×

Filter-based neural control for switched uncertain nonlinear systems with incomplete measurements. (English) Zbl 1537.93749

Summary: The problem which is concerned with filter-based neural control for switched uncertain nonlinear systems with incomplete measurement is studied in this paper. Filters are used to estimate unknown states, while neural networks approximate unknown functions. Data loss, saturation and other problems often occur during data transmission. An appropriate control law is designed by a backstepping method to solve this problem. Through using the average dwell time, it is proved that the switching system tends to be stable in a certain time. The analysis of probabilistic stability is also carried out to ensure that the system can achieve uniformly ultimately boundedness. Finally, the effectiveness of the previous design is proved by simulation.

MSC:

93E11 Filtering in stochastic control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C41 Control/observation systems with incomplete information
93C10 Nonlinear systems in control theory
Full Text: DOI

References:

[1] Corona, D., Giua, A., & Seatzu, C. (2014). Stabilization of switched systems via optimal control. Nonlinear Analysis Hybrid Systems, 11, 1-10. · Zbl 1291.93278
[2] Deng, Y., Zhang, X., Zhang, G., & Han, X. (2021). Adaptive neural tracking control of strict-feedback nonlinear systems with event-triggered state measurement. ISA Transactions, 117, 28-39.
[3] Kim, S., Campbell, S. A., & Liu, X. (2006). Stability of a class of linear switching systems with time delay. IEEE Transactions on Circuits and Systems I: Regular Papers, 53(2), 384-393. · Zbl 1374.94950
[4] Li, M., & Xiang, Z. (2019). Adaptive neural network tracking control for a class of switched nonlinear systems with input delay. Neurocomputing, 366(Nov. 13), 284-294.
[5] Liang, X. L., Hou, M. Z., & Duan, G. R. (2013). Output feedback stabilization of switched stochastic nonlinear systems under arbitrary switchings. International Journal of Automation and Computing, 10(6), 571-577.
[6] Liberzon, D. (2003). Switching in system and control. Birkhauser. · Zbl 1036.93001
[7] Liu, X., Wang, L., Wang, H., Zhang, C., & Xue, X. (2020). Observer-based backstepping control for nonlinear cyber-physical systems with incomplete measurements. International Journal of Control, 95(5), 1337-1348. . · Zbl 1492.93071
[8] Long, L., & Zhao, J. (2015). Adaptive output-feedback neural control of switched uncertain nonlinear systems with average dwell time. IEEE Transactions on Neural Networks and Learning Systems, 26(7), 1350-1362. .
[9] Lu, L., & Niu, B. (2016). Adaptive neural network tracking control for switched strict-feedback nonlinear systems with input delay. In Sixth international conference on intelligent control & information processing.
[10] Sanner, D. V. (1992). Gaussian network for direct adaptive control. IEEE Transactions on Neural Networks, 3(6), 837-863.
[11] Wang, Y. C., Zhang, S. X., Cao, L. J., & Hu, X. X. (2016). Adaptive fuzzy backstepping control for nonlinear system with unknown control direction and input saturation. Systems Engineering and Electronics, 38(9), 2149-2155. · Zbl 1374.93225
[12] Wu, J. L. (2009). Stabilizing controllers design for switched nonlinear systems in strict-feedback form. Automatica, 45(4), 1092-1096. · Zbl 1162.93030
[13] Yan, J., Xia, Y., & Wen, C. (2018). Quantized stabilization of switched systems with switching delays and packet loss. Journal of the Franklin Institute, 355(13), 5351-5366. · Zbl 1433.93117
[14] Yi, Z., Liu, X., & Shen, X. (2007). Stability of switched systems with time delay. Nonlinear Analysis: Hybrid Systems, 1(1), 44-58. · Zbl 1126.94021
[15] Yin, Q., Wang, M., Li, X., & Guanghui, S. (2018). Neural network adaptive tracking control for a class of uncertain switched nonlinear systems. Neurocomputing, 301, 1-10.
[16] Zhou, J. (2010). Adaptive backstepping control of uncertain systems. Electronics Optics & Control, 11(4), 1115-1119. · Zbl 1090.93536
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.