中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30206-030206.doi: 10.1088/1674-1056/22/3/030206
王佳a, 会国涛b, 解相朋b
Wang Jia (王佳)a, Hui Guo-Tao (会国涛)b, Xie Xiang-Peng (解相朋)b
摘要: We study the stability analysis and control synthesis of uncertain discrete-time two-dimensional (2D) systems. The mathematical model of the discrete-time 2D system is established upon the well-known Roesser model, and the uncertainty phenomenon, which appears typically in practical environments, is modeled by a convex bounded (polytope type) uncertain domain. Then, the stability analysis and control synthesis of uncertain discrete-time 2D systems are developed by applying the Lyapunov stability theory. In the processes of stability analysis and control synthesis, the obtained stability/stabilzaition conditions become less conservative by applying some novel relaxed techniques. Moreover, the obtained results are formulated in the form of linear matrix inequalities, which can be easily solved via the standard numerical software. Finally, numerical examples are given to demonstrate the effectiveness of the obtained results.
中图分类号: (Control theory)