A New Method to Non-Fragile PiecewiseH∞Control for Networked Nonlinear Systems With Packet Dropouts

Lingchun Li,Meiying Ou,Guangming Zhang

doi:10.1109/access.2020.3034318

Lingchun Li, Meiying Ou + Show 1 more

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https://doi.org/10.1109/access.2020.3034318

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Journal: IEEE Access	Publication Date: Jan 1, 2020
Citations: 21	License type: CC BY 4.0

Affiliation: Nanjing Tech University, Chuzhou University

Abstract

This article is concerned with the non-fragile piecewise static output control problem of nonlinear networked control systems with packet dropouts. The Takagi-Sugeno fuzzy approach is used to model the nonlinear networked control systems. Then two stochastic variables subject to Bernoulli randombinary distribution are introduced to describe the packet dropouts of the communication channels between the physical plant and controller. Based on piecewise Lyapunov function and Finsler lemma, sufficient conditions are established via a set of linear matrix inequalities to guarantee the resulting closed-loop system to be stochastically stable with a required H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> disturbance attenuation level. Finally, the effectiveness of the proposed method is illustrated by two numerical examples.

Highlights

Takagi-Sugeno (T-S) fuzzy model, as a representative fuzzy logic control (FLC), has been widely investigated due to its capability of approximating complex nonlinear dynamic systems [1], [2]
The stability criterion is based on a common quadratic Lyapunov function (CQLF), which is easy for system analysis
Communication links among system components maybe unreliable because of network congestion, time delay, packet dropouts and so on, which could lead to system performance degradation or even instability

Summary

Introduction

Takagi-Sugeno (T-S) fuzzy model, as a representative fuzzy logic control (FLC), has been widely investigated due to its capability of approximating complex nonlinear dynamic systems [1], [2]. The multi-mode in Markov jump systems is used to depict the stochastic characteristics, while the multi-mode in T-S fuzzy models is used to describe the nonlinearity of systems With regard to this topic, a great amount of results on systematic stability analysis and control synthesis can be found in [8]– [14] and the reference therein. The stability criterion is based on a common quadratic Lyapunov function (CQLF), which is easy for system analysis This method could lead to general conservativeness, especially for highly nonlinear complex systems. To overcome this shortage, the method using a piecewise quadratic Lyapunov function (PQLF) is proposed in [15], which is consecutive through regional boundaries of state space. It is noted that all of the above works are based on the assumption that all system states are accessible, which is hard to be realized in practical systems

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