Unknown inputs observer for a class of nonlinear uncertain systems: An LMI approach

作者: Kamel Mohamed , Mohammed Chadli , Mohamed Chaabane

DOI: 10.1007/S11633-012-0652-2

关键词: Observer (quantum physics)Bounded functionLipschitz nonlinear systemsMathematicsControl theoryNonlinear systemUncertain systemsLipschitz continuityLinear matrix

摘要: This paper deals with the simultaneous estimation of states and unknown inputs for a class Lipschitz nonlinear systems using only measured outputs. The system is assumed to have bounded uncertainties that appear on both state output matrices. observer design problem formulated as set linear constraints which can be easily solved matrix inequalities (LMI) technique. An application based manipulator arm actuated by direct current (DC) motor presented evaluate performance proposed observer. applied estimate faults.

参考文章(21)
V. Puig, J. Korbicz, M. Witczak, LMI-based strategies for designing observers and unknown input observers for non-linear discrete-time systems Bulletin of The Polish Academy of Sciences-technical Sciences. ,vol. 55, pp. 31- 42 ,(2007)
Xue-Li Wu, Xiao-Jing Wu, Xiao-Yuan Luo, Quan-Min Zhu, Design of observer-based adaptive controller for nonlinear systems with unmodeled dynamics and actuator dead-zone International Journal of Automation and Computing. ,vol. 8, pp. 201- 208 ,(2011) , 10.1007/S11633-011-0574-4
F. Yang, R.W. Wilde, Observers for linear systems with unknown inputs IEEE Transactions on Automatic Control. ,vol. 33, pp. 677- 681 ,(1988) , 10.1109/9.1278
J. Meditch, G. Hostetter, Observers for systems with unknown and inaccessible inputs conference on decision and control. ,vol. 12, pp. 120- 124 ,(1973) , 10.1109/CDC.1973.269143
Fatima El Haoussi, El Houssaine Tissir, Robust H ∞ controller design for uncertain neutral systems via dynamic observer based output feedback International Journal of Automation and Computing. ,vol. 6, pp. 164- 170 ,(2009) , 10.1007/S11633-009-0164-X
Sharifuddin Mondal, Goutam Chakraborty, Kingshook Bhattacharyy, LMI approach to robust unknown input observer design for continuous systems with noise and uncertainties International Journal of Control, Automation and Systems. ,vol. 8, pp. 210- 219 ,(2010) , 10.1007/S12555-010-0205-9
MARTIN CORLESS, JAY TU, State and input estimation for a class of uncertain systems Automatica. ,vol. 34, pp. 757- 764 ,(1998) , 10.1016/S0005-1098(98)00013-2
Shih-Ho Wang, E. Wang, P. Dorato, Observing the states of systems with unmeasurable disturbances IEEE Transactions on Automatic Control. ,vol. 20, pp. 716- 717 ,(1975) , 10.1109/TAC.1975.1101076