Paper Info
Title
Quantized dissipative filter design for Markovian switch T–S fuzzy systems with time-varying delays
Abstract
This article presents the results on delay-dependent conditions of extended quantized T–S fuzzy filtering based on Markovian switch system (Q-FMSS) in the existence of communication delays via a channel. Different from the existing fuzzy filter, a new fuzzy filter is proposed to receive not only the quantized output of the system but also gets the quantized delay output. The purpose of this paper is to solve the \(H_{\infty }\), \(L_{2}\) -\(L_{\infty }\), passive and dissipative filtering problems. The extended dissipative inequality contains several weighting matrices. By tuning the weighting matrices, the extended dissipativity will reduce to the \(H_{\infty }\) performance, \(L_{2}\) -\(L_{\infty }\) performance, passivity and dissipativity, respectively. Another drive of this paper is to fully investigate the properties of Transition Rates (TRs) of Markovian switch system with Membership Function (MF) by implementing the novel fuzzy Markovian Lyapunov–Krasovskii functional to obtain the sufficient LMI conditions (delay dependent) for stochastically stability and performance analysis of resulting error system. Extended dissipativity notation is employed to resolve the resulting error system to consider the \(H_{\infty }\), \(L_{2}-L_{\infty }\), dissipativity and passivity analyses, which are important for the power systems. Finally, a tunnel-diode example is given to elaborate the potentiality and effectiveness of the proposed design technique.
Year
DOI
Venue
2019
10.1007/s00500-019-03884-w
Soft Computing
Keywords
Field
DocType
Communication delay, Fuzzy Markovian switch system (F-MSS), Fuzzy Markovian Lyapunov–Krasovskii function, Delayed fuzzy filters
Mathematical optimization,Weighting,Matrix (mathematics),Computer science,Dissipative system,Fuzzy logic,Pure mathematics,Filter (signal processing),Fuzzy control system,Membership function,Filter design
Journal
Volume
Issue
ISSN
23.0
21.0
1433-7479
Citations 
PageRank 
References 
1
0.35
30
Authors
2
Name
Order
Citations
PageRank
Muhammad Shamrooz Aslam123.06
Li Qian-Mu23314.78