A novel full-order and reduced-order fault detection filters design method for continuous-time singular Markov jump systems with complexity transition rates

This work is concerned with the problem of full-order and reduced-order fault detection filters (FDFs) design in a convex optimization frame for continuous-time singular Markov jump systems (CTSMJSs) with complexity transition rates (TRs). A novel Lyapunov function construct approach is utilized to cope with the stochastic admissibility problem for CTSMJSs with complexity TRs. In order to obtain effective full-order and reduced-order FDFs, we decoupled the inequality using the presupposed Lyapunov matrix. Owing to the use of Lyapunov stochastic admissibility theory and a novel decoupling method based on convex polyhedron technique, some sufficient conditions are obtained to guarantee that the resulting full-order and reduced-order FDFs are suitable for CTSMJSs with complexity TRs. In particular, the reduced-order FDF has the advantages of small storage space and fast detection speed compared with the full order FDF. Four illustrative examples are given to explain the effectiveness of the proposed full-order and reduced-order FDFs design method.

Smooth switching linear parameter-varying fault detection filter design for morphing aircraft with asynchronous switching

This article deals with the problem of fault detection filters design for morphing aircraft with asynchronous switching. Considering time delay and intermittent measurements in the network environment, the morphing aircraft can be modeled as a switched linear parameter-varying (LPV) system. There always exists asynchronous switching phenomenon owing to time delay and data missing, which will lead to performance degradation. The parameter-dependent filters are established to generate the residual signal. In order to ensure the transient response of the morphing aircraft, the smooth switching LPV fault detection filters are designed by dividing the whole scheduling parameter set into subsets with overlaps. Meanwhile, the stability and prescribed performance of the system are guaranteed by combining multiple Lyapunov functional method and mode-dependent average dwell time method. The existing conditions and solution of filters are derived by linear matrix inequalities. Furthermore, an automatic partition method is proposed for the convenience of designing process. Simulation in the end demonstrates the superiority and effectiveness of the proposed method.