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Consensus control protocol for stochastic multiagents with predictors

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Abstract

In this work, a consensus control strategy is designed for stochastic multiagents system with a leader under directed topological diagrams. In the process of designing the controller, a neural networks structure is approximately used instead of uncertain functions. A novel consensus scheme with predictors is established via dynamic surface programme. Furthermore, according to backstepping technique and Lyapunov stability theorem, it can be concluded that our scheme can obtain a rapid learning effect, while the expected tracking is achieved within a small error range.

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Data Availability Statement

The Data type used to support the findings of this study is included within the article.

References

  • Deng H, Krstic M (1997) Stochastic nonlinear stabilizaton, part I: a backstepping design. Syst Contro l lett 32(3):143–150

    Article  MATH  Google Scholar 

  • Fax JA, Murray RM (2004) Information flow and cooperative control of vehicle formations. IEEE Trans Autom Control 49(9):1465–1476

    Article  MathSciNet  MATH  Google Scholar 

  • Hou Z, Cheng L, Tan M (2009) Decentralized robust adaptive control for the multiagent system consensus problem using neural networks. IEEE Trans Syst Man Cybern B, Cybern 39(3):636–647

    Article  Google Scholar 

  • Hu GQ (2012) Robust consensus tracking of a class of second-order muliti-agent dynamic systems. Syst Control Lett 61(1):134–142

    Article  MATH  Google Scholar 

  • Hu JP, Zheng WX (2014) Adaptive tracking control of leader-follower systems with unknow dynamics and partial measurements. Automatica 50(5):1416–1423

    Article  MathSciNet  MATH  Google Scholar 

  • Huo X, Ma L, Zhao XD, Niu B, Zong GD (2019) Observer-based adaptive fuzzy tracking control of MIMO switched nonlinear systems preceded by unknown backlash-like hysteresis. Inf Sci 490:369–386

    Article  MathSciNet  MATH  Google Scholar 

  • Jameel A, Rehan M, Hong KS, Iqbal N (2016) Distributed adaptive consensus control of Lipschitz nonlinear multi-agent systems using output feedback. Int J Control 89(11):2336–2349

    Article  MathSciNet  MATH  Google Scholar 

  • Li A, Duan Z, Chen G, Huang L (2010) Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint. IEEE Trans Circ Syst 57(1):213–224

    MathSciNet  MATH  Google Scholar 

  • Li Y, Tong S, Li T (2015) Composite adaptive fuzzy output feedback control design for uncertain nonlinear strict-feedback systems with input saturation. IEEE Trans Cybern 45(10):2299–2308

    Article  Google Scholar 

  • Li Y, Ma Z, Tong S (2017) Adaptive fuzzy output-Constrained Fault-tolerant control of nonlinear stochastic large-scale systems with actuator faults. IEEE Trans Cybern 47(9):2362–2376

    Article  Google Scholar 

  • Li Y, Hu J, Yang T, Fan Y (2021) Global finite-time stabilization of switched high-order rational power nonlinear systems. Nonlinear Anal: Hybrid Syst 40:101007

    MathSciNet  MATH  Google Scholar 

  • Liang H, Li H, Yu Z, Li P, Wang W (2017) Cooperative robust containment control for general discrete-time multi-agent systems with external disturbance. IEEE Control Theory Appl 11(12):1928–1937

    Article  MathSciNet  Google Scholar 

  • Liang H, Zhang Z, Ahn CK (2019) Event-triggered fault detection and isolation of discrete-time systems based on geometric technique. IEEE Trans Circuits Syst II: Express Br 67(2):335–339

    Article  Google Scholar 

  • Li Y, Fan Y, Li K, Liu W, Tong S (2021) Adaptive optimized backstepping control-based RL algorithm for stochastic nonlinear systems with state constraints and its application, IEEE Trans Cybern, 1-14

  • Liu YG, Zhang JF (2004) Reduced-order obserer-based control design for nonlinear stochastic systems. Syst Control Lett 52:123–135

    Article  Google Scholar 

  • Niu B, Liu Y, Zhou W, Li H, Duan P (2019) Multiple Lyapunov functions for adaptive neural tracking control of switched nonlinear nonlower-triangular systems. IEEE Trans Cybern 50(5):1877–1886

    Article  Google Scholar 

  • Niu B, Duan P, Li J, Li X (2021) Adaptive neural tracking control scheme of switched stochastic nonlinear pure-feedback nonlower triangular systems. IEEE Trans Syst, Man, Cybern 51(2):975–986

    Article  Google Scholar 

  • Pan ZG, Basar T (1998) Adaptive controller design for tracking and disturbance attenuation in parametric strict-feedback nonlinear systems. IEEE Trans Autom Control 43(8):1066–1083

    Article  MathSciNet  MATH  Google Scholar 

  • Park J, Sandberg IW (1991) Universal approximation using radial-basis-function networks. Neural. Comp 3(2):246–257

    Article  Google Scholar 

  • Peng Z, Wang D, Zhang H, Sun G