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Disturbance observer-based disturbance attenuation control for a class of stochastic systems. (English) Zbl 1329.93129
Summary: This paper studies a class of stochastic systems with multiple disturbances which include the disturbance with partially-known information and the white noise. A disturbance observer is constructed to estimate the disturbance with partially-known information, based on which, a Disturbance Observer-Based Disturbance Attenuation Control (DOBDAC) scheme is proposed by combining pole placement and Linear Matrix Inequality (LMI) methods.

MSC:
93E03 Stochastic systems in control theory (general)
93B35 Sensitivity (robustness)
93C73 Perturbations in control/observation systems
93B55 Pole and zero placement problems
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[1] Chen, W. H., Disturbance observer based control for nonlinear systems, IEEE/ASME Transactions on Mechatronics, 9, 4, 706-710, (2004)
[2] Deng, H.; Krstic, M., Stabilization of stochastic nonlinear systems driven by noise of unknown covariance, IEEE Transactions on Automatic Control, 46, 8, 1237-1253, (2001) · Zbl 1008.93068
[3] Guo, L.; Chen, W. H., Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach, International Journal of Robust and Nonlinear Control, 15, 109-125, (2005) · Zbl 1078.93030
[4] Guo, L.; Wen, X. Y., Hierarchical anti-disturbance adaptive control for nonlinear systems with composite disturbances and applications to missile systems, Transactions of the Institute of Measurement and Control, 33, 8, 942-956, (2011)
[5] Hasha, M.D. (1986). Reaction wheel mechanical noise variations, Engineering Memorandum SSS 218, LMSC.
[6] Krstic, M.; Deng, H., Stabilization of nonlinear uncertain systems, (1988), Springer-Verlag New York
[7] Krstic, M.; Deng, H., Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance, Systems & Control Letters, 39, 173-182, (2000) · Zbl 0948.93053
[8] Kurzanskii, A. B., On stochastic filtering approximations of estimation problems for systems with uncertainty, Stochastics, 23, 109-130, (1988) · Zbl 0633.60060
[9] Liu, M.; Zhang, L.; Shi, P.; Karimi, H. R., Robust control for stochastic system against bounded disturbances with application to flight control, IEEE Transactions on Industrial Electronics, 61, 3, 1504-1515, (2014)
[10] Mao, X. R.; Yuan, C. G., Stochastic differential equations with Markovian switching, (2006), Imperial College Press London
[11] Øksendal, B., Stochastic differential equations-an introduction with applications, (2003), Springer-Verlag New York · Zbl 1025.60026
[12] Wei, X. J.; Guo, L., Composite disturbance-observer-based control and terminal sliding mode control for nonlinear systems with disturbances, International Journal of Control, 82, 6, 1082-1098, (2009) · Zbl 1168.93322
[13] Wei, X. J.; Guo, L., Composite disturbance-observer-based control and \(H_\infty\) control for complex continuous models, International Journal of Robust and Nonlinear Control, 20, 1, 106-118, (2010) · Zbl 1191.93014
[14] Wu, Z. J.; Yang, J.; Shi, P., Adaptive tracking for stochastic nonlinear systems with Markovian switching, IEEE Transactions on Automatic Control, 55, 9, 2135-2141, (2010) · Zbl 1368.93669
[15] Yang, Z.; Tsubakihara, H., A novel robust nonlinear motion controller with disturbance observer, IEEE Transactions on Control Systems Technology, 16, 1, 137-147, (2008)
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