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Robust Fault Estimation Based on Proportional Differential (PD) Learning Observer for Linear Continuous-time Systems with State Timevarying Delay

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  • Control Theory and Applications
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Abstract

This article studies the fault estimation problem of linear systems with unkown state time-varying delay. A new PD learning observer (LO) is proposed to realize the simultaneous estimation of system states and actuator fault. Furthermore, the time-delay dependence criterion of the existence of the proposed observer is given through the technique of linear matrix inequalites (LMIs). Because the mismatch between the original system and the observer system in the time delay term has a bad influence on the fault estimation, the H∞ performance index is introduced. At the same time, the problem of sensor fault estimation based on PD learning observer for time-delay systems is studied. Finally, three simulation examples are used to prove the effectiveness of the proposed method.

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Authors and Affiliations

  1. College of Information Science and Engineer, Northeastern University, 3 Wenhua Road, Heping District, Shenyang, 110819, China

    Fuqiang You & Chao Wang

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  1. Fuqiang You
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  2. Chao Wang
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Correspondence to Chao Wang.

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This work was supported by the National Nature Science Foundation of China (61973067) and the Fundamental Research Funds for the Central Universities (N2104008).

Fuqiang You received his B.Eng. and M.Eng. degrees in automation from Harbin Institute of Technology, China, in 2000 and 2002, respectively, and received a Ph.D. degree in control science and engineering from School of Electronic Information and Electronic Engineering of Shanghai Jiaotong University, China in 2005. Currently, he is an associate professor in College of Information Science and Engineer, Northeastern University, China. His research interests include fault diagnostic and fault-tolerant control.

Chao Wang received his B.Eng. degree in automation from College of electric power of Inner Mongol University of Technology, China in 2017. His is pursuing an M.Eng. degree in control engineering in Northeastern University, China. His research interests include fault diagnostic and fault-tolerant control.

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You, F., Wang, C. Robust Fault Estimation Based on Proportional Differential (PD) Learning Observer for Linear Continuous-time Systems with State Timevarying Delay. Int. J. Control Autom. Syst. 20, 58–72 (2022). https://doi.org/10.1007/s12555-020-0750-9

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  • DOI: https://doi.org/10.1007/s12555-020-0750-9

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