Further results on stochastic admissibility for singular Markov jump systems using a dissipative constrained condition

2015 ◽  
Vol 59 ◽  
pp. 65-71 ◽  
Author(s):  
Hao Shen ◽  
Lei Su ◽  
Ju H. Park
Author(s):  
Yunling Shi ◽  
Xiuyan Peng

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.


Automatica ◽  
2021 ◽  
Vol 129 ◽  
pp. 109590
Author(s):  
Peng Cheng ◽  
Shuping He ◽  
Xiaoli Luan ◽  
Fei Liu

Sign in / Sign up

Export Citation Format

Share Document