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research-article

Command‐filter‐based fast finite‐time composite adaptive neural control for nonlinear systems with input dead‐zone

Published: 02 July 2023 Publication History

Summary

In this paper, a command‐filter‐based fast finite‐time composite adaptive control scheme is proposed for nonlinear systems with input dead‐zone. The neural networks (NNs) are used to approximate the unknown functions of the controlled systems. The series‐parallel nonsmooth estimation models are used to predict the errors. In addition, the tracking error and prediction errors are anastomosed to update the weights of the NNs. To solve the problem of “explosion of complexity,” the command‐filter technology is adopted. Combining the Lyapunov stability theory and the adaptive backstepping algorithm, a composite adaptive backstepping control scheme is proposed. The proposed scheme dissolves the singularity problem which may emerge in the design process and the neural networks approximation performances can be realized as well. Meanwhile, the proposed scheme guarantees the tracking error converges into a small neighborhood of zero in fast finite‐time and the boundedness of all the closed‐loop signals. Finally, the simulation example is provided to verify the effectiveness of the proposed scheme.

References

[1]
Kanellakopoulos I, Kokotovic PV, Morse AS. Systematic design of adaptive controllers for feedback linearizable systems. IEEE Trans Automat Control. 1991;36:1241‐1253.
[2]
Lai GY, Liu Z, Zhang Y, Chen CLP, Xie SL. Adaptive backstepping‐based tracking control of a class of uncertain switched nonlinear systems. Automatica. 2018;91:301‐310.
[3]
He W, Tang XY, Wang TT, Liu ZJ. Trajectory tracking control for a three‐dimensional flexible wing. IEEE Trans Cotnrol Syst Technol. 2022;30(5):2243‐2250.
[4]
Han ZJ, Liu ZJ, Kang W, He W. Boundary feedback control of a nonhomogeneous wind turbine tower with exogenous disturbances. IEEE Trans Automat Control. 2022;67(4):1952‐1959.
[5]
Huang HF, He W, Fu Q, He XY, Sun CY. Adaptive a bio‐inspired flapping‐wing robot with cambered wings and its application in autonomous airdrop. IEEE/CAA J Automat Sin. 2022;9(12):2138‐2150.
[6]
Zong GD, Yang D, Lam J, Song XQ. Fault‐tolerant control of switched LPV systems: a bumpless transfer approach. IEEE Trans Mechatron. 2022;27(3):1436‐1446.
[7]
Zhou J, Wen CY, Wang W. Adaptive control of uncertain nonlinear systems with quantized input signal. Automatica. 2018;95:152‐162.
[8]
Zhou J, Wen CY, Zhang Y. Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash‐like hysteresis. IEEE Trans Automat Control. 2004;49(10):1751‐1756.
[9]
Yu G, Cabecinhas D, Cunha R, Silvestreet C. Nonlinear backstepping control of a quadrotor‐slung load system. IEEE/ASME Trans Mechatron. 2019;24(5):2304‐2315.
[10]
Wei YH, Chen YQ, Liang S, Wang Y. A novel algorithm on adaptive backstepping control of fractional order systems. Neurocomputing. 2015;165:395‐402.
[11]
Swaroop D, Hedrick JK, Yip PP, Gerdes JC. Dynamic surface control for a class of nonlinear systems. IEEE Trans Automat Control. 2000;45(10):1893‐1899.
[12]
Dong WJ, Farrell JA, Polycarpou MM, Djapic V, Sharma M. Command filtered adaptive backstepping. IEEE Trans Control Syst Technol. 2011;20(3):566‐580.
[13]
Pan YP, Wang HM, Li X, Yu HY. Adaptive command‐filtered backstepping control of robot arms with compliant actuators. IEEE Trans Control Syst Technol. 2018;26(3):1149‐1156.
[14]
Li YX. Command filter adaptive asymptotic tracking of uncertain nonlinear systems with time‐varying parameters and disturbances. IEEE Trans Automat Control. 2022;67(6):2973‐2980.
[15]
