Abstract
In this paper, the problems of fault detection and estimation for nonlinear dynamic systems are considered by using fault detection observer and adaptive fault diagnosis observer. Based on Lyapunov stability theory and linear matrix inequality (LMI) techniques, a new sufficient condition in terms of LMIs for the proposed problem is derived. At the same time, we get the adaptive fault estimation algorithm. The LMI condition can be easily solved by MATLAB LMI toolbox. Finally, a flexible joint robotic example is given to illustrate the efficiency of the proposed approach.
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L. Bai, Z. Tian, S. Shi, Robust fault detection for a class of nonlinear time-delay systems. J. Franklin Inst. 344, 873–888 (2007)
M. Blanke, M. Kinnaert, J. Lunze, M. Staroswiecki, Diagnosis and Fault-Tolerant Control (Springer, Berlin, 2006)
J. Chen, R.J. Patton, Robust Model-Based Fault Diagnosis for Dynamic Systems (Kluwer Academic, Boston, 1999)
W. Chen, S. Mehrdad, Adaptive sensor fault detection and isolation in uncertain systems, in Proceedings of the 2007 American Control Conference (2007), pp. 3240–3245
M.L. Corradini, G. Orlando, Actuator fault identification and compensation through sliding modes. IEEE Trans. Control Syst. Technol. 15(1), 184–190 (2007)
Q. Ding, M. Zhong, On designing H ∞ fault detection filter for Markovian jump linear systems with polytopic uncertainties. Int. J. Innov. Comput., Inf. Control 6(3A), 995–1004 (2010)
Z. Gao, B. Jiang, R. Qi, Y. Xu, Y. Cheng, Fuzzy observer design for near-space vehicle with application to sensor fault estimation. ICIC Express Lett. 4(1), 177–182 (2010)
Z. Gao, B. Jiang, P. Shi, Y. Xu, Fault accommodation for near-space vehicle via T-S fuzzy model. Int. J. Innov. Comput., Inf. Control 6(11), 4843–4856 (2010)
Z. Gu, D. Wang, D. Yue, Fault detection for continuous-time networked control systems with non-ideal QOS. Int. J. Innov. Comput., Inf. Control 6(8), 3631–3640 (2010)
X. He, Z. Wang, D. Zhou, Robust fault detection for networked systems with communication delay and data missing. Automatica 45, 2634–2639 (2009)
S. Huang, K.T. Kok, Fault detection and diagnosis based on modeling and estimation methods. IEEE Trans. Neural Netw. 20(5), 872–881 (2009)
J. Bin, M. Staroswiecki, V. Cocquempot, Fault accommodation for nonlinear dynamic systems. IEEE Trans. Autom. Control 51(9), 1578–1583 (2006)
X. Jin, G. Yang, Robust adaptive fault-tolerant compensation control with actuator failures and bounded disturbances. Acta Autom. Sin. 35(3), 305–309 (2009)
C. Liu, S. Zhang, S. Hu, Adaptive neural-networks-based fault detection and diagnosis using unmeasured states. IET Control Theory Appl. 2(12), 1066–1076 (2008)
X. Tang, G. Tao, S.M. Joshi, Adaptive actuator failure compensation for nonlinear MIMO systems with an aircraft control application. Automatica 43(11), 1869–1883 (2007)
H. Wang, G. Yang, Fault estimations for linear systems with polytopic uncertainties. Int. J. Syst. Control Commun. 1(1), 53–71 (2008)
Y. Wang, W. Wang, D. Wang, LMI approach to design fault detection filter for discrete-time switched systems with state delays. Int. J. Innov. Comput., Inf. Control 6(1), 387–398 (2010)
R. Wang, G. Jin, J. Zhao, Robust fault-tolerant control for a class of switched nonlinear systems in lower triangular form. Asian J. Control 9(1), 68–72 (2007)
D. Zhang, Z. Wang, S. Hu, Robust satisfactory fault-tolerant control of uncertain linear discrete-time systems: an LMI approach. Int. J. Syst. Sci. 38(2), 151–165 (2008)
K. Zhang, B. Jiang, Analysis and design of adaptive fault estimation for time-varying delay systems, in Proceedings of the 27th Chinese Control Conference (2008), pp. 38–42
K. Zhang, B. Jiang, P. Shi, Fast fault estimation and accommodation for dynamical systems. IET Control Theory Appl. 3(2), 189–199 (2009)
Y. Zhang, Z. Wang, J. Zhang, J. Ma, Fault detection based on discriminant analysis theory in power systems. ICIC Express Lett. 4(3A), 809–814 (2010)
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Qiu, J., Ren, M., Niu, Y. et al. Fault Estimation for Nonlinear Dynamic Systems. Circuits Syst Signal Process 31, 555–564 (2012). https://doi.org/10.1007/s00034-011-9348-z
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DOI: https://doi.org/10.1007/s00034-011-9348-z