A class of stochastic systems with multiple disturbances, which includes white noises and disturbances whose time derivative is bounded, is considered in this paper. To estimate the unknown bounded disturbance, a stochastic disturbance observer is proposed. Based on the observer, a disturbance observer-based disturbance control scheme is constructed such that the composite closed-loop system is asymptotically bounded. Finally, a simulation example is given to demonstrate the feasibility and effectiveness of the proposed scheme.
BickelRTomizukaR (1999) Passivity-based versus disturbance observer based robot control: equivalence and stability. ASME Journal of Dynamic Systems, Control and Measurement121: 41–47.
2.
CaoSYYiYGuoL (2014) Anti-disturbance fault diagnosis for non-Gaussian stochastic distribution systems with multiple disturbances. Neurocomputing136: 315–320.
3.
ChenMChenWH (2010) Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. International Journal of Adaptive Control and Signal Processing24(1): 51–64.
4.
ChenMRenBBWuQX (2015) Anti-disturbance control of hypersonic flight vehicles with input saturation using disturbance observer. Science China Information Sciences58(7): 1–12.
5.
ChenWH (2003) Nonlinear disturbance observer-enhanced dynamic inversion control of missiles. Journal of Guidance Control and Dynamics26(1): 161–166.
6.
ChenWH (2004) Disturbance observer based control for nonlinear systems. IEEE/ASME Trans. Mechatronics9(4): 706–710.
7.
ChengYP (2000) The Theory of Matrices. 2nd edition. Xi’an: Northwestern Polytechnical University Press, pp: 333–335.
8.
GuoLCaoSY (2013) Anti-Disturbance Control for Systems with Multiple Disturbances. New York: CRC Press.
9.
GuoLChenWH (2005) Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach. International Journal of Robust and Nonlinear Control15(3): 109–125.
10.
GuoLWenXY (2011) Hierarchical anti-disturbance adaptive control for non-linear systems with composite disturbances and applications to missile systems. Transactions of the Institute of Measurement and Control33(8): 942–956.
11.
LiHXVanDB (1993) A robust disturbance-based control and its application. International Journal of Control58: 573–554.
12.
LiSHYangJChenWHet al. (2010) Disturbance Observer Based Control: Methods and Applications. CRC Press.
13.
MaoXRYuanCG (2006) Stochastic Differential Equations with Markovian Switching. London: Imperial College Press.
14.
NakaoMOhnishiKMiyachiK (1987) A robust decentralized joint control based on interference estimation. In: Proc. 1987 IEEE Int. Conf. Robotics and Automation, March . Raleigh, NC, USA. IEEE Conference Publications, pp.326–331.
15.
ØksendalB (2003) Stochastic Differential Equations – An Introduction with Applications. 6th ed.New York: Springer–Verlag.
16.
RongMChenMGuoWW (2015) Robust adaptive control scheme for optical tracking telescopes with unknown disturbances. Optik-International Journal for Light and Electron Optics126(11–12): 1185–1190.
17.
WeiXJChenN (2014) Composite hierarchical anti-disturbance control for nonlinear systems with DOBC and fuzzy control. International Journal of Robust and Nonlinear Control24(2): 362–373.
18.
WeiXJGuoL (2009) Composite disturbance-observer-based control and terminal sliding mode control for nonlinear systems with disturbances. International Journal of Control82(6): 1082–1098.
19.
WeiXJGuoL (2010) Composite disturbance-observer-based control and H∞ control for complex continuous models. International Journal of Robust and Nonlinear Control20(1): 106–118.
20.
WeiXJHamidRKWuZJ (2016) Disturbance observer-based anti-disturbance control for a class of stochastic systems. Automatica162: 105–109.
21.
WenXYGuoLYanP (2014) Composite hierarchical anti-disturbance control for robotic systems with multiple disturbances. International Journal of Control, Automation and Systems12(3): 541–551.
22.
YangJChenWHLiSH (2011) Nonlinear disturbance observer-based robust control for systems with mismatched disturbances/uncertainties. IET Control Theory and Applications5(18): 2053–2062.
23.
YangJLiSHYuXH (2013) Sliding-mode control for systems with mismatched uncertainties via a disturbance observer. IIEEE Transactions on Industrial Electronics60(1).
24.
YangZTsubakiharaH (2008) A novel robust nonlinear motion controller with disturbance observer. IEEE Transactions on Control Systems Technology16(1): 137–147.
