scholarly journals H∞ control for a networked Markovian jump system subject to data packet loss based on the observer

Author(s):  
Yanfeng Wang ◽  
Xiaoyue Sun ◽  
Ping He ◽  
Zhigang Wu
2018 ◽  
Author(s):  
Asep Najmurrokhman

Makalah ini telah dipresentasikan dalam Seminar Nasional Informatika dan Aplikasinya (SNIA); Jurusan Informatika, Unjani, 18 Desember 2013. Dewasa ini, perkembangan sistem kendali yang diterapkan dalam industri modern mengarah kepadapemanfaatan jaringan komunikasi untuk menghubungkan antar bagian dalam sistem. Sistem kendali yang memanfaatkan jaringan komunikasi sebagai bagian dari lingkar kendali disebut networked control system (NCS).Penggunaan jaringan komunikasi, selain memberikan kemanfaatan dalam beberapa hal seperti kemudahan dalam pemeliharaan, reduksi biaya instalasi, modularisasi sistem, dan lain-lain, memunculkan parameter jaringan komunikasi yang tidak bisa dihindarkan seperti waktu tunda transmisi, kemungkinan hilangnya paket data yang dikirim (packet loss), terbatasnya lebar pita frekuensi, dan sebagainya. Makalah ini memaparkan desain pengendali untuk NCS dengan menggunakan umpan balik keadaan agar diperoleh tujuan pengendalian lingkar tertutupnya. Karena sifat stokastik dari parameter jaringan komunikasi, pemodelan NCS menggunakan pendekatan Markovian jump system (MJS). Selanjutnya, analisis dan sintesis sistem NCS menggunakan formulasi pertidaksamaan matriks linier. Hasil utama dari makalah ini berupa kondisi solusi dalam bentuk pertidaksamaan matriks linier agar diperoleh sebuah pengendali dengan umpan balik keadaan yang menghasilkan kinerja tertentu dari sistem NCS lingkar tertutupnya. Sebuah contoh numerik diberikan untuk mengilustrasikan keefektifan dari metode perancangan yang diuraikan dalam makalah ini.


2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
WanRu Wang ◽  
LianKun Sun ◽  
HongRu Gu

This paper puts forward a method to design the H∞ filter for networked control systems (NCSs) with time delay and data packet loss. Based on the properties of Markovian jump system, the packet loss is treated as a constant probability independent and identically distributed Bernoulli random process. Thus, the stochastic stability condition can be acquired for the filtering error system, which meets an H∞ performance index level γ. It is shown that, by introducing a special structure of the relaxation matrix, a linear representation of the filter meeting an H∞ performance index level for NCSs with time delay and packet loss can be obtained, which uses linear matrix inequalities (LMIs). Finally, numerical simulation examples demonstrate the effectiveness of the proposed method.


2021 ◽  
pp. 107754632198920
Author(s):  
Zeinab Fallah ◽  
Mahdi Baradarannia ◽  
Hamed Kharrati ◽  
Farzad Hashemzadeh

This study considers the designing of the H ∞ sliding mode controller for a singular Markovian jump system described by discrete-time state-space realization. The system under investigation is subject to both matched and mismatched external disturbances, and the transition probability matrix of the underlying Markov chain is considered to be partly available. A new sufficient condition is developed in terms of linear matrix inequalities to determine the mode-dependent parameter of the proposed quasi-sliding surface such that the stochastic admissibility with a prescribed H ∞ performance of the sliding mode dynamics is guaranteed. Furthermore, the sliding mode controller is designed to assure that the state trajectories of the system will be driven onto the quasi-sliding surface and remain in there afterward. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design algorithms.


2013 ◽  
Vol 846-847 ◽  
pp. 795-798
Author(s):  
Jiao Meng ◽  
Qi Hua Xu ◽  
Xiao Xiao

Improving network control system---NCS reliability and safety has important practical significance because NCS is a hot research subject in these years. Fault diagnosis methods are researched in this paper according to NCS with long-time delay and data packet loss. Firstly, given a NCS with long-time delay, a state observer is structured. Secondly, make the state estimation error equation equivalent to an asynchronous dynamical system having event incidence constraint according to whether the system having data packets loss. The problem of fault diagnosis is converted to filtering problem through structuring filtering residual system based on the observer, then giving a corresponding filter designing algorithm. The designed fault diagnosis filter system not only make sure the stability of the closed loop system but also make the residual systems norm less than given reduction level. Finally, the simulation results prove that the algorithm can diagnose faults effectively.


2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Lianglin Xiong ◽  
Xiaobing Zhou ◽  
Jie Qiu ◽  
Jing Lei

The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is firstly established. Then, making full use of the transition rate matrix, the results are obtained for the other case, and the uncertain neutral Markovian jump system with incomplete transition rates is also considered. Finally, to show the validity of the obtained results, three numerical examples are provided.


2018 ◽  
Vol 28 (18) ◽  
pp. 6016-6037 ◽  
Author(s):  
Jian-Ning Li ◽  
Yu-Fei Xu ◽  
Kai-Yang Gu ◽  
Lin-Sheng Li ◽  
Xiao-Bin Xu

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