title: $H_\infty $ Control for 2-D Fuzzy Systems With Interval Time-Varying Delays and Missing Measurements.
abstract: In this paper, we consider the H∞control problem for a class of 2-D Takagi-Sugeno fuzzy described by the second Fornasini-Machesini local state-space model with time-delays and missing measurements. The state delays are allowed to be time-varying within a known interval. The measurement output is subject to randomly intermittent packet dropouts governed by a random sequence satisfying the Bernoulli distribution. The purpose of the addressed problem is to design an output-feedback controller such that the closed-loop system is globally asymptotically stable in the mean square and the prescribed H∞performance index is satisfied. By employing a combination of the intensive stochastic analysis and the free weighting matrix method, several delay-range-dependent sufficient conditions are presented that guarantee the existence of the desired controllers for all possible time-delays and missing measurements. The explicit expressions of such controllers are derived by means of the solution to a class of convex optimization problems that can be solved via standard software packages. Finally, a numerical simulation example is given to demonstrate the applicability of the proposed control scheme.
authors.forename: Yuqiang
authors.initials: Y
authors.lastname: Luo
authors.forename: Zidong
authors.initials: Z
authors.lastname: Wang
authors.forename: Jinling
authors.initials: J
authors.lastname: Liang
authors.forename: Guoliang
authors.initials: G
authors.lastname: Wei
authors.forename: Fuad E
authors.initials: FE
authors.lastname: Alsaadi