Simultaneous actuator and sensor fault estimation for descriptor LPV system based on \(H_{\infty}\) reduced-order observer. (English) Zbl 1351.93144
Summary: This paper addresses the problems of simultaneous actuator and sensor fault estimation for a class of descriptor linear parameter varying systems. By extending the sensor fault as an auxiliary state, the original system can be transformed into a descriptor one. Then, by the using of \(H_{\infty}\) optimization technique, a reduced-order observer is developed with a new defining variable. The proposed approach is based on the parameterizations of the obtained algebraic constraints from the error equation. By using the designed reduced-order observer and super twisting algorithm, the actuator fault can be reconstructed via a polytopic algebraic method. Finally, a simulation example of electric network is given to illustrate the validation of the proposed method.
MSC:
| 93E10 | Estimation and detection in stochastic control theory |
| 93C05 | Linear systems in control theory |
| 93B36 | \(H^\infty\)-control |
| 93C15 | Control/observation systems governed by ordinary differential equations |
Keywords:
fault estimation; reduced-order observer; descriptor linear parameter varying system; super twisting algorithmReferences:
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