Stability analysis and H∞ control of discrete T–S fuzzy hyperbolic systems
By: Ruirui Duan, Junmin Li, Yanni Zhang, Ying Yang and Guopei Chen
References
- Bemporad, A., Borrelli, F. and Morari, M. (2003). Min-max control of constrained uncertain discrete-time linear system,(9): 1600–1606.
- Cao, S.G., Rees, N.W., Feng, G. and Liu, W. (2000).control of nonlinear discrete-time systems based on dynamical fuzzy models,(31): 229–241.
- Cao, Y.Y. and Frank, P.M. (2000). Robustdisturbance attenuation for a class of uncertain discrete-time fuzzy systems,(4): 406–415.
- Chen, B. and Liu, X.P. (2005). Delay-dependent robustcontrol for TCS fuzzy systems with time delay,(4): 544–556.
- Chen, B.-S., Tseng, C.-S. and Uang, H.-J. (2000). Mixed/fuzzy output feedback control design for nonlinear dynamic systems: An LMI approach,(3): 249–265.
- Chen, M.L. and Li, J.M. (2012). Modeling and control of T–S fuzzy hyperbolic model for a class of nonlinear systems,, pp. 57–62.
- Chen, M.L. and Li, J.M. (2015). Non-fragile guaranteed cost control for Takagi–Sugeno fuzzy hyperbolic systems,(9): 1614-1627.
- Datta, R., Bittermann, M.S., Deb, K. and Ciftcioglu, O. (2012). Probabilistic constraint handling in the framework of joint evolutionary-classical optimization with engineering application,, pp. 1–8.
- Du, D.S. (2012). Reliablecontrol for Takagi–Sugeno fuzzy systems with intermittent measurements,(4): 930-941.
- Elliott, D.L. (1999). Bilinear systems,, Wiley, New York, NY.
- Feng, G. (2006). A survey on analysis and design of model-based fuzzy control systems,(5): 676-697.
- Guan, X. and Chen, C. (2004). Delay-dependent guaranteed cost control for T–S fuzzy system with time delays,(2): 236-249.
- Hsiao, M.Y., Liu, C.H., Tsai, S.H., Chen, P.S. and Chen, T.T. (2010). A Takagi–Sugeno fuzzy-model-based modeling method,, pp. 1–6.
- Jadbabaie, A., Jamshidi, M. and Titli, A. (1998). Guaranteed-cost design of continuous-time Takagi–Sugeno fuzzy controllers via linear matrix inequalities,, Vol. 1, pp. 268–273.
- Kim, S.H., Lee, C.H. and Park, P.G. (2008). Relaxed delay-dependent stabilization conditions for discrete-time fuzzy systems with time delays,, pp. 999–1004.
- Li, J.M., Li, J., and Du, C.X. (2009)., Xidian University Press, Xian, pp. 10–13.
- Li, J.R., Li, J.M. and Xia, Z.L. (2011). Delay-dependent generalizedcontrol for discrete T–S fuzzy large-scale stochastic systems with mixed delays,(4): 583–603, DOI: 10.2478/v10006-011-0046-6.
- Li, J.R., Li, J.M. and Xia, Z.L. (2013a). Observer-based fuzzy control design for discrete-time T-S fuzzy bilinear systems,(3): 435–454.
- Li, J.R., Li, J.M. and Xia, Z.L. (2013b). Delay-dependent generalizedfuzzy static-output-feedback control for discrete T–S fuzzy bilinear stochastic systems with mixed delays,(4): 863–880.
- Li, J.M. and Zhang, G. (2012). Non-fragile guaranteed cost control of T–S fuzzy time-varying state and control delays systems with local bilinear models,(2): 43–62.
- Li, T.H.S. and Tsai, S.H. (2007). T–S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems,(3): 494–506.
- Li, T.H.S. and Tsai, S.H. (2008). Robustfuzzy control for a class of uncertain discrete fuzzy bilinear systems,(2): 510–527.
