Search results for "scaled small gain theorem"

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Robust stability and stabilization of uncertain T-S fuzzy systems with time-varying delay: An input-output approach

2013

An input-output approach to the stability and stabilization of uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delay is proposed in this paper. The time-varying parameter uncertainties are assumed to be norm-bounded, and the delay is intervally time varying. A novel method is employed to approximate the time-varying delay, based on which the considered system is transformed into a feedback interconnection form. The new formulation of the system is comprised of a forward subsystem with constant time delay and a feedback subsystem embedding the uncertainties. By applying the scaled small-gain theorem to the converted system, less conservative stability and stabilization criteria…

Input/outputInterconnectionMathematical optimizationTakagi-Sugeno (T-S) modelApplied MathematicsUncertain systemsFuzzy control systemstabilityStability (probability)scaled small gain theoremComputational Theory and MathematicsControl theoryDelay systems; scaled small gain theorem; stability; Takagi-Sugeno (T-S) model; Control and Systems Engineering; Artificial Intelligence; Computational Theory and Mathematics; Applied MathematicsControl and Systems EngineeringArtificial IntelligenceEmbeddingRobust controlConstant (mathematics)MathematicsDelay systems
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