Adaptive neural network output-feedback stabilization for a class of stochastic nonlinear strict-feedback systems

Zidonghua Xuebao/ Acta Automatica Sinica

Volumn 36, Issue 3, 2010, Pages 450-453

  Li, Jing ^a   Li, Jun Min ^a   Chen, Wei Sheng ^a  

^a XIDIAN UNIVERSITY   (China)

Author keywords

Adaptive backstepping; Neural network (NN); Nonlinear observer; Output feedback stabilization; Stochastic nonlinear strict feedback systems

Indexed keywords

ADAPTIVE BACKSTEPPING; ADAPTIVE NEURAL NETWORKS; BACK-STEPPING METHOD; CONTROL SCHEMES; NON-LINEAR OBSERVER; NONLINEAR OBSERVER DESIGN; OUTPUT-FEEDBACK; OUTPUT-FEEDBACK CONTROLLERS; SIMULATION EXAMPLE; STOCHASTIC CONTROL; STRICT FEEDBACK SYSTEMS;

BACKSTEPPING; FEEDBACK CONTROL; FUZZY CONTROL; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS; NONLINEAR FEEDBACK; STABILIZATION; STOCHASTIC SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 77951889702     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: 10.3724/SP.J.1004.2010.00450     Document Type: Article

References (13)

1. Krstic M, Kanellakopoulos I, Kokotovic P V. Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
2. Zhao Ping, Liu Shu-Jun. Adaptive stabilization control of a class of large-scale stochastic nonlinear systems with time-delays and unknown virtual control coefficients. Acta Automatica Sinica, 2008, 34(8): 912-920.
3. Liu S J, Jiang Z P, Zhang J F. Globally output-feedback stabilization for a class of stochastic non-minmum-phase nonlinear systems. Automatica, 2008, 44(2): 1944-1957.
4. Liu S J, Zhang J F. Output-feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states. International Journal of Robust and Nonlinear Control, 2008, 18(6): 665-687.
5. Pan Z G, Basar T. Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion. SIAM Journal on Control and Optimization, 1999, 37(3): 957-995.
6. Liu Y G, Pan Z G, Shi S J. Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost. IEEE Transactions on Automatic Control, 2003, 48(3): 509-513.
7. Xie X J, Tian J. Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization. Automatica, 2009, 45(1): 126-133.
8. Krstic M, Deng H. Stabilitization of Nonlinear Uncertain Systems. London: Springer-Verlag, 1998.
9. Polycarpou M M, Mears M J. Stable adaptive tracking of uncertain systems using nonlinearly parametrized on-line approximators. International Journal of Control, 1998, 70(3): 363-384.
10. Chen W. Adaptive NN control for discrete-time purefeedback systems with unknown control direction under amplitude and rate actuator constraints. ISA Transactions, 2009, 48(3): 304-311.
11. Fan X Z, Arcak M. Observer design for systems with multi-variable monotone nonlinearities. Systems and Control Letters, 2003, 50(4): 319-330.
12. Oksendal B K. Stochastic Differential Equations-An Introduction with Applications (Sixth Edition). New York: Springer-verlag, 2005.
13. Deng H, Krstic M, Williams R J. Stabilization of stochastic nonlinear systems driven by noise of unknown covariance. IEEE Transactions on Automatic Control, 2001, 46(8): 1237-1253.