×

Robust finite-time control and reachable set estimation for uncertain switched neutral systems with time delays and input constraints. (English) Zbl 1510.93045

Summary: This work focuses on robust finite-time fault-tolerant control and reachable set estimation for uncertain switched neutral systems subject to time delays as well as input constraints. There are few attempts to investigate robust finite-time boundedness and reachable set estimation for uncertain switched neutral systems. At the same time, input-output finite-time stability is also investigated. Compared with the existing studies, this system has wider application. A dynamic output feedback nonlinear controller is researched. An augmented closed-loop system is provided. Moreover, the sufficient conditions of finite-time boundedness, reachable set estimation and input-output finite-time stability for the closed-loop system are obtained in the framework of linear matrix inequalities via piecewise Lyapunov function. Ultimately, two examples are provided to demonstrate this validity of this approach in this paper.

MSC:

93B03 Attainable sets, reachability
93C43 Delay control/observation systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
Full Text: DOI

References:

[1] Ma, R.; Zhang, H.; Zhao, S., Exponential stabilization of switched linear systems subject to actuator saturation with stabilizable and unstabilizable subsystems, J. Franklin Inst. (2020)
[2] Yu, Q.; Lv, H., Stability analysis for discrete-time switched systems with stable and unstable modes based on a weighted average dwell time approach, Nonlinear Anal. Hybrid Syst, 38, 100949 (2020) · Zbl 1478.93483
[3] Li, Y.; Bo, P.; Qi, J., Asynchronous \(H_\infty\) fixed-order filtering for LPV switched delay systems with mode-dependent average dwell time, J. Franklin Inst., 356, 18, 11792-11816 (2019) · Zbl 1427.93246
[4] Zhai, D.; Lu, A.; Dong, J.; Zhang, Q., Adaptive fuzzy tracking control for a class of switched uncertain nonlinear systems: an adaptive state-dependent switching law method, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 48, 12, 2282-2291 (2018)
[5] Chen, Q.; Liu, A., D-Stability and disturbance attenuation properties for networked control systems: switched system approach, J. Syst. Eng. Electron., 27, 5, 1108-1114 (2016)
[6] Ren, Y.; Wang, W.; Wang, Y.; Zhou, W., Exponentially incremental dissipativity for nonlinear stochastic switched systems, Int. J. Control, 93, 5, 1074-1087 (2020) · Zbl 1443.93135
[7] Karabacak, Ö.; Kıvılcım, A.; Wisniewski, R., Almost global stability of nonlinear switched systems with time-dependent switching, IEEE Trans. Automat. Contr., 65, 7, 2969-2978 (2020) · Zbl 1533.93566
[8] Li, S.; Ahn, C. K.; Xiang, Z., Sampled-data adaptive output feedback fuzzy stabilization for switched nonlinear systems with asynchronous switching, IEEE Trans. Fuzzy Syst., 27, 1, 200-205 (2019)
[9] Zhao, Y.; Zhao, J., Event-triggered bumpless transfer control for switched systems with its application to switched RLC circuits, Nonlinear Dyn., 98, 1615-1628 (2019) · Zbl 1430.94115
[10] Chen, M.; Feng, G.; Ma, H.; Chen, G., Delay-dependent \(\text{H}_\infty\) filter design for discrete-time fuzzy systems with time-varying delays, IEEE Trans. Fuzzy Syst., 17, 3, 604-616 (2009)
[11] Li, X.; Li, P., Stability of time-delay systems with impulsive control involving stabilizing delays, Automatica, 109336 (2020) · Zbl 1461.93436
[12] Zhao, Y.; Gao, H.; Lam, J.; Du, B., Stability and stabilization of delayed T-S fuzzy systems: a delay partitioning approach, IEEE Trans. Fuzzy Syst., 17, 4, 750-762 (2009)
[13] Tian, Z.-D.; Gao, X.-W.; Gong, B.-L.; Shi, T., Time-delay compensation method for networked control system based on time-delay prediction and implicit PIGPC, Int. J. Autom. Comput., 12, 648-656 (2015)
[14] He, Y.; Wu, M.; Liu, G.; She, J., Output feedback stabilization for a discrete-time system with a time-varying delay, IEEE Trans. Automat. Contr., 53, 10, 2372-2377 (2008) · Zbl 1367.93507
[15] Hao, L.-Y.; Zhang, H.; Li, H.; Li, T.-S., Sliding mode fault-tolerant control for unmanned marine vehicles with signal quantization and time-delay, Ocean Eng., 215, 107882 (2020)
[16] Li, Z.; Long, L., Global stabilization of switched feedforward nonlinear time-delay systems under asynchronous switching, IEEE Trans. Circuits Syst. I Regul. Pap., 67, 2, 711-724 (2020) · Zbl 1468.93136
