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

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 random-bin...

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Published inIEEE access Vol. 8; pp. 196102 - 196111
Main Authors Li, Lingchun, Zhang, Guangming, Ou, Meiying
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Attenuation
Control systems
Dropouts
Dynamical systems
Feedback control
Fuzzy systems
H-infinity control
Liapunov functions
Linear matrix inequalities
Lyapunov methods
non-fragile control
Nonlinear control
Nonlinear systems
packet dropouts
Perturbation methods
piecewise Lyapunov function
Random variables
Silicon
static output control
Takagi-Sugeno fuzzy model
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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 random-binary 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 <inline-formula> <tex-math notation="LaTeX">H_\infty </tex-math></inline-formula> disturbance attenuation level. Finally, the effectiveness of the proposed method is illustrated by two numerical examples.
AbstractList 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 random-binary 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 <inline-formula> <tex-math notation="LaTeX">H_\infty </tex-math></inline-formula> disturbance attenuation level. Finally, the effectiveness of the proposed method is illustrated by two numerical examples.
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 random-binary 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 [Formula Omitted] disturbance attenuation level. Finally, the effectiveness of the proposed method is illustrated by two numerical examples.
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∞ disturbance attenuation level. Finally, the effectiveness of the proposed method is illustrated by two numerical examples.
Author Zhang, Guangming
Ou, Meiying
Li, Lingchun
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SubjectTerms Attenuation
Control systems
Dropouts
Dynamical systems
Feedback control
Fuzzy systems
H-infinity control
Liapunov functions
Linear matrix inequalities
Lyapunov methods
non-fragile control
Nonlinear control
Nonlinear systems
packet dropouts
Perturbation methods
piecewise Lyapunov function
Random variables
Silicon
static output control
Takagi-Sugeno fuzzy model
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Title A New Method to Non-Fragile Piecewise H∞ Control for Networked Nonlinear Systems With Packet Dropouts
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