Nothing Special   »   [go: up one dir, main page]

skip to main content
research-article

Adaptive finite-time optimal fuzzy control for novel constrained uncertain nonstrict feedback mixed multiagent systems via modified dynamic surface control

Published: 18 October 2024 Publication History

Abstract

In this article, the finite-time stability is discussed for the novel nonlinear mixed multiagent systems (MASs) with unmodeled dynamics and constraints. Each agent is characterized as a state or output feedback system structured in the nonstrict form. The improved finite-time dynamic surface control (DSC) and the fuzzy actor-critic networks collectively constitute a novel optimal input. The fuzzy logic systems (FLSs) is introduced to approximate the unknown parts in the derivation process. By using the nonlinear transformation rules (NTRs), all the states or output are made to operate strictly within the predefined boundary conditions. The unmodeled dynamics can be solved by the constructed dynamic signals. By the aid of the compensating signals, the filtering errors can be countervailed in the DSC. The stability analysis demonstrates that all the signals are semi-globally practical finite-time stable (SGPFS). The feasibility of this scheme is explained intuitively by two simulations.

References

[1]
Y.M. Sun, B. Chen, C. Lin, H.H. Wang, S.W. Zhou, Adaptive neural control for a class of stochastic nonlinear systems by backstepping approach, Inf. Sci. 369 (2016) 748–764.
[2]
S.W. Liu, H.Q. Wang, T.S. Li, K. Xu, Adaptive neural fixed-time control for uncertain nonlinear systems, IEEE Trans. Circuits Syst. II 71 (2) (2024) 637–641.
[3]
D. Swaroop, J.K. Hedrick, P.P. Yip, J.C. Gerdes, Dynamic surface control for a class of nonlinear systems, IEEE Trans. Autom. Control 45 (10) (2000) 1893–1899.
[4]
W.W. Sun, L.P. Wang, Y. Wu, Adaptive dynamic surface fuzzy control for state constrained time-delay nonlinear nonstrict feedback systems with unknown control directions, IEEE Trans. Syst. Man Cybern. Syst. 51 (12) (2021) 7423–7434.
[5]
S. Sui, H. Xu, S.C. Tong, C.L.P. Chen, Prescribed performance fuzzy adaptive output feedback control for nonlinear MIMO systems in a finite time, IEEE Trans. Fuzzy Syst. 30 (9) (2022) 3633–3644.
[6]
M.R. Liu, L.M. Ma, W.H. Zhang, Control of state constrained nonlinear systems with unknown dead-zone nonlinearity: a unified fuzzy dynamic surface control approach, Inf. Sci. 641 (2023).
[7]
S. Sui, C.L. Philip Chen, S.C. Tong, A novel full errors fixed-time control for constraint nonlinear systems, IEEE Trans. Autom. Control 68 (4) (2023) 2568–2575.
[8]
H.Q. Wang, Z. Meng, J.W. Ma, X.D. Zhao, Adaptive fixed-time dynamic surface tracking control for high-order nonstrict-feedback nonlinear switched systems, Neurocomputing 589 (2024).
[9]
W. Wang, S.C. Tong, Observer-based adaptive fuzzy containment control for multiple uncertain nonlinear systems, IEEE Trans. Fuzzy Syst. 27 (11) (2019) 2079–2089.
[10]
S.Y. Wei, Y.X. Li, Finite-time adaptive neural network command filtered controller design for nonlinear system with time-varying full-state constraints and input quantization, Inf. Sci. 613 (2022) 871–887.
[11]
Q.K. Yu, X.Q. He, L.B. Wu, L.D. Guo, Finite-time command filtered event-triggered adaptive output feedback control for nonlinear systems with unknown dead-zone constraints, Inf. Sci. 617 (2022) 482–497.
[12]
X.L. Wang, J.P. Liu, H.K. Lam, J.P. Yu, Fuzzy-model-based dynamic event-triggered control in sensor-to-controller channel for nonlinear strict-feedback system via command filter, IEEE Trans. Fuzzy Syst. 30 (4) (2023) 2761–2772.
[13]
A. Taghieh, A. Mohammadzadeh, C.W. Zhang, N. Kausar, O. Castillo, A type-3 fuzzy control for current sharing and voltage balancing in microgrids, Appl. Soft Comput. 129 (2022).
[14]