[17] Zhao, F.; Chen, X.; Cao, J.; Guo, M.; Qiu, J., Finite-time stochastic input-to-state stability and observer-based controller design for singular nonlinear systems, Nonlinear Analysis: Modelling and Control, 25, 6, 980-996 (2020) · Zbl 1453.93216
[18] Amato, F.; Tartaglione, G.; Ariola, M., New conditions for annular finite-time stability of ito stochastic linear time-varing systems with markov switching, IET Control Theory & Applications, 14, 1 (2019)
[19] Tartaglione, G.; Ariola, M.; Amato, F., Conditions for annular finite-time stability of itô stochastic linear time-varying systems with markov switching, IET Control Theory & Applications, 14, 626-633 (2020) · Zbl 07907133
[20] Balandin, D.; Biryukov, R.; Kogan, M., Optimal control of maximum output deviations of a linear time-varying system on a finite horizon, Autom. Remote Control, 80, 1783-1802 (2019) · Zbl 1440.49024
[21] Amato, F.; Carannante, G.; De Tommasi, G.; Pironti, A., Input-output finite-time stability of linear systems: necessary and sufficient conditions, IEEE Trans. Automat. Contr., 57, 12, 3051-3063 (2012) · Zbl 1369.93556
[22] Zuo, Z.; Ho, D. W.C.; Wang, Y., [brief paper] Reachable set estimation for linear systems in the presence of both discrete and distributed delays, IET Control Theory & Applications, 5, 15, 1808-1812 (2011)
[23] Zhao, J., Reachable set estimation for a class of memristor-based neural networks with time-varying delays, IEEE Access, 6, 937-943 (2018)
[24] Balandin, D.; Biryukov, R.; Kogan, M., Ellipsoidal reachability sets of linear time-varying systems in estimation and control problems, Differential Equations, 55, 1440-1453 (2019) · Zbl 1435.93034
[25] Xiang, W.; Tran, H.; Johnson, T. T., Output reachable set estimation and verification for multilayer neural networks, IEEE Trans. Neural Netw. Learn. Syst., 29, 11, 5777-5783 (2018)
[26] Xu, Z.; Su, H.; Shi, P.; Lu, R.; Wu, Z., Reachable set estimation for markovian jump neural networks with time-varying delays, IEEE Trans. Cybern., 47, 10, 3208-3217 (2017)
[27] Feng, Z.; Zheng, W. X.; Wu, L., Reachable set estimation of T-S fuzzy systems with time-varying delay, IEEE Trans. Fuzzy Syst., 25, 4, 878-891 (2017)
[28] Zhang, H.; Han, J.; Wang, Y.; Liu, X., Sensor fault estimation of switched fuzzy systems with unknown input, IEEE Trans. Fuzzy Syst., 26, 3, 1114-1124 (2018)
[29] Ren, H.; Zong, G.; Li, T., Event-triggered finite-time control for networked switched linear systems with asynchronous switching, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 48, 11, 1874-1884 (2018)
[30] Xiang, Z.; Sun, Y.-N.; Mahmoud, M. S., Robust finite-time \(H_\infty\) control for a class of uncertain switched neutral systems, Commun. Nonlinear Sci. Numer. Simul., 17, 4, 1766-1778 (2012) · Zbl 1239.93036
[31] Zhong, Z.; Wai, R.; Shao, Z.; Xu, M., Reachable set estimation and decentralized controller design for large-scale nonlinear systems with time-varying delay and input constraint, IEEE Trans. Fuzzy Syst., 25, 6, 1629-1643 (2017)
[32] Jin, Y.; Zhang, Y.; Jing, Y.; Fu, J., An average dwell-time method for fault-tolerant control of switched time-delay systems and its application, IEEE Trans. Ind. Electron., 66, 4, 3139-3147 (2019)
[33] Liu, G.; Hua, C.; Guan, X., Asynchronous stabilization of switched neutral systems: a cooperative stabilizing approach, Nonlinear Anal. Hybrid Syst, 33, 380-392 (2019) · Zbl 1429.93294
[34] 20th IFAC World Congress
[35] Wang, T.; Wang, X.; Xiang, W., Reachable set estimation and decentralized control synthesis for a class of large-scale switched systems, ISA Trans., 103, 75-85 (2020)
[36] Jian, H.; Jian, H.; Xiuhua, L.; Xinjiang, W.; Wei, W.; Huifeng, Z.; Zhang; Xin, H., Dissipativity-based fault estimation for switched non-linear systems with process and sensor faults, IET Control Theory & Applications, 18, 2983-2993 (2019)
[37] Huang, S.; He, X.; Zhang, N., New results on \(H_\infty\) filter design for nonlinear systems with time delay via t-s fuzzy models, IEEE Trans. Fuzzy Syst., 19, 1, 193-199 (2011)
[38] Ghadiri, H.; Jahed-Motlagh, M. R.; Barkhordari Yazdi, M., Robust stabilization for uncertain switched neutral systems with interval time-varying mixed delays, Nonlinear Anal. Hybrid Syst, 13, 2-21 (2014) · Zbl 1292.93107
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.