Design method of robustness fault detection filter of linear uncertain system

Abstract

The invention belongs to the control field and provides a design method of a robustness fault detection filter of a linear uncertain system. A Lyapunov function method on which a homogeneous polynomial parameter depend is introduced into robustness fault detection of a linear time invariant system with convex polyhedron nondeterminacy. Firstly, existence of an HPPDL function used for designing an RFDF can be verified through feasibility of a linear matrix inequality; secondly, maximal fault sensitivity is obtained through solving a generalized eigenvalue problem, and an optimal RFDF is obtained. With increase of polynomial time, quantity of the linear matrix inequality and a free variable are increased, and conservation of verification is reduced substantially. The design method comprises two phases: (1) designing an optimal RFDF for a residual error generator with certain interference attenuation and largest fault sensitivity; (2) carrying out threshold design for a residual error generated by estimation. Compared with a previous analogy method, the design method in the invention has generality.

Description

technical field [0001] The invention belongs to the field of control and provides a design method of a robust fault detection filter for a linear uncertainty system. Background technique [0002] Due to the increasing demand for high availability and high reliability of modern control systems, model-based fault detection is a very important technical issue. In a fault detection scheme, it is common to build a residual signal and compare it to a predetermined threshold: if the residual signal is larger than the threshold, an alarm will be generated. Since noise and interference may cause significant changes in the residual signal, the fault detection filter must remain robust in order to avoid false alarms. However, unlike concepts in robust control, the robustness of a fault detection system is not only affected by model faults and disturbances, but also related to the sensitivity to possible faults that need to be detected. Therefore, the problem of model-based fault dete...

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Problems solved by technology

[0005] In order to solve the technical problem of "introducing the homogeneous polynomial parameter-dependent Lyapunov function method into the robust fault detection problem of linear time-invariant systems with convex polyhedron uncertainty", the invention provides a linear uncertainty System Robust Fault Detection Filter Design Method

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