×

Adaptive event-triggered neural control for nonlinear uncertain system with input constraint. (English) Zbl 1466.93086

Summary: In this article, the issue of developing an adaptive event-triggered neural control for nonlinear uncertain system with input delay is investigated. The radial basis function neural networks (RBFNNs) are adopted to approximate the uncertain terms, where the time-varying approximation errors are considered into the approximation system. However, the RBFNNs’ weight vector is extended, which may cause the computing burdens. To save network resource, the computing burden caused by the weight vector is handled with the developed adaptive control strategy. Furthermore, in order to compensate the effect of input delay, an auxiliary system is introduced into codesign. With the help of adaptive backstepping technique, an adaptive event-triggered control approach is established. Under the proposed control approach, the effect of input delay can be compensated effectively while the considered system suffered network resource constraint, and all signals in the close-loop system can be guarantee bounded. Finally, two simulation examples are given to verify the proposed control method’s effectiveness.

MSC:

93C40 Adaptive control/observation systems
93C65 Discrete event control/observation systems
93C41 Control/observation systems with incomplete information
93C10 Nonlinear systems in control theory
93C43 Delay control/observation systems
Full Text: DOI

References:

[1] HespanhaJP, NaghshtabriziP, XuY. A survey of recent results in networked control systems. Proc IEEE. 2007;95(1):138‐162.
[2] LaHM, ShengW. Distributed sensor fusion for scalar field mapping using mobile sensor networks. IEEE Trans Syst Man Cybern. 2013;43(2):766‐778.
[3] MaJ, XuS, LiY, ChuY, ZhangZ. Neural networks‐based adaptive output feedback control for a class of uncertain nonlinear systems with input delay and disturbances. J Franklin Inst. 2018;355(13):5503‐5519. · Zbl 1451.93197
[4] GuptaRA, ChowMY. Overview of networked control systems. Networked Control Systems. London, UK: Springer; 1970.
[5] TabuadaP. Event‐triggered real‐time scheduling of stabilizing control tasks. IEEE Trans Automat Control. 2007;52(9):1680‐1685. · Zbl 1366.90104
[6] LianFL, MoyneJR, TilburyDM. Performance evaluation of control networks: ethernet, controlnet, and devicenet. IEEE Control Syst. 2001;21(1):66‐83.
[7] SuXH, ZhiL, LaiG. Event‐triggered robust adaptive control for uncertain nonlinear systems preceded by actuator dead‐zone. Nonlinear Dyn. 2018;93(2):219‐231. · Zbl 1398.93168
[8] PostoyanR, TabuadaP, NešićD, AntaA. A framework for the event‐triggered stabilization of nonlinear systems. IEEE Trans Automat Control. 2015;60(4):982‐996. · Zbl 1360.93567
[9] AdaldoA, AlderisioF, LiuzzaD, ShiG, JohanssonKH. Event‐triggered pinning control of switching networks. IEEE Trans Control Netw Syst. 2015;2(2):204‐213. · Zbl 1370.93143
[10] GirardA. Dynamic triggering mechanisms for event‐triggered control. IEEE Trans Automat Control. 2015;60(7):1992‐1997. · Zbl 1360.93423
[11] LiuT, JiangZP. A small‐gain approach to robust event‐triggered control of nonlinear systems. IEEE Trans Automat Control. 2015;60(8):2072‐2085. · Zbl 1360.93297
[12] ChengJ, ParkJH, ZhangL, ZhuY. An asynchronous operation approach to event‐triggered control for fuzzy Markovian jump systems with general switching policies. IEEE Trans Fuzzy Syst. 2016;26(1):6‐18.
[13] WangD, HaM, QiaoJ. Self‐learning optimal regulation for discrete‐time nonlinear systems under event‐driven formulation. IEEE Trans Automat Control. 2019. https://doi.org/10.1109/tac.2019.2926167. · doi:10.1109/tac.2019.2926167
[14] DimarogonasDV, FrazzoliE, JohanssonKH. Distributed event‐triggered control for multi‐agent systems. IEEE Trans Automat Control. 2012;57(5):1291‐1297. · Zbl 1369.93019
[15] WangD, LiuDR. Learning and guaranteed cost control with event‐based adaptive critic implementation. IEEE Trans Neural Netw Learn Syst. 2018;29(12):6004‐6014.
[16] DonkersMCF, HeemelsWPMH. Output‐based event‐triggered control with guaranteed‐gain and improved and decentralized event‐triggering. IEEE Trans Automat Control. 2012;57(6):1362‐1376. · Zbl 1369.93362
[17] XingLT, WenCY, LiuZT, CaiJP. Event‐triggered adaptive control for a class of uncertain nonlinear systems. IEEE Trans Automat Control. 2017;62(4):2071‐2076. · Zbl 1366.93305
[18] SahooA, XuH, JagannathanS. Neural network‐based event‐triggered state feedback control of nonlinear continuous‐time systems. IEEE Trans Neural Netw Learn Syst. 2016;27(3):497‐509.
[19] WangJH, LiuZ, ZhangY, ChenCLP. Neural adaptive event‐triggered control for nonlinear uncertain stochastic systems with unknown hysteresis. IEEE Trans Neural Netw Learn Syst. 2019;30(11):3300‐3311.
[20] SahooA, XuH, JagannathanS. Event‐based neural network approximation and control of uncertain nonlinear continuous‐time systems. Am Control Conf. 2015;25(4):1567‐1572.
[21] Z.Liu, J. H.Wang, C. L. P.Chen, Y.Zhang, Event trigger fuzzy adaptive compensation control of uncertain stochastic nonlinear systems with actuator failures, IEEE Trans Fuzzy Syst26 (6) (2018) 3770-3781.
[22] LiYX, YangGH. Event‐based adaptive nn tracking control of nonlinear discrete‐time systems. IEEE Trans Neural Netw Learn Syst. 2018;29(9):4359‐4369.
[23] WangRL, ChenC. Robust adaptive neural control for a class of stochastic nonlinear systems. Neurocomputing. 2016;46(11):1934‐1943. · Zbl 1332.93182
[24] WangJH, LiuZ, ChenCLP, ZhangY. Event‐triggered fuzzy adaptive compensation control for uncertain stochastic nonlinear systems with given transient specification and actuator failures. Fuzzy Sets Syst. 2018;365(15):1‐21. · Zbl 1423.93212
[25] LiYX, YangGH. Observer‐based fuzzy adaptive event‐triggered control codesign for a class of uncertain nonlinear systems. IEEE Trans Fuzzy Syst. 2018;26(3):1589‐1599.
[26] ZhangCL, ChenZC, WangJH, LiuZ, ChenCLP. Fuzzy adaptive two‐bit‐triggered control for a class of uncertain nonlinear systems with actuator failures and dead‐zone constraint. IEEE Trans Cybern. 2020. https://doi.org/10.1109/TCYB.2020.2970736. · doi:10.1109/TCYB.2020.2970736
[27] KrsticM. Lyapunov stability of linear predictor feedback for time‐varying input delay. IEEE Trans Automat Control. 2010;55(2):554‐559. · Zbl 1368.93547
[28] BasturkHI, KrsticM. Adaptive sinusoidal disturbance cancellation for unknown lti systems despite input delay. Am Control Conf. 2015;58(2015):5300‐5305.
[29] ZhuQ, ZhangT, YangY. New results on adaptive neural control of a class of nonlinear systems with uncertain input delay. Neurocomputing. 2012;83:22‐30.
[30] YueH, LiJ. Output‐feedback adaptive fuzzy control for a class of nonlinear systems with input delay and unknown control directions. J Franklin Inst. 2013;350(1):129‐154. · Zbl 1282.93166
[31] LiuZ, LaiG, ZhangY, ChenX, ChenCLP. Adaptive neural control for a class of nonlinear time‐varying delay systems with unknown hysteresis. IEEE Trans Neural Netw Learn Syst. 2017;25(12):2129‐2140.
[32] LeeCH, ChengHT. Identification and fuzzy controller design for nonlinear uncertain systems with input time‐delay. Int J Fuzzy Syst. 2009;11(2):9‐14.
[33] WangN, TongS, LiY. Observer‐based adaptive fuzzy dynamic surface control of non‐linear non‐strict feedback system. IET Control Theory Appl. 2017;11(17):3115‐3121.
[34] ShiC, LiuZ, DongX, ChenY. A novel error‐compensation control for a class of high‐order nonlinear systems with input delay. IEEE Trans Neural Netw Learn Syst. 2017;29(9):4077‐4087.
[35] Bekiaris‐LiberisN, KrsticM. Compensation of time‐varying input and state delays for nonlinear systems. J Dyn Syst Measur Control. 2011;134(1):9‐14.
[36] KamalapurkarR, FischerN, ObuzS, DixonWE. Time‐varying input and state delay compensation for uncertain nonlinear systems. IEEE Trans Automat Control. 2016;61(3):834‐839. · Zbl 1359.93415
[37] RenB, SanPP, GeSS, LeeTH. Adaptive dynamic surface control for a class of strict‐feedback nonlinear systems with unknown backlash‐like hysteresis. Am Control Conf. 2009;12(2009):4482‐4487.
[38] WangJH, LiuZ, ZhangY, ChenCLP, LaiG. Adaptive neural control of a class of stochastic nonlinear uncertain systems with guaranteed transient performance. IEEE Trans Cybern. 2019. https://doi.org/10.1109/TCYB.2019.2891265. · doi:10.1109/TCYB.2019.2891265
[39] ParkJ, SandbergLW. Universal approximation using radialbasis‐function networks. Neural Comput. 1991;3(2):246‐257.
[40] SannerRM, SlotineJE. Gaussian networks for direct adaptive control. IEEE Trans Neural Netw. 1992;3(6):837‐863.
[41] GaoY, SunX, WenC, WangW. Observer‐based adaptive nn control for a class of uncertain nonlinear systems with nonsymmetric input saturation. IEEE Trans Neural Netw Learn Syst. 2017;28(7):1520‐1530.
[42] GaoY, SunX, WenC, WangW. Adaptive tracking control for a class of stochastic uncertain nonlinear systems with input saturation. IEEE Trans Automat Control. 2017;62(5):2498‐2504. · Zbl 1366.93715
[43] ZhouJ, WenC, ZhangY. Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash‐like hysteresis. IEEE Trans Automat Control. 2004;49(10):1751‐1757. · Zbl 1365.93251
[44] JohanssonKH, EgerstedtM, LygerosJ, SastryS. On the regularization of zeno hybrid automata. Syst Control Lett. 1999;38(3):141‐150. · Zbl 0948.93031
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.