W.K. Xue, B.Z. Zhou, F.H. Chen, H. Taghavifar, A. Mohammadzadeh, E. Ghaderpour, A constrained fuzzy control for robotic systems, IEEE Access 12 (2022) 7298–7309.
[15]
E. Bernal, M.L. Lagunes, O. Castillo, J. Soria, Optimization of type-2 fuzzy logic controller design using the GSO and FA algorithms, Int. J. Fuzzy Syst. 23 (1) (2021) 42–57.
[16]
R. Sakthivel, R. Abinandhitha, S. Harshavarthini, A. Mohammadzadeh, S. Saat, Anti-disturbance observer-based finite-time reliable control design for fuzzy switched systems, Fuzzy Sets Syst. 471 (2023).
[17]
B.Y. Liang, S.Q. Zheng, C.K. Ahn, F. Liu, Adaptive fuzzy control for fractional-order interconnected systems with unknown control directions, IEEE Trans. Fuzzy Syst. 30 (1) (2022) 75–87.
[18]
W. Wu, S.C. Tong, Fixed-time adaptive fuzzy containment dynamic surface control for nonlinear multiagent systems, IEEE Trans. Fuzzy Syst. 30 (12) (2022) 5237–5248.
[19]
W.C. Zou, K.W. Qian, Z.R. Xiang, Fixed-time consensus for a class of heterogeneous nonlinear multiagent systems, IEEE Trans. Circuits Syst. II, Express Briefs 67 (7) (2020) 1279–1283.
[20]
H.J. Liang, G.L. Liu, H.G. Zhang, T.W. Huang, Neural-network-based event-triggered adaptive control of nonaffine nonlinear multiagent systems with dynamic uncertainties, IEEE Trans. Neural Netw. Learn. Syst. 32 (5) (2021) 2239–2250.
[21]
M.L. Xing, F.Q. Deng, Z.P. Hu, Sampled-data consensus for multiagent systems with time delays and packet losses, IEEE Trans. Syst. Man Cybern. Syst. 50 (1) (2020) 203–210.
[22]
T.P. Zhang, M.F. Lin, X.N. Xia, Y. Yang, Adaptive cooperative dynamic surface control of non-strict feedback multi-agent systems with input dead-zones and actuator failures, Neurocomputing 442 (2021) 48–63.
[23]
S.J. Yoo, Distributed event-triggered output-feedback synchronized tracking with connectivity-preserving performance guarantee for nonstrict-feedback nonlinear multiagent systems, Inf. Sci. 624 (2023) 451–466.
[24]
C.Q. Lin, Z. Liu, C.L.P. Chen, Y. Zhang, Z.Z. Wu, Neuroadaptive consensus tracking control of uncertain nonlinear multiagent systems with state time-delays, Inf. Sci. 649 (2023).
[25]
W.J. Peng, L.C. Zheng, C.L.P. Chen, Z.Z. Wu, Adaptive fixed-time consensus control of nonlinear multiagent systems with dead-zone output, Inf. Sci. 661 (2024).
[26]
W. Wang, S.C. Tong, Adaptive fuzzy bounded control for consensus of multiple strict-feedback nonlinear systems, IEEE Trans. Cybern. 48 (2) (2018) 522–531.
[27]
P.J. Werbos, Approximate dynamic programming for real-time control and neural modeling, in: Handbook of Intelligent Control Neural Fuzzy & Adaptive Approaches, Van Nostrand Reinhold, New York, NY, USA, 1992.
[28]
F.Y. Zhao, W.N. Gao, Z.P. Jiang, T.F. Liu, Event-triggered adaptive optimal control with output feedback: an adaptive dynamic programming approach, IEEE Trans. Neural Netw. Learn. Syst. 32 (11) (2021) 5208–5221.
[29]
T.P. Zhang, H.X. Xu, X.N. Xia, Y. Yi, Adaptive neural optimal control of uncertain nonlinear systems with output constraints, Neurocomputing 406 (2020) 182–195.
[30]
T.P. Zhang, T. Liu, Adaptive neural optimal control via command filter for nonlinear multi-agent systems including time-varying output constraints, Int. J. Robust Nonlinear Control 33 (2) (2023) 820–849.
[31]
H. Zargarzadeh, T. Dierks, S. Jagannathan, Optimal control of nonlinear continuous-time systems in strict-feedback form, IEEE Trans. Neural Netw. Learn. Syst. 26 (10) (2015) 2535–2549.
[32]
G.X. Wen, C.L.P. Chen, S.S. Ge, Simplified optimized backstepping control for a class of nonlinear strict-feedback systems with unknown dynamic functions, IEEE Trans. Cybern. 51 (9) (2021) 4567–4580.
[33]
J. Lan, Y.J. Liu, D.X. Yu, G.X. Wen, S.C. Tong, L. Liu, Time-varying optimal formation control for second-order multiagent systems based on neural network observer and reinforcement learning, IEEE Trans. Neural Netw. Learn. Syst. (2022),.
[34]
