H∞ control for a class of 2-D nonlinear systems with intermittent measurements

In this paper, the problem of H∞ control for a class of 2-D nonlinear systems with intermittent measurements and sector nonlinearities is considered. A stochastic variable satisfying the Bernoulli random binary distribution is utilized to characterize the data dropouts. Our attention is focused on the design of a state feedback controller such that the closed-loop 2-D stochastic nonlinear system is mean-square asymptotic stability and has an H∞ disturbance attenuation performance. A sufficient condition is established by means of linear matrix inequalities (LMI) technique, and formulas can be given for the control law design. The result is also extended to more general cases where the system matrices contain uncertain parameters. Numerical example is also given to illustrate the effectiveness of proposed approach.