Adaptive Mean-Nonovershooting Control for Uncertain Nonlinear Systems
Abstract
control (NOTC) algorithm is designed for n-order nonlinear uncertain systems based on adaptive dynamic surface control (DSC) and backstepping. This algorithm addresses the "explosion of terms" problem in traditional backstepping by coordinate transformations and low-order
filters, and overcomes the overshoot tendency in adaptive dynamic surface control by incorporating adaptive mechanisms to handle unknown
parameters. Theoretically, all signals of the closed-loop system are semi-globally uniformly ultimately bounded. Meanwhile, the overshoot
can be arbitrarily reduced by adjusting control parameters. Finally, the algorithm is applied to a class of nonlinear systems with unknown parameters. Simulation results show that the tracking error achieves almost no overshoot with rapid convergence in approximately 0.1s, validating its effectiveness.
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[1] S Darbha, S P Bhattacharyya, On the synthesis of con-trollers for a nonovershooting step response[J], IEEE Transactions on Automatic
Control, 2003, 48 (5): 797-799.
[2] M Bement, S Jayasuriysa, Construction of a set of non-overshooting tracking controllers[J], Journal of Dynamic Systems Measurement
and Control, 2004, 126 (3): 558-567.
[3] M Bement, S Jayasuriysa, Use of state feedback to achieve a nonovershooting step response for a class of non-minimum phase
systems[J], Journal of Dynamic Systems Measurement and Control, 2004, 126 (3): 657-660.
[4] S K Lin, Fang Changjia, Nonovershooting and monotone nondecreasing step responses of a third-order SISO linear system[J], IEEE
Transactions on Automatic Control, 1997, 42 (9): 1299-1303.
[5] S Darbha, On the synthesis of controllers for continuous time LTI systems that achieve a non-negative impulse response[J], Automatica,
2003, 39: 159-165.
[6] M Krstic, M Bement, Nonovershooting control of strict-feedback nonlinear systems[J], IEEE Transactions on Automatic Control, 2006,
51 (12): 1938-1943.
[7] Chen Xiaoping, Xu Hongbing, Non-overshooting control for a class of nonlinear systems[J], Control and Decision, 2013, 28 (4): 627-
631.
[8] Zhu Bo, Zhao Chunchun, Non-overshooting output tracking of feedback linearisable nonlinear systems[J], International Journal of Control, 2013, 86 (5): 821-832.
[9] Li Wuquan, M Krstic, Mean-nonovershooting control of stochastic nonlinear systems[J], IEEE Transactions on Automatic Control,
2021, 66 (12): 6756-6771.
[10] Song Lei, Tong Shaocheng, Finite-time mean-nonovershooting control for stochastic nonlinear systems[J], International Journal of Systems Science, 2022, DOI: 10.1080/ 00207721.2022.2158447..
[11] Li Wuquan, M Krstic, Prescribed-timeMean-nonovershooting Control Under Finite-time Vanishing Noise[J], SIAM Journal on Control
and Optimization, 2023, 61 (3): 1187-1212.
[12] D Swaroop, J K Hedrick, P P Yip, et al, Dynamic surface control for a class of nonlinear systems[J], IEEE Trans actions on Automatic
Control, 2000, 45: 1893-1899.
[13] Liu Yonghua, Adaptive tracking control for a class of uncertain pure-feedback systems[J], International Journal of Robust and Nonlinear
Control, 2016, 26 (5): 1143-1154.
[14] Z Ding, Nonlinear and adaptive control systems[C], The Institution of Engineering and Technology, London, United Kingdom, 2016:
159-167.
DOI: http://dx.doi.org/10.70711/neet.v3i11.8118
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