Design of Dissipative Filter for Delayed Nonlinear Interconnected Systems via Takagi-Sugeno Fuzzy Modelling

Ju H. Park (), Tae H. Lee, Yajuan Liu and Jun Chen
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Ju H. Park: Yeungnam University, Department of Electrical Engineering
Tae H. Lee: Chonbuk National University, Division of Electronic Engineering
Yajuan Liu: North China Electric Power University, Control and Computer Engineering
Jun Chen: Jiangsu Normal University, School of Electrical Engineering and Automation

Chapter Chapter 12 in Dynamic Systems with Time Delays: Stability and Control, 2019, pp 271-293 from Springer

Abstract: Abstract This chapter is concerned with the problem of dissipative filtering of delayed nonlinear interconnected systems. The Takagi-SugenoTakagi-Sugeno fuzzy rules are used to model the considered nonlinear interconnected system. A delay-dependent condition is established by constructing the delay-dependent Lyapunov-Krasovskii functional and using a new integral inequality to ensure that the resulting closed-loop system is asymptotically stable and has a strict $$(Q, S,R)- \alpha $$ - dissipativity. In addition, by solving a set of linear matrix inequalitiesLinear matrix inequality (LMIs), a suitable filter is designed. In the case of $$\mathscr {H}_\infty $$ filtering, it will be shown that the presented method has better filtering performance than the existing methods. The validity of the developed filter design technique is justified by a simulation example.

Keywords: Dissipative filter; T-S fuzzy model; $$\mathscr {H}_\infty $$ filtering; Stability (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-9254-2_12

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DOI: 10.1007/978-981-13-9254-2_12

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