This paper investigates the problem of output feedback stabilization for a class of stochastic feedforward nonlinear systems with time-varying input delay. The drift and diffusion terms satisfy the linear growth condition and are dependent on unmeasurable states and the delayed input. First, we use a change of coordinates to introduce a scaling gain into the system. Then, based on the high-gain observer technique, a delay-free output feedback controller with the scaling gain is developed. Based on the Lyapunov–Krasovskii method and the idea of feedback domination, it is shown that the closed-loop system can be rendered globally asymptotically stable in probability via appropriately choosing the scaling gain. Finally, two examples are presented to illustrate the effectiveness of the proposed scheme.
AiWZhaiJFeiS (2013) Global finite-time stabilization for a class of stochastic nonlinear systems by dynamic state feedback. Kybernetika49: 590–600.
2.
AiWZhaiJFeiS (2015) Output feedback stabilization for a class of stochastic high-order feedforward nonlinear systems with time-varying delay. Asian Journal of Control. DOI:10.1002/asjc.970.
3.
BattilottiS (2005) Stochastic stabilization of nonlinear systems in feedforward form with noisy outputs. IEEE Transactions on Automatic Control50: 100–105.
4.
ChenWWuJJiaoL (2012) State-feedback stabilization for a class of stochastic time-delay nonlinear systems. International Journal of Robust and Nonlinear Control22: 1921–1937.
5.
DengHKrstićM (1997) Stochastic nonlinear stabilization I: A backstepping design. Systems and Control Letters32: 143–150.
DuHQianCHeYChengY (2013) Global sampled-data output feedback stabilisation of a class of upper-triangular systems with input delay. IET Control Theory and Application, 7: 1437–1446.
8.
DuHQianCLiSFryeM (2012) Global output feedback stabilization of a class of upper-triangular systems with input delay. In Proceedings of 2012 American Control Conference, Montréal, Canada, pp. 5435–5439.
9.
FengJXuS (2010) Output feedback stabilization for a class of stochastic non-linear systems with delays in input. Asian Journal of Control12: 110–115.
10.
JiaoTXuSWeiYChuYZouY (2014) Decentralized global stabilization for stochastic high-order feedforward nonlinear systems with time-varying delays. Journal of the Franklin Institute351: 4872–4891.
11.
JoHChoiHLimJ (2014) Observer based output feedback regulation of a class of nonlinear systems with uncertain input and state delays using adaptive gain. Systems and Control Letters71: 44–53.
12.
LanderC (1993) Power Electronics, 3rd edition. New York: McGraw-Hill.
13.
LiWJingYZhangS (2010) Output-feedback stabilization for stochastic nonlinear systems whose linearizations are not stabilizable. Automatica46: 752–760.
14.
LiuLXieX (2013) State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay. Automatica49: 936–942.
15.
LiuSZhangJ (2008) Output-feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states. International Journal of Robust and Nonlinear Control18: 665–687.
16.
LiuSGeSZhangJ (2008) Adaptive output feedback control for a class of uncertain stochastic nonlinear delays. International Journal of Control81: 1210–1220.
17.
MazencFMondiéSFranciscoR (2004) Global asymptotic stabilization of feedforward systems with delay in the input. IEEE Transactions on Automatic Control49: 844–850.
18.
MörtersPPeresY (2010) Brownian Motion. New York: Cambridge University Press.
19.
ZhaWZhaiJFeiS (2014a) Output feedback control for a class of stochastic high-order nonlinear systems with time-varying delays. International Journal of Robust and Nonlinear Control24: 2243–2260.
20.
ZhaWZhaiJFeiS (2013): Global output feedback control for a class of high-order feedforward nonlinear systems with input delay. ISA Transactions52: 494–500.
21.
ZhaWZhaiJFeiSWangY (2014b) Finite-time stabilization for a class of stochastic nonlinear systems via output feedback. ISA Transactions53: 709–716.
22.
ZhaiJQianC (2012) Global control of nonlinear systems with uncertain output function using homogeneous domination approach. International Journal of Robust and Nonlinear Control22: 1543–1561.
23.
ZhaoGXieX (2013) A homogeneous domination approach to state feedback of stochastic high-order feedforward nonlinear systems. International Journal of Control86: 966–976.