- Li, T.H.S., Tsai, S.H., Lee, J.Z., Hsiao, M.Y. and Chao, C.H. (2008). Robustfuzzy control for a class of uncertain discrete fuzzy bilinear systems,(2): 510–527.
- Margaliot, M. and Langholz, G. (2003). A new approach to fuzzy modeling and control of discrete-time systems,(4): 486–494.
- Mohler, R.R. (1973)., Academic Press, New York, NY.
- Park, Y., Tahk, M.J. and Bang, H. (2004). Design and analysis of optimal controller for fuzzy systems with input constraint(6): 766–779.
- Qi, R.Y., Tao, G., Jiang, B. and Tan, C. (2012). Adaptive control schemes for discrete-time T–S fuzzy systems with unknown parameters and actuator failures,(3): 471–486.
- Qiu, J.B., Feng G. and Yang J. (2009). A new design of delay-dependent robustfiltering for discrete-time T–S fuzzy systems with time-varying delay,(5): 1044-1058.
- Qiu, J.B., Feng G. and Gao H.J. (2010). Fuzzy-model-based piecewisestatic-output-feedback controller design for networked nonlinear systems,(5): 919-934.
- Siavash, F.D. and Alireza, F. (2014). Non-monotonic Lyapunov functions for stability analysis and stabilization of discrete time Takagi–Sugeno fuzzy systems,(4): 1567–1586.
- Su, X.J., Shi P.G., Wu L.G. and Song Y.-D. (2013). A novel control design on discrete-time Takagi–Sugeno fuzzy systems with time-varying delays,(4): 655–671.
- Su, X. J., Shi P., Wu L. and Basin M.V. (2014). Reliable filtering with strict dissipativity for T–S fuzzy time-delay systems,(12): 2470–2483, DOI: 10.1109/TCYB.2014.2308983.
- Takagi, T. and Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control,(1): 116–132.
- Tanaka, K. and Sugeno, M. (1992). Stability analysis and design of fuzzy control systems,(2): 135–156.
- Tanaka, K. and Wang, H.O. (2001)., Wiley, New York, NY.
- Tong, S.C., He, X.L. and Zhang, H.C. (2009). A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control,(5): 1059–1069.
- Tong, S.C., Huo, B.Y. and Li, Y.M. (2014). Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures,(1): 1–15.
- Tong, S.C., Liu, C.L. and Li, Y.M. (2010). Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties,(5): 845–861.
- Tong, S.C. and Li, Y.M. (2012). Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones,(1): 168–180.
- Tong, S., Yang, G. and Zhang, W. (2011). Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays,(4): 617–627, DOI: 10.2478/v10006-011-0048-4.
- Wang, J. (2014). Adaptive fuzzy control of direct-current motor dead-zone systems,(4): 1391–1399.
- Yan, H.C., Zhang, H., Shi, H.B. and Meng, M.Q.-H. (2010).fuzzy filtering for discrete-time fuzzy stochastic systems with time-varying delay,, pp. 59993–59998.
- Zhang, G. and Li, J.M. (2010). Non-fragile guaranteed cost control of discrete-time fuzzy bilinear system,(4): 629–634.
- Zhang, H.G. (2009)., Science Press, Beijing, pp. 121–131.
- Zhang, H.G. and Quan, Y.B. (2001). Modeling, identification and control of a class of nonlinear system,(2): 349-354.
- Zhang, H., Shi, Y., and Mehr, A.S. (2012). On filtering for discrete-time Takagi–Sugeno fuzzy systems,(2): 396–401.
- Zhao, Y., and Gao, H.J. (2012). Fuzzy-model-based control of an overhead crane with input delay and actuator saturation(1): 181–186.
- Zhao, T., Xiao, J., Li, Y. and Li, Y.X. (2013). A fuzzy Lyapunov function approach to stabilization of interval type-2 T–S fuzzy systems,, pp. 2234-2238.
Language: English
Page range: 133 - 145
Submitted on: Jun 23, 2014
Published on: Mar 31, 2016
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
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© 2016 Ruirui Duan, Junmin Li, Yanni Zhang, Ying Yang, Guopei Chen, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.