Abstract
This paper introduces a relaxation design of fault estimation observer for some nonlinear dynamical plants by means of the Takagi–Sugeno method. A featured fuzzy fault estimation observer is produced by utilizing the named maximum-priority-based switching law, which is different from these existing ones. For each enabled switching signal, the appropriate piece of enabled matrices can be produced to explore certain serviceable properties of the considered plants by introducing a piece of matrix-valued variables. Owing to the more useful information of the considered nonlinear plant could be properly updated and effectively employed at each time instant, the conservatism of the given result can be significantly released, at the same time, the result is less restraint than that previous ones. At last, there are some simulation results of the considered nonlinear truck-trailer plant are given to prove the profit of our theoretic approach.
This work was sponsored by “Six Talent Peaks Project” in Jiangsu Province of China under Grant XNY-040, in part sponsored by “Qing Lan Project” in Jiangsu Province of China.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. 15(1), 116–132 (1985)
Su, X., Shi, P., Wu, L., Nguang, S.K.: Induced l2 filtering of fuzzy stochastic systems with time-varying delays. IEEE Trans. Cynern. 43(4), 1251–1264 (2013)
Zhang, H., Xie, X.: Relaxed stability conditions for continuous-time T-S fuzzy control systems via augmented multi-indexed matrix approach. IEEE Trans. Fuzzy Syst. 19(3), 478–492 (2011)
Liu, D., Wu, C., Zhou, Q., Lam, H.-K.: Fuzzy guaranteed cost output tracking control for fuzzy discrete-time systems with different premise variables. Complexity 21(5), 265–276 (2016)
Li, H., Wang, J., Wu, L., Lam, H.K., Gao, Y.: Optimal guaranteed cost sliding mode control of interval type-2 fuzzy time-delay systems. IEEE Trans. Fuzzy Syst. (2017). doi:10.1109/TFUZZ.2017.2648855
Zhang, D., Cai, W., Xie, L., Wang, Q.: Nonfragile distributed filtering for T-S fuzzy systems in sensor networks. IEEE Trans. Fuzzy Syst. 23(5), 1883–1890 (2015)
Wang, L., Lam, H.K.: Local stabilization for continuous-time Takagi-Sugeno fuzzy systems with time delay. IEEE Trans. Fuzzy Syst. (2016). doi:10.1109/TFUZZ.2016.2639564
Li, H., Wu, C., Jing, X., Wu, L.: Fuzzy tracking control for nonlinear networked systems. IEEE Trans. Cybern. 47, 2020–2031 (2016). doi:10.1109/TCYB.2016.2594046
Li, H., Shi, P., Yao, D.: Adaptive sliding mode control of Markov jump nonlinear systems with actuator faults. IEEE Trans. Autom. Control 62, 1933–1939 (2016). doi:10.1109/TAC.2016.2588885
Wang, H., Yang, G.-H.: Dynamic output feedback controller design for affine T-S fuzzy systems with quantized measurements. ISA Trans. 64, 202–215 (2016)
Ding, B.C.: Stabilization of Takagi-Sugeno model via nonparallel distributed compsensation law. IEEE Trans. Fuzzy Syst. 18(1), 188–194 (2010)
Hou, L., Cheng, J., Qi, H.: Event-triggered reliable control for fuzzy Markovian jump systems with mismatched membership functions. ISA Trans. 66, 96–104 (2016). doi:10.1016/j.isatra.2016.09.006
Oliveira, R.C.L.F., Peres, P.L.D.: Parameter-dependent LMIs in robust analysis: characterization of homogeneous polynomially parameter-dependent solutions via LMI relaxations. IEEE Trans. Autom. Control 52(7), 1334–1340 (2007)
Ding, B.C.: Homogeneous polynomially nonquadratic stabilization of discrete-time Takagi-Sugeno systems via nonparallel distributed compensation law. IEEE Trans. Fuzzy Syst. 18(5), 994–1000 (2010)
Xie, X., Yue, D., Zhang, H., Xue, Y.: Control synthesis of discrete-time T-S fuzzy systems via a multi-instant homogenous polynomial approach. IEEE Trans. Cybern. 46(3), 630–640 (2016)
Ding, S.X.: Model-Based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools. Springer, Berlin (2008). doi:10.1007/978-1-4471-4799-2
Zhang, K., Jiang, B., Shi, P.: Integrated fault estimation and accommodation design for discrete-time Takagi-Sugeno fuzzy systems with actuator faults. IEEE Trans. Fuzzy Syst. 19(2), 291–304 (2011)
Ding, D.-W., Yang, G.-H.: Fuzzy filter design for nonlinear systems in finite-frequency domain. IEEE Trans. Fuzzy Syet. 18(5), 935–945 (2010)
Yang, H., Xia, Y., Liu, B.: Fault detection for T-S fuzzy discrete systems in finite-frequency domain. IEEE Trans. Syst. Man Cybern. B Cybern. 41(4), 911–920 (2011)
Feng, G.: Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions. IEEE Trans. Fuzzy Syst. 11(5), 605–612 (2003)
Zhang, K., Jiang, B., Shi, P.: Fault estimation observer design for discrete-time Takagi-Sugeno fuzzy systems based on piecewise Lyapunov functions. IEEE Trans. Fuzzy Syst. 20(1), 192–200 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Xie, X., Liu, Y. (2017). Fault Estimation Observer Design of Nonlinear Systems with Actuator Faults. In: Yue, D., Peng, C., Du, D., Zhang, T., Zheng, M., Han, Q. (eds) Intelligent Computing, Networked Control, and Their Engineering Applications. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 762. Springer, Singapore. https://doi.org/10.1007/978-981-10-6373-2_45
Download citation
DOI: https://doi.org/10.1007/978-981-10-6373-2_45
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6372-5
Online ISBN: 978-981-10-6373-2
eBook Packages: Computer ScienceComputer Science (R0)