Brief Paper - Stabilisation of a class of two-dimensional nonlinear systems with intermittent measurements

This study is concerned with the problem of stabilisation for a class of two-dimensional (2D) nonlinear systems with intermittent measurements and sector nonlinearities. The intermittent measurement is modelled by a stochastic variable satisfying the Bernoulli random binary distribution. Our attention is focused on the design of a state feedback controller for such 2D stochastic system described by the Roesser model, such that the closed-loop system is mean-square asymptotically stable. A sufficient condition is established by means of linear matrix inequalities technique, and formulae 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 examples are also given to illustrate the effectiveness of proposed approach.