A Reduced-order Fault Detection Filter Design for Polytopic Uncertain Continuous-time Markovian Jump Systems with Time-varying Delays

2018 ◽  
Vol 16 (5) ◽  
pp. 2021-2032 ◽  
Author(s):  
Lihong Rong ◽  
Xiuyan Peng ◽  
Biao Zhang
Keyword(s):  
Fault Detection ◽  
Continuous Time ◽  
Filter Design ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Markovian Jump ◽  
Reduced Order ◽  
Fault Detection Filter ◽  
Jump Systems ◽  
Detection Filter

scholarly journals Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-23 ◽  
Author(s):  
Yunling Shi ◽  
Xiuyan Peng
Keyword(s):  
Fault Detection ◽  
Continuous Time ◽  
Linear Matrix ◽  
Time Varying ◽  
Markovian Jump ◽  
Reduced Order ◽  
Fault Detection Filter ◽  
Singular Markovian Jump Systems ◽  
Jump Systems ◽  
Detection Filter

This paper investigates the problem of full-order and reduced-order fault detection filter (FDF) design under unified linear matrix inequality (LMI) conditions for a class of continuous-time singular Markovian jump systems (CTSMJSs) with time-varying delays and polytopic uncertain transition rates. By constructing a new Lyapunov function, sufficient conditions are firstly provided for the singular model error augmented system such that the system is stochastically admissible with an H∞ performance level γ. And then, by applying a novel convex polyhedron technique to decoupled linear matrix inequalities, the full-order and reduced-order fault detection filter parameters can be obtained within a convex optimization frame. The reduced-order fault detection filter (FDF) can not only meet the fault detection accuracy requirements of complex systems but also improve the fault detection efficiency. Finally, a DC motor and an illustrative simulation example are given to verify the feasibility and effectiveness of the proposed algorithms.

scholarly journals Improved Reduced-Order Fault Detection Filter Design for Polytopic Uncertain Discrete-Time Markovian Jump Systems with Time-Varying Delays

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Lihong Rong ◽  
Xiuyan Peng ◽  
Liangliang Liu ◽  
Biao Zhang
Keyword(s):  
Fault Detection ◽  
Discrete Time ◽  
Filter Design ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Markovian Jump ◽  
Reduced Order ◽  
Fault Detection Filter ◽  
Markovian Jump Linear Systems ◽  
Detection Filter

The fault detection (FD) reduced-order filtering problem is investigated for a family of polytopic uncertain discrete-time Markovian jump linear systems (MJLSs) with time-varying delays. Under meeting the control precision requirements of the complex systems, the reduced-order fault detection filter can improve the efficiency of the fault detection. Then, by the aid of the Markovian Lyapunov function and convex polyhedron techniques, some novel time-varying delays and polytopic uncertain sufficient conditions in terms of linear matrix inequality (LMI) are proposed to insure the existence of the FD reduced-order filter. Finally, an illustrative example is provided to verify the usefulness of the given method.

Sign in / Sign up

Export Citation Format

Share Document