Robust L2–L∞ control for nonlinear networked control systems with random time delays
LI Yan-hui
WU Di
Abstract：In this paper, the problem of observer-based robust L2-L∞ controller design for a class of continuous non-linear networked control systems is considered in Takagi-Sugeno (T- S) fuzzy model. A new system model with probability distribution information is established by introducing a Bernoulli random variable to represent the probability of the delay distribution in different intervals, assuming that the time-varying delay in the network environment has a certain stochastic property. According to the parallel distributed compensation (PDC) and Lyapunov stability theory, the L2-L∞ criterion based on T- S fuzzy model is established to make the system mean square exponential stability. And the state observer gain and the controller gain matrixes are obtained by linear matrix inequality (LMI) technique. Finally, the simulation results verify the effectiveness of the proposed method.
Keywords：networked control systemsT- S fuzzy modelBernoulli random variablesobserverexponential stability
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 931-937 )