Abstract
In this paper, the design of set membership filter is considered for discrete-time systems with nonlinear equality constraint. The nonlinear equality constraint is first linearized with linearizing truncation error and base point error which are uncertain quantities. Assuming that ellipsoids are applied to bound the process noise, measurement noise, fault signal, and linearing errors. Then all inequalities are combined by using S-procedure method. Finsler’s Lemma is employed to project the unconstrained set membership filter onto the constrained surface. LMI is developed for designing the set-membership filter with nonlinear equality constraint. Finally, a recursive algorithm is proposed to compute the state and fault ellipsoid that guarantee to contain the true value. The method of fault diagnosis based on the set membership filter with nonlinear state constraints not only can estimate the size of the fault, but also can detect the type of fault signal. The simulation result shows that the method presented is available and effective.
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Mu, YL., Miao, LL. (2014). Design of Fault Diagnosis Set Membership Filter for Systems with Nonlinear State Constraints. In: Tanaka, S., Hasegawa, K., Xu, R., Sakamoto, N., Turner, S.J. (eds) AsiaSim 2014. AsiaSim 2014. Communications in Computer and Information Science, vol 474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45289-9_6
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DOI: https://doi.org/10.1007/978-3-662-45289-9_6
Publisher Name: Springer, Berlin, Heidelberg
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