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Extended Dissipative Filter for Delayed T-S Fuzzy Network of Stochastic System with Packet Loss


Affiliations
1 COMSATS University Islamabad, Attock Campus 43600, Pakistan
2 School of Automation, Nanjing University of Science and Technology, 210 094, China
3 School of Automation, Guangxi University of Science and Technology, Liuzhou 545 006, China
 

This research investigates a time-varying delay-based adaptive event-triggered dissipative filtering problem for the interval type-2 (IT-2) Takagi-Sugeno (T-S) fuzzy networked stochastic system. The concept of extended dissipativity is used to solve the 𝐻∞, L2 - L∞ and dissipative performances for (IT-2) T-S fuzzy stochastic systems in a unified manner. Data packet failures and latency difficulties are taken into account while designing fuzzy filters. An adaptive event-triggered mechanism is presented to efficiently control network resources and minimise excessive continuous monitoring while assuring the system’s efficiency with extended dissipativity. A new adaptive event triggering scheme is proposed which depends on the dynamic error rather than pre-determined constant threshold. A new fuzzy stochastic Lyapunov-Krasovskii Functional (LKF) using fuzzy matrices with higher order integrals is built based on the Lyapunov stability principle for mode-dependent filters. Solvability of such LKF leads to the formation of appropriate conditions in the form of linear matrix inequalities, ensuring that the resulting error mechanism is stable. In order to highlight the utility and perfection of the proposed technique, an example is presented.

Keywords

Adaptive Event-Triggered Scheme, Delayed Fuzzy Filters, Extended Dissipativity, IT–2 T-S Fuzzy Systems.
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  • Extended Dissipative Filter for Delayed T-S Fuzzy Network of Stochastic System with Packet Loss

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Authors

Rizwan Ullah
COMSATS University Islamabad, Attock Campus 43600, Pakistan
Yina Li
School of Automation, Nanjing University of Science and Technology, 210 094, China
Muhammad Shamrooz Aslam
School of Automation, Guangxi University of Science and Technology, Liuzhou 545 006, China
Andong Sheng
School of Automation, Nanjing University of Science and Technology, 210 094, China

Abstract


This research investigates a time-varying delay-based adaptive event-triggered dissipative filtering problem for the interval type-2 (IT-2) Takagi-Sugeno (T-S) fuzzy networked stochastic system. The concept of extended dissipativity is used to solve the 𝐻∞, L2 - L∞ and dissipative performances for (IT-2) T-S fuzzy stochastic systems in a unified manner. Data packet failures and latency difficulties are taken into account while designing fuzzy filters. An adaptive event-triggered mechanism is presented to efficiently control network resources and minimise excessive continuous monitoring while assuring the system’s efficiency with extended dissipativity. A new adaptive event triggering scheme is proposed which depends on the dynamic error rather than pre-determined constant threshold. A new fuzzy stochastic Lyapunov-Krasovskii Functional (LKF) using fuzzy matrices with higher order integrals is built based on the Lyapunov stability principle for mode-dependent filters. Solvability of such LKF leads to the formation of appropriate conditions in the form of linear matrix inequalities, ensuring that the resulting error mechanism is stable. In order to highlight the utility and perfection of the proposed technique, an example is presented.

Keywords


Adaptive Event-Triggered Scheme, Delayed Fuzzy Filters, Extended Dissipativity, IT–2 T-S Fuzzy Systems.

References