Fault detection filter design with adaptive mechanism for linear uncertain polytopic systems in finite frequency domains

作者：Shi, Chong-Xiao; Yang, Guang-Hong^*; Li, Xiao-Jian

来源：IET Control Theory and Applications, 2016, 10(16): 2027-2037.

DOI：10.1049/iet-cta.2016.0098

• fault diagnosis
• adaptive filters
• adaptive control
• linear systems
• uncertain systems
• linear matrix inequalities
• frequency-domain analysis
• H control
• time-varying filters
• fault detection filter design
• adaptive mechanism
• linear uncertain polytopic systems
• finite frequency domains
• FD filter design problem
• H_-H FD scheme
• disturbance effect minimization
• state variables
• time-varying gains
• tangent hyperplane technique
• fault sensitivity
• nonconvex problem

This study is concerned with the fault detection (FD) filter design problem for linear uncertain polytopic systems in finite frequency domains. The H-/H-infinity FD scheme is applied to maximise the sensitivity of faults and minimise the effect of disturbances. By decomposing the unavailable state variables, a new adaptive mechanism is developed to design the FD filter with time-varying gains. Moreover, a tangent hyperplane technique is introduced to solve the non-convex problem involved in. performance, and the FD filter design conditions with some parameters fixed are then given in terms of linear matrix inequalities. Finally, the advantages and effectiveness of the proposed FD technique are illustrated through a numerical example.

• 出版日期2016-10-31
• 单位东北大学