Proportional plus derivative state feedback controller design for a class of fuzzy descriptor systems

References

• Ali, M., Usha, M., Cao, J., & Lu, G. (2019). Synchronisation analysis for stochastic T–S fuzzy complex networks with coupling delay. International Journal of Systems Science, 50(3), 585–598.
   Web of Science ®Google Scholar
• Cervantes, J., Yu, W., Salazar, S., & Chairez, I. (2017). Takagi–Sugeno dynamic neuro-fuzzy controller of uncertain nonlinear systems. IEEE Transactions on Fuzzy Systems, 25(6), 1601–1615.
   Web of Science ®Google Scholar
• Chayaopas, N., & Assawinchaichote, W. (2018). A novel approach to robust H∞ integral control for TS fuzzy systems. Computational and Applied Mathematics, 37(2), 954–977.
   Web of Science ®Google Scholar
• Dai, L. (1989). Singular control systems. Berlin: Springer-Verlag.
   Google Scholar
• Dang, Q., Vermeiren, L., Dequidt, A., & Dambrine, M. (2015). Design of stabilizing controller for uncertain nonlinear systems under input saturation. American Control Conference, Chicago, IL, USA (pp. 5974–5979).
   Google Scholar
• Dang, Q., Vermeiren, L., Dequidt, A., & Dambrine, M. (2017). Robust stabilizing controller design for Takagi–Sugeno fuzzy descriptor systems under state constraints and actuator saturation. Fuzzy Sets & Systems, 329(15), 77–90.
   Web of Science ®Google Scholar
• Gonzalez, A., Estrada-Manzo, V., & Guerra, T. M. (2017). Gain-scheduled H∞ admissibilisation of LPV discrete-time systems with LPV singular descriptor. International Journal of Systems Science, 48(15), 1693–1697.
   Web of Science ®Google Scholar
• Guerra, T. M., Estrada-Manzo, V., & Lendek, Z. (2015). Observer design for Takagi–Sugeno descriptor models: An LMI approach. Automatica, 52, 154–159.
   Web of Science ®Google Scholar
• Haiek, B. E., Zoulagh, T., Hmamed, A., & EL Adel, E. (2017). Polynomial static output feedback H∞ control for continuous-time linear systems via descriptor approach. International Journal of Innovative Computing, Information & Control, 13(3), 941–952.
   Web of Science ®Google Scholar
• Han, C., Wu, L., Lam, H., & Zeng, Q. (2014). Nonfragile control with guaranteed cost of T–S fuzzy singular systems based on parallel distributed compensation. IEEE Transactions on Fuzzy Systems, 22(5), 1183–1196.
   Web of Science ®Google Scholar
• Hien, V., Vu, H., & Trinh, H. (2018). Stability of two-dimensional descriptor systems with generalized directional delays. Systems & Control Letters, 112, 42–50.
   Web of Science ®Google Scholar
• Huang, C. (2013). Stability analysis and controller synthesis for fuzzy descriptor systems. International Journal of Systems Science, 44(1), 23–33.
   Web of Science ®Google Scholar
• Lendek, Z., Nagy, Z., & Lauber, J. (2018). Local stabilization of discrete-time T–S descriptor systems. Engineering Applications of Artificial Intelligence, 67, 409–418.
   Web of Science ®Google Scholar
• Li, S., Xiang, Z., & Guo, J. (2018). Stabilisation for positive switched T–S fuzzy delayed systems under standard L1 and L∞ performance. International Journal of Systems Science, 49(6), 1226–1241.
   Web of Science ®Google Scholar
• Li, J., Zhang, Q., Ren, J., & Zhang, Y. (2017). Robust decentralised stabilisation of uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative feedback. International Journal of Systems Science, 48(14), 2997–3006.
   Web of Science ®Google Scholar
• Li, J., Zhang, Q., Yan, X., & Spurgeon, S. K. (2018). Observer-based fuzzy integral sliding mode control for nonlinear descriptor systems. IEEE Transactions on Fuzzy Systems, 26(5), 2818–2831.
   Web of Science ®Google Scholar
• Lin, C., Wang, Q., & Lee, T. (2006). Stability and stabilization of a class of fuzzy time-delay descriptor systems. IEEE Transactions on Fuzzy Systems, 14(4), 542–551.
