Extended Dissipative Filtering of Nonhomogeneous Markovian Jump Singular IT2 Fuzzy Systems via Supermartingale-Like Approach
Yingying Han, Shaosheng Zhou · IEEE Control Systems Letters · 2023
This paper addresses the extended dissipative filtering for a class of discrete-time nonhomogeneous Markovian jump singular interval type-2 fuzzy systems (IT2 NMJSSs). Construct a stochastic process which is a supermartingale or a supermartingale-like process over natural σ-algebra under some conditions. In light of the supermartingale-like approach and the property of conditional expectation, a sufficient condition is established to guarantee that the filtering error system is regular, causal, exponentially stable in mean square and extended dissipative via backward recursion. Supported with matrix decomposition involving in this sufficient condition, the filter can be developed by making use of Finsler’s Lemma. Finally, a numerical example is given to demonstrate the effectiveness of the design techniques in this paper.