Abstract
The robust fault detection filter (RFDF) design problem for linear time invariant (LTI) system with unknown inputs is studied. The design objectives are set to minimize a combined performance index H ∞ / H −over the specified frequency range as well as to satisfy regional constraints on filter poles. A linear matrix inequality (LMI) based solution is proposed with the aid of the recently developed generalized KYP lemma. The advantage of the proposed solution lies in that the real values of the H ∞ , H − indices over the given finite frequency range are accessible during the solving process. Based on that, an optimal solution minimizing the performance index H ∞ / H − with filter poles lie in the specified region is proposed by converting the design problem to a standard LMI optimization problem. An aircraft design example demonstrates the effectiveness of the proposed solution.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hou, M., Patton, R.J.: An LMI Approach to H ∞ / H_ Fault Detection Observers. In: UKACC International Conference on Control, UK, pp. 305–310 (1996)
Ding, S.X., Jeinsh, T., Frank, P.M., Ding, E.L.: A Unified Approach to the Optimization of Fault Detection Systems. International Journal of Adaptive Control and Signal Processing 14(7), 725–745 (2000)
Liu, J., Wang, J.L., Yang, G.H.: Worst-Case Fault Detection Observer Design: An LMI Approach. In: The International Conference on Control and Automation, pp. 1243–1247 (2002)
Liu, J., Wang, J.L., Yang, G.H.: An LMI Approach to Minimum Sensitivity Analysis with Application to Fault Detection. Automatica 41(11), 1995–2004 (2005)
Wang, H.B., Lam, J., Ding, S.X., Zhong, M.Y.: Iterative Linear Matrix Inequality Algorithms for Fault Detection with Unknown Inputs. Journal of Systems and Control Engineering 219(2), 161–172 (2005)
Wang, H.B., Wang, J.L., Lam, J.: Robust Fault Detection Observer Design. Iterative LMI Approaches 129(1), 77–83 (2007)
Rank, M., Niemann, H.: Norm Based Design of Fault Detectors. International Journal of Control 72(9), 773–783 (1999)
Iwasaki, T., Hara, S.: Robust Control Synthesis with General Frequency Domain Specifications: Static Gain Feedback Case. In: American Control Conference, pp. 4613–4618 (2004)
Iwasaki, T., Hara, S.: Generalized KYP Lemma: Unified Frequency Domain Inequalities with Design Applications. IEEE Transaction of Automatic Control 50(1), 41–59 (2005)
Skelton, R.E., Iwasaki, T., Grigoriadis, K.M.: A Unified Algebraic Approach to Linear Control Design. Taylor&Francis, London (1997)
Wang, H., Wang, J.L.: Fault Detection Observer Design in Low Frequency Domain. In: IEEE International Conference on Control Applications, Singapore, pp. 976–981 (2007)
Wang, J.H., Shi, Z.K., Cao, L.: Application of Mixed H2 / H ∞ Robust Control to Aircraft. Flight Dynamics 18(4), 61–64 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cui, Y., Huang, Xh., Wang, M. (2009). Multi-objective Robust Fault Detection Filter Design in a Finite Frequency Range. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5553. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01513-7_80
Download citation
DOI: https://doi.org/10.1007/978-3-642-01513-7_80
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01512-0
Online ISBN: 978-3-642-01513-7
eBook Packages: Computer ScienceComputer Science (R0)