markov model finite-time boundedness Markov jump systems conic-type nonlinearity

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dissipative filtering for Singular Semi-Markovian Jump Systems with Time-Varying Delays

Dissipative Filtering for Singular Semi-Markovian Jump Syste...

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第32届中国控制与决策会议

作者： Yao Wang J.H.Park Jun Guo School of Automation Nanjing University of Science and Technology Department of Electrical Engineering Yeungnam University

In this paper,the problem of dissipative filtering for time-varying delayed singular semi-Markovian jump systems is *** main objective is to design a mode-dependent dissipative filter to guarantee the stochastic admissibility of the error ***,by employing Lyapunov-Krasovskii functionals,the error system is proved to be stochastically admissible and strictly（Q,S,R）-***,the desired dissipative filter are acquired by applying linear matrix *** order to demonstrate the effectiveness of the proposed method,a numerical example is finally provided.

关键词： dissipative filtering Singular systems Semi-Markovian jump parameters Time-varying delay

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Dissipativity-Based Event-triggered filtering for Discrete-Time Neural Network with Unreliable Communication Links

Dissipativity-Based Event-triggered Filtering for Discrete-T...

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第37届中国控制会议

作者： Chaoxu Guan Dong Sun Zhongyang Fei Choon Ki Ahn Research Institute of Intelligent Control and Systems Harbin Institute of Technology College of Engineering and School of Electrical Engineering Korea University

This paper investigates dissipativity-based filtering for discrete-time neural network with stochastic packet dropout in the frame of limited communication capacity network. In order to save communication resource of the network, an event trigger scheme is introduced to govern the transmission of system output, which can effectively reduce the data package sent by the network and save the bandwidth. Moreover, packet dropout phenomenon, which is supposed to be uncertain so as to be more realistic, is taken into account in the network channel from sensor node to filter node. By applying a novel Lyapunov function,sufficient conditions are presented to guarantee the filtering error of the neural network system to be strictly（Q, S, R）-γ-dissipative. Furthermore, a filter and corresponding event trigger mechanism are codesigned based on the dissipativity ***, a simulation example is presented to illustrate the validity and merits of the proposed filter design strategy.

关键词： Discrete-time neural network dissipative filtering network-based system event trigger scheme uncertain packet dropout

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