S.P. Bhat, D.S. Bernstein, Continuous finite-time stabilization of the translational and rotational double integrators, IEEE Trans. Autom. Control 43 (5) (1998) 678–682.
[35]
Z.W. Wu, T.P. Zhang, Adaptive finite-time tracking control for parameterized nonlinear systems with full state constraints, Int. J. Adapt. Control Signal Process. 35 (9) (2021) 1768–1788.
[36]
Z.W. Wu, T.P. Zhang, X.N. Xia, Y. Yi, Finite-time adaptive neural command filtered control for pure-feedback time-varying constrained nonlinear systems with actuator faults, Neurocomputing 490 (2022) 193–205.
[37]
Y.J. Shen, X.H. Xia, Semi-global finite-time observers for nonlinear systems, Automatica 44 (12) (2008) 3152–3156.
[38]
H.H. Wang, B. Chen, C. Lin, Y.M. Sun, F. Wang, Adaptive finite-time control for a class of uncertain high-order non-linear systems based on fuzzy approximation, IET Control Theory Appl. 11 (5) (2017) 677–684.
[39]
S.P. Huang, Z.R. Xiang, Adaptive finite-time stabilization of a class of switched nonlinear systems using neural networks, Neurocomputing 173 (2016) 2055–2061.
[40]
K. Zhao, Y.D. Song, Removing the feasibility conditions imposed on tracking control designs for state-constrained strict-feedback systems, IEEE Trans. Autom. Control 64 (3) (2019) 1265–1272.
[41]
Y. Hua, T.P. Zhang, Adaptive control of pure-feedback nonlinear systems with full-state time-varying constraints and unmodeled dynamics, Int. J. Adapt. Control Signal Process. 34 (2) (2020) 183–198.
[42]
T.P. Zhang, Y. Hua, X.N. Xia, Y. Yi, Unified adaptive event-triggered control of uncertain multi-input multi-output nonlinear systems with dynamic and static constraints, Int. J. Robust Nonlinear Control 31 (6) (2021) 2371–2392.
[43]
Z.P. Jiang, L. Praly, Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties, Automatica 34 (7) (1998) 825–840.
[44]
S.C. Tong, K.W. Li, Y.M. Li, Robust fuzzy adaptive finite-time control for high-order nonlinear systems with unmodeled dynamics, IEEE Trans. Fuzzy Syst. 29 (6) (2021) 1576–1589.
[45]
T.P. Zhang, M.Z. Xia, Y. Yi, Q.K. Shen, Adaptive neural dynamic surface control of pure-feedback nonlinear systems with full state constraints and dynamic uncertainties, IEEE Trans. Syst. Man Cybern. Syst. 47 (8) (2017) 2378–2387.
[46]
Z.W. Wu, T.P. Zhang, X.N. Xia, Y. Hua, Finite-time adaptive neural command filtered control for non-strict feedback uncertain multi-agent systems including prescribed performance and input nonlinearities, Appl. Math. Comput. 421 (2022).
[47]
Y. Hua, T.P. Zhang, X.N. Xia, Event-triggered adaptive neural command-filter-based dynamic surface control for state constrained nonlinear systems, Appl. Math. Comput. 434 (2022).

Index Terms

  1. Adaptive finite-time optimal fuzzy control for novel constrained uncertain nonstrict feedback mixed multiagent systems via modified dynamic surface control
    Index terms have been assigned to the content through auto-classification.

    Recommendations

    Comments

    Please enable JavaScript to view thecomments powered by Disqus.

    Information & Contributors

    Information

    Published In

    cover image Information Sciences: an International Journal
    Information Sciences: an International Journal  Volume 681, Issue C
    Oct 2024
    1022 pages

    Publisher

    Elsevier Science Inc.

    United States

    Publication History

    Published: 18 October 2024

    Author Tags

    1. Finite-time stability
    2. Optimal dynamic surface control
    3. Mixed multi-agent systems
    4. Fuzzy logic systems

    Qualifiers

    • Research-article

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • 0
      Total Citations
    • 0
      Total Downloads
    • Downloads (Last 12 months)0
    • Downloads (Last 6 weeks)0
    Reflects downloads up to 10 Nov 2024

    Other Metrics

    Citations

    View Options

    View options

    Get Access

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media