Observer-based ℓ2−ℓ∞ℓ2−ℓ∞ control of 2D Roesser systems with random packet dropout

摘要

This study is concerned with the problem of observer-based l(2)-l(infinity) control of two-dimensional (2D) discrete-time Roesser systems with exogenous disturbances. The control channel is subject to random packet dropouts and the closed-loop dynamics is presented as a 2D system with stochastic multiplicative noises in the system state and output vectors. Based on a Lyapunov-like scheme, tractable conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that the closed-loop system is l(2)-l(infinity) stable with a prescribed attenuation level. On the basis of the derived stability conditions, the design parameters of an observer-based controller are obtained through an LMI setting. A numerical example with simulations is given to illustrate the effectiveness of the design method.