Multi-constrained fault estimation observer design with finite frequency specifications for continuous-time systems

Abstract

The design of a multi-constrained full-order fault estimation observer (FFEO) with finite frequency specifications is studied for continuous-time systems. By constructing an augmented system, a multi-constrained FFEO in finite frequency domain is proposed to achieve fault estimation. Meanwhile, the presented FFEO can avoid the overdesign problem generated by the entire frequency domain by the generalised Kalman–Yakubovich–Popov lemma. Furthermore, by introducing slack variables, improved results on FFEO design in different frequency domains are obtained such that different Lyapunov matrices can be separately designed for each constraint. Simulation results are presented to demonstrate the effectiveness and potentials of the proposed techniques.

Keywords:

• fault diagnosis
• fault estimation
• finite frequency
• multiple constraints

Additional information

Funding

This work is partially supported by the National Natural Science Foundation of China [grant numbers 61304112], [grant number 61273171], [grant number 61074080]; China Postdoctoral Science Foundation Funded Project [grant number 2012M521079], [grant number 2013T60535]; Jiangsu Postdoctoral Science Foundation [grant number 1201013B]; Natural Science Foundation of Jiangsu Province [grant number BK20131364]; Fundamental Research Funds for the Central Universities [grant number NE2014202]; Australian Research Council [grant number DP140102180]; National Key Basic Research Program (973) China [grant number 2011CB710706], [grant number 2012CB215202]; 111 Project [grant number B12018].