Fault detection filters design of polytopic uncertain discrete-time singular Markovian jump systems with time-varying delays

This paper aims to design the full-order and reduced-order fault detection filters (FDFs) under unified linear matrix inequality (LMI) conditions for polytopic uncertain discrete-time singular Markovian jump systems (DTSMJSs) with time-varying delays. The highlight of this work lies in that the designed full-order and reduced-order FDFs are suitable for four different state transition probability matrices (TPMs), and the reduced-order fault detection filter (FDF) not only meets fault detection (FD) sensitivity conditions of the complex systems but also improve the efficiency of FD. With the help of the Lyapunov function theory and convex polyhedron technique, a sufficient condition is presented to ensure that the singular model error augmented system is stochastically admissible with a prescribed H 8 performance index. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed design method. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.