   Web of Science ®Google Scholar
• Lin, C., Wang, Q., & Tong, H. (2005). Robust normalization and stabilization of uncertain descriptor systems with norm-bounded perturbations. IEEE Transactions on Automatic Control, 50(4), 515–520.
   Web of Science ®Google Scholar
• Liu, P., Yang, W., & Yang, C. (2013). Robust observer-based output feedback control for fuzzy descriptor systems. Expert Systems with Applications, 40(11), 4503–4510.
   Web of Science ®Google Scholar
• Nasiri, A., Nguang, S., Swain, A., & Almakhles, D. (2018). Stabilisation of discrete-time polynomial fuzzy systems via a polynomial Lyapunov approach. International Journal of Systems Science, 49(3), 557–566.
   Web of Science ®Google Scholar
• Qiao, L., Zhang, Q., & Zhang, G. (2017). Admissibility analysis and control synthesis for T–S fuzzy descriptor systems. IEEE Transactions on Fuzzy Systems, 25(4), 729–740.
   Web of Science ®Google Scholar
• Ren, J., & Zhang, Q. (2015). Simultaneous robust normalization and delay-dependent robust H∞ stabilization for singular time-delay systems with uncertainties in the derivative matrices. International Journal of Robust and Nonlinear Control, 25(18), 3528–3545.
   Web of Science ®Google Scholar
• Sahereh, B., Aliakbar, J., & Ali, K. (2017). H∞ filtering for descriptor systems with strict LMI conditions. Automatica, 80, 88–94.
   Web of Science ®Google Scholar
• Su, Z., Ai, J., Zhang, Q., & Xiong, N. (2017). An improved robust finite-time dissipative control for uncertain fuzzy descriptor systems with disturbance. International Journal of Systems Science, 48(8), 1581–1596.
   Web of Science ®Google Scholar
• Su, X., Shi, P., Wu, I., & Song, Y. (2013). A novel control design on discrete-time Takagi–Sugeno fuzzy systems with time-varying delays. IEEE Transactions on Fuzzy Systems, 21(4), 655–671.
   Web of Science ®Google Scholar
• Su, H., Zhang, H., Gao, W., & Luo, Y. (2019). Adaptive dynamics programming for H∞ control of continuous-time unknown nonlinear systems via generalized fuzzy hyperbolic models. IEEE Transactions on Systems, Man, and Cybernetics: Systems. doi:10.1109/TSMC.2019.2900750
   Web of Science ®Google Scholar
• Takagi, T., & Sugeno, M. (1985). Fuzzy identification of systems and its application to modeling and control. IEEE Transactions on Systems, Man and Cybernetics, 15(1), 116–132.
   Web of Science ®Google Scholar
• Taniguch, T., Tanaka, K., & Wang, H. O. (2000). Fuzzy descriptor systems and nonlinear model following control. IEEE Transactions on Fuzzy Systems, 8(4), 442–452.
   Web of Science ®Google Scholar
• Utkin, V., Guldner, J., & Shi, J. (2009). Sliding mode control in electro-mechanical systems (2nd ed.). London: CRC Press.
   Google Scholar
• Wang, J., Ma, S., Zhang, C., & Fu, M. (2019). H∞ state estimation via asynchronous filtering for descriptor Markov jump systems with packet losses. Signal Processing, 154, 159–167.
   Web of Science ®Google Scholar
• Xu, S., Song, B., Lu, J., & James, L. (2007). Robust stability of uncertain discrete-time singular fuzzy systems. Fuzzy Sets & Systems, 158(20), 2306–2316.
   Web of Science ®Google Scholar
• Zhang, H., Su, H., Zhang, K., & Luo, Y. (2019). Event-triggered adaptive dynamic programming algorithm for non-zero-sum games of unknown nonlinear systems via generalized fuzzy hyperbolic models. IEEE Transactions on Fuzzy Systems. doi:10.1109/TFUZZ.2019.2896544
   Web of Science ®Google Scholar
• Zhuang, G., Xia, J., Zhang, B., & Sun, W. (2018). Robust normalisation and P–D state feedback control for uncertain singular Markovian jump systems with time-varying delays. IET Control Theory & Applications, 12(3), 419–427.
   Web of Science ®Google Scholar