State estimation for 2-D uncertain systems with redundant channels and deception attacks: A set-membership method

This paper considers the estimation issue of two-dimensional uncertain systems with redundant channels and randomly occurring deception attacks. The redundant channel transmission is applied to improve transmission reliability, with channel packet losses characterized by a set of mutually uncorrelated random variables that follow the Bernoulli distribution. To simulate the random deception attacks, a Bernoulli distribution-based sequence is employed. The purpose of this study is to build a set-membership estimator for the considered system with redundant channels in the insecure network environment that limits the state estimate error to a predetermined ellipsoidal area. By employing the set-membership method with the mathematical induction technique, sufficient criteria are derived to guarantee the expected estimated performance. In addition, an optimization algorithm is further provided to ensure locally optimal estimation performance. Finally, a numerical simulation of the suggested set-membership estimation technique is presented to demonstrate its usefulness.