Comparison of four state observer design algorithms for MIMO system

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A state observer is a system that models a real system in order to provide an estimate of the internal state of the system. The design techniques and comparison of four different types of state observers are presented in this paper. The considered observers include Luenberger observer, Kalman observer, unknown input observer and sliding mode observer. The application of these observers to a Multiple Input Multiple Output (MIMO) DC servo motor model and the performance of observers is assessed. In order to evaluate the effectiveness of these schemes, the simulated results on the position of DC servo motor in terms of residuals including white noise disturbance and additive faults are compared.

[1] R. ISERMANN: Fault-Diagnosis Systems: An Introduction from Fault Detection to Fault Tolerance. Springer, 2006.

[2] G.B. WELCH: An Introduction To The Kalman Filter. Copyright 2001 by ACM, Inc., 2001.

[3] M.DAROUACH: On the novel approach to the design of unknown input observer. IEEE Trans. on Automatic Control, 39(3) (1994), 698-699.

[4] F. YANG and R.W. WILDE: Observers for linear systems with unknown input. IEEE Trans. on Automatic Control, 33(7), (1988), 677-668.

[5] E. KIYAK and O.C. AYSE KAHVECIOGLU: Aircraft sensor fault detection based on unknown input observers. An Int. J. Aircraft Engineering and Aerospace Technology, 80(5), (2008), 545-548.

[6] A.H. AI-BAYATI: A comparative study of linear observers applied to a DC servo motor. Int. Conf. on Modelling Identification and Control, 2010.

[7] J. ZAREI and J. POSHTAN: Sensor fault detection and diagnosis of a process using unknown input observer. Mathematical and Computational Applications, 16(1), (2011), 31-42.

[8] J. CHEN and R.J. PATTON: Robust model-based fault diagnosis for dynamic systems. Massachusetts: Kluwer Academic Publishers, 1999.

[9] S.DRAKUNOV and V. UTKIN: Sliding mode observers. Tutorial. 34th IEEE Conf.on Decision and Control, 4 (1998), 3376-3378.

[10] C. EDWARDS and S.K. SPURGEON: Sliding mode control: theory and applications. 7 Systems and Control Book Series. Taylor & Francis, London, pp.128-147, 1998.

[11] B.C. KUO and M.F. GOLNARAGHI: Automatic Control Systems. HobokenWiley, 8th ed. 2003.

[12] B.C. KUO: Digital Control Systems. Oxford University Press, 1992.

Archives of Control Sciences

The Journal of Polish Academy of Sciences

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IMPACT FACTOR 2016: 0.705

CiteScore 2016: 3.11

SCImago Journal Rank (SJR) 2016: 0.231
Source Normalized Impact per Paper (SNIP) 2016: 0.565

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