Unknown Input Observer untuk Robust Detection Sinyal Kesalahan terhadap Disturbance Menggunakan LMI

  • Samiadji Herdjunanto Universitas Gadjah Mada
Keywords: Unknown Input Observer (UIO), Deteksi kesalahan, Robust, Lyapunov, Stabilitas, Linear Matrix Inequality (LMI), Motor DC

Abstract

Implementation of time scheduled maintenance is not suitable if it is applied for systems with many varieties of heavy workload and harsh environment, since on that condition components degrade earlier than those under normal condition. Therefore, it has been shifted to condition-based maintenance (CBM). One important aspect, among others, toward successfull implementation of CBM method is fault signal detection which is robust against disturbance. The proposed solution of the problem is to use Unknown Input Observer (UIO) where its parameters are chosen so that UIO can be used for fault signal detection which is robust against disturbance. The parameter values of UIO are calculated using linear matrix inequality (LMI) derived from Lyapunov stability requirement. To demonstrate the effectiveness of the proposed solution, simulation is performed on a separately-excited DC motor where its load has a step change and time-varying change. The result shows that a fault signal as a function of nonlinear state can be detected using UIO which is robust against both step and time-varying load of the DC motor.

References

Barlow, R.E & Proschan, F., Statistical Theory of Reliability and Life Testing, Holt, Reinhart and Winston., 1981.

Ambani,S., Li,L. & Ni,J., “Condition-Based Maintenance Decision-Making for Multiple Machines Systems”, Journal of Manufacturing Science and Engineering, Vol. 131, hal. 031009-1 - 031009-9, 2009.

Donca, G., Mihaila, I. & Nica, M., “Aspects of Model-Based Diagnostics in Condition Based Maintenance”, Fascicle of Management and Technological Eng, Vol. VII, hal. 1346-1349, 2008.

Herdjunanto, S, “Pembangkitan Decoupled Residual untuk Isolasi Kesalahan Aktuator Pesawat Terbang Bergerak Lateral,” Jurnal Nasional Teknik Elektro dan Teknologi Informasi (JNTETI), Vol. 5, No. 3, hal. 239 - 243, 2016.

Herdjunanto, S., Susanto, A., and Wahyunggoro, O., “Robust Residual Generation for Actuator Fault Isolation,” The 5th International Conference on Information Technology and Electrical Engineering (ICITEE), 2013, hal. 486-491.

Meskin, N. and Khorasani, K., “Actuator Fault Detection and Isolation for a Network of Unmanned Vehicles,” IEEE Trans. Automat. Contr., Vol. 54, No. 4, hal. 835–840, 2009.

Herdjunanto, S., Susanto, A, and Wahyunggoro, O., “Robust Residual Generation for Sensor Fault Isolation in Systems with Structured Uncertainty: A Case Study: MIMO Web Winding System,” The 6th International Conference on Information Technology and Electrical Engineering (ICITEE), 2014, hal. 405–410.

Reppa, V., Polycarpou, M. M., and Panayiotou, C.G., “Adaptive Approximation for Multiple Sensor Fault Detection and Isolation of Nonlinear Uncertain Systems,” IEEE Trans. Neural Networks Learn. Syst., Vol. 25, No. 1, hal. 137–153, 2014.

Zhang, X., “Sensor Bias Fault Detection and Isolation in a Class of Nonlinear Uncertain Systems Using Adaptive Estimation,” IEEE Trans. Autom. Control., Vol. 56, No. 5, hal. 1220–1226, 2011.

Chen, W., Chen, W.T., Saif, M., Li, M.F., Wu, H., “Simultaneous Fault Isolation and Estimation of Lithium-Ion Batteries via Synthesized Design of Leuenberger and Learning Observers”, IEEE Trans on Control Systems Technology, Vol.22, No.1, hal. 290-298, 2014.

Chowdhury, F.N., Aravena, J.L., "A Modular Methodology for Fast Fault Detection and Classification in Power Systems”, IEEE Trans on Control Systems Technology, Vol.6, No.5, hal. 623-634, 1998.

Codetta-Raiteri, D. and Portinale, L., “Dynamic Bayesian Networks for Fault Detection, Identification, and Recovery in Autonomous Spacecraft”, IEEE Trans on Systems, Man and Cybernetics: Systems, Vol. 45, No.1, hal. 13-24, 2015.

Gu, D.W., Poon, F.W., “A Robust Fault-Detection Approach with Application in a Rolling –Mill Process”. IEEE Trans on Control Systems Technology, Vol. 11, No.3, hal. 408-414, 2003.

Darouach, M., Zasadzinski, M., Xu, J., “Full-Order Observers for Linear Systems,” IEEE Trans. Autom. Control., Vol. 39, No. 3, hal. 606–609, 1994.

Chen, W. and Saif, M., “Unknown Input Observer Design for a Class of Nonlinear Systems: an LMI Approach,” Proceedings of the 2006 American Control Conference, 2006, no. 1, pp. 834–838.

Golnaraghi, F. and Kuo, B. C., Automatic Control Systems, 9th ed. New Jersey: John Wiley and Sons, 2010.

Published
2018-06-07
How to Cite
Samiadji Herdjunanto. (2018). Unknown Input Observer untuk Robust Detection Sinyal Kesalahan terhadap Disturbance Menggunakan LMI. Jurnal Nasional Teknik Elektro Dan Teknologi Informasi, 7(2), 197-203. Retrieved from https://dev.journal.ugm.ac.id/v3/JNTETI/article/view/2771
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Articles