Wang LX, Mendel JM. Fuzzy basis functions, universal approximation, and orthogonal least‐squares learning. IEEE Trans Neural Netw. 1992;3(5):807‐814.
[16]
Li YM, Tong SC. Command‐filtered‐based fuzzy adaptive control design for MIMO‐switched nonstrict‐feedback nonlinear systems. IEEE Trans Fuzzy Syst. 2017;25(3):668‐681.
[17]
Polycarpou MM. Stable adaptive neural control scheme for nonlinear systems. IEEE Trans Automat Control. 1996;41(3):447‐451.
[18]
Zhang T, Ge SS, Hang CC. Adaptive neural network control for strict‐feedback nonlinear systems using backstepping design. Automatica. 2000;36(12):1835‐1846.
[19]
Liu W, Ma Q, Lu JW, Xu SY, Zhang ZQ. A neural composite dynamic surface control for pure‐feedback systems with unknown control gain signs and full state constraints. Int J Robust Nonlinear Control. 2019;29(16):5720‐5743.
[20]
Zhou J, Wen C, Zhang Y. Adaptive output control of nonlinear systems with uncertain dead‐zone nonlinearity. IEEE Trans Automat Control. 2006;51(3):504‐511.
[21]
Chen B, Liu XP, Liu KF, Lin C. Fuzzy approximation‐based adaptive control of nonlinear delayed systems with unknown dead zone. IEEE Trans Fuzzy Syst. 2014;22(2):237‐248.
[22]
Wang XS, Su CY, Hong H. Robust adaptive control of a class of nonlinear systems with unknown dead‐zone. Automatica. 2004;40(3):407‐413.
[23]
Weiss L, Infante EF. Finite time stability under perturbing forces and on product spaces. IEEE Trans Automat Control. 1967;12(1):54‐59.
[24]
Van M, Ge SZS, Ren HL. Finite time fault tolerant control for robot manipulators using time delay estimation and continuous nonsingular fast terminal sliding mode control. IEEE Trans Cybern. 2017;47(7):1681‐1693.
[25]
Li HY, Zhao SY, He W, Lu RQ. Adaptive finite‐time tracking control of full state constrained nonlinear systems with dead‐zone. Automatica. 2019;100:99‐107.
[26]
Guo JG, Li YF, Zhou J. A new continuous adaptive finite time guidance law against highly maneuvering targets. Aerospace Sci Technol. 2019;85:40‐47.
[27]
Qi WH, Hou YK, Zong GD, Ahn CK. Finite‐time event‐triggered control for semi‐Markovian switching cyber‐physical systems with FDI attacks and applications. IEEE Trans Circuits Syst I Regul Papers. 2021;68(6):2665‐2674.
[28]
Qi WH, Zhang C, Zong GD, Su SF, Chadli M. Finite‐time event‐triggered stabilization for discrete‐time fuzzy Markov jump singularly perturbed systems. IEEE Trans Cybern. 2022.
[29]
Wang XJ, Niu B, Wang HQ, Zhao XD, Chen WD. Prescribed performance based finite‐time consensus technology of nonlinear multi‐agent systems and application to FDPs. IEEE Trans Circuits Syst II Exp Briefs. 2023;70(2):591‐595.
[30]
Wang HQ, Xu K, Zhang HG. Adaptive finite‐time tracking control of nonlinear systems with dynamics uncertainties. IEEE Trans Automat Control. 2022.
[31]
Qi WH, Zong GD, Ahn CK. Input‐output finite‐time asynchronous SMC for nonlinear semi‐Markov switching systems with application. IEEE Trans Syst Man Cyber Syst. 2021;52(8):5344‐5353.
[32]
Ding J, Zhang W. Finite‐time adaptive control for nonlinear systems with uncertain parameters based on the command filters. Int J Adapt Control Signal Process. 2021;35(9):1754‐1767.
[33]
Sun ZY, Yun MM, Li T. A new approach to fast global finite‐time stabilization of high‐order nonlinear system. Automatica. 2017;81:455‐463.
[34]
Sun ZY, Shao Y, Chen CC. Fast finite‐time stability and its application in adaptive control of high‐order nonlinear system. Automatica. 2019;106:339‐348.
[35]
Liu JD, Niu B, Zhao P, Li XD, Qi WH. Almost fast finite‐time adaptive tracking control for a class of full‐state constrained pure‐feedback nonlinear systems. Int J Robust Nonlinear Control. 2020;30(17):7517‐7532.
[36]
Wang SB, Yu HS, Yu JP, Na J, Ren XM. Neural‐network‐based adaptive funnel control for servo mechanisms with unknown dead‐zone. IEEE Trans Cybern. 2020;50(4):1383‐1394.
[37]
Xu K, Wang HQ, Zhang Q, Chen M, Qiao JF, Niu B. Command‐filter‐based adaptive neural tracking control for strict‐feedback stochastic nonlinear systems with input dead‐zone. Int J Syst Sci. 2021;52(11):2283‐2297.
[38]
Zheng XL, Yang XB. Command filter and universal approximator based backstepping control design for strict‐feedback nonlinear systems with uncertainty. IEEE Trans Automat Control. 2020;65(3):1310‐1317.
[39]
Wang HQ, Xu K, Liu PXP, Qiao JF. Adaptive fuzzy fast finite‐time dynamic surface tracking control for nonlinear systems. IEEE Trans Circuits Syst I Regul Papers. 2021;68(10):4337‐4348.
[40]
Bai W, Liu PXP, Wang HQ. Neural‐network‐based adaptive fixed‐time control for nonlinear multiagent non‐affine systems. IEEE Trans Neural Netw Learn Syst. 2022.
[41]
Ma JW, Wang HQ, Qiao JF. Adaptive neural fixed‐time tracking control for high‐order nonlinear systems. IEEE Trans Neural Netw Learn Syst. 2022.
[42]
Zhang TL, Bai R, Li YM. Practically predefined‐time adaptive fuzzy quantized control for nonlinear stochastic systems with actuator dead zone. IEEE Trans Fuzzy Syst. 2022.
[43]
Wang X, Niu B, Zhao P, Song X. Neural networks‐based adaptive finite‐time prescribed performance fault‐tolerant control of switched nonlinear systems. Int J Adapt Control Signal Process. 2021;35(4):532‐548.
[44]
Wei W, Zhang WH. Command‐filter‐based adaptive fuzzy finite‐time output feedback control for state‐constrained nonlinear systems with input saturation. IEEE Trans Fuzzy Syst. 2021;30(10):4044‐4056.
[45]
Zong GD, Xu Q, Zhao XD, Su SF, Song LM. Output feedback adaptive neural network control for uncertain nonsmooth nonlinear systems with input deadzone and saturation. IEEE Trans Cybern. 2022.
[46]
Wang F, You ZY, Liu Z, Chen CLP. A fast finite‐time neural network control of stochastic nonlinear systems. IEEE Trans Neural Netw Learn Syst. 2022.
[47]
Wang F, Chen B, Liu XP, Lin C. Finite‐time adaptive fuzzy tracking control design for nonlinear systems. IEEE Trans Fuzzy Syst. 2018;26(3):1207‐1216.
[48]
Chen M, Wang HQ, Liu XP. Adaptive fuzzy practical fixed‐time tracking control of nonlinear systems. IEEE Trans Fuzzy Syst. 2021;29(3):664‐673.
[49]
Sun JL, He HB, Yi JQ, Pu ZQ. Finite‐time command‐filtered composite adaptive neural control of uncertain nonlinear systems. IEEE Trans Cybern. 2022;52(7):6809‐6821.
[50]
Wu ZW, Zhang TP, Xia XN, Yang Y. Finite‐time adaptive neural command filtered control for pure‐feedback time‐varying constrained nonlinear systems with actuator faults. Neurocomputing. 2022;490:193‐205.
[51]
Zhu XF, Ding WW, Zhang TP. Command filter‐based adaptive prescribed performance tracking control for uncertain pure‐feedback nonlinear systems with full‐state time‐varying constraints. Int J Robust Nonlinear Control. 2021;31(11):5312‐5329.
[52]
Yu JP, Shi P, Dong WJ, Yu HS. Observer and command‐filter‐based adaptive fuzzy output feedback control of uncertain nonlinear systems. IEEE Trans Ind Electron. 2015;62(9):5962‐5970.

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Information & Contributors

Information

Published In

cover image International Journal of Adaptive Control and Signal Processing
International Journal of Adaptive Control and Signal Processing  Volume 37, Issue 7
July 2023
374 pages
ISSN:0890-6327
EISSN:1099-1115
DOI:10.1002/acs.v37.7
Issue’s Table of Contents

Publisher

John Wiley & Sons, Inc.

United States

Publication History

Published: 02 July 2023

Author Tags

  1. adaptive neural control
  2. backstepping
  3. command‐filter
  4. dead‐zone
  5. fast finite‐time

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