Tracking Control Problem for Networked Stochastic System with Random Parameter Uncertainties Subject to Parallelly Occurring Deception Attacks

This paper is concerned with the tracking control problem for a class of discrete-time networked stochastic systems subject to parallelly occurring deception attacks (PODAs), where the random parameter uncertainties (RPUs) are simultaneously considered in the plant. To character the phenomenon of RPUs, a sequence taking values of 0 and 1 is employed, whose statistical characteristic is known in advance. Unfortunately, however, the deception attacks do not always occur in single form during the process of data transmission. The PODAs is thus proposed, whose description is successfully realized through two random variables behaving according to Bernoulli distribution. With aid of the aforementioned measurements, a desired output-feedback tracking controller is obtained. The aim of this paper is to develop an output-feedback controller for which the tracking error is exponentially ultimately bounded in the mean-square sense (EUBMS) as a result. The existence constraints on the eligible tracking controller are finally achieved in terms of linear matrix inequality. The reference output signal is tracked well by using the proposed tracking controller in a developed example with different inputs and disturbance, which thus fulfills the performance test.