This study concerns the problem of asynchronous H∞ filtering in relation to a class of two-dimensional (2D) Markov jump systems. The asynchronous phenomenon is considered to occur in a random way, and the mismatch behaviour is determined by a stochastic variable with Bernoulli random binary distribution. A stochastic parameter-dependent approach is proposed for the design of H∞ filter such that, for any admissible random mismatch, the filtering error system is mean-square asymptotically stable and has a prescribed H∞ performance level. Moreover, a key relationship of the H∞ performance between the results presented and the classical mode-dependent, mode-independent filtering is demonstrated. A numerical example is provided to illustrate the effectiveness and advantage of the developed theoretical results.
Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, 518055, People's Republic of China. Chinese University of Hong Kong, Hong Kong, People's Republic of China
M. Q. -H. Meng