Robust fuzzy control of nonlinear stochastic delay systems with impulsive effects

The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive stochastic systems with time-varying delays is investigated. The nonlinear delay system is represented by the well-known T-S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state...

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Published inInternational journal of systems science Vol. 41; no. 10; pp. 1163 - 1172
Main Authors Yu, Jianjiang, Zhang, Kanjian, Fei, Shumin, Jiang, Haibo
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.10.2010
Taylor & Francis
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Delay
Exact sciences and technology
Fuzzy control
impulsive control
mean square exponential stability
nonlinear stochastic systems
Nonlinearity
Stochasticity
T-S fuzzy model
State feedback
nonlinear stochastic systems
T-S fuzzy model
Non linear control
Delay system
Impulse control
Exponential stability
Non linear system
Modeling
Closed feedback
Robust control
Fuzzy logic
Fuzzy control
Time varying system
Uncertain system
mean square exponential stability
Linear matrix inequality
Stochastic control
Delay effect
Non deterministic system
impulsive control
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Abstract The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive stochastic systems with time-varying delays is investigated. The nonlinear delay system is represented by the well-known T-S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for mean square exponential stability of the closed-loop system are derived in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the applicability of the theoretical results.
AbstractList The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive stochastic systems with time-varying delays is investigated. The nonlinear delay system is represented by the well-known T-S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for mean square exponential stability of the closed-loop system are derived in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the applicability of the theoretical results.
Author Fei, Shumin
Yu, Jianjiang
Zhang, Kanjian
Jiang, Haibo
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  givenname: Kanjian
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  fullname: Fei, Shumin
  organization: School of Automation , Southeast University
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  givenname: Haibo
  surname: Jiang
  fullname: Jiang, Haibo
  organization: School of Mathematics , Yancheng Teachers University
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Keywords State feedback
nonlinear stochastic systems
T-S fuzzy model
Non linear control
Delay system
Impulse control
Exponential stability
Non linear system
Modeling
Closed feedback
Robust control
Fuzzy logic
Fuzzy control
Time varying system
Uncertain system
mean square exponential stability
Linear matrix inequality
Stochastic control
Delay effect
Non deterministic system
impulsive control
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Snippet The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive stochastic systems with time-varying delays is investigated. The nonlinear delay...
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SubjectTerms Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Delay
Exact sciences and technology
Fuzzy control
impulsive control
mean square exponential stability
nonlinear stochastic systems
Nonlinearity
Stochasticity
T-S fuzzy model
Title Robust fuzzy control of nonlinear stochastic delay systems with impulsive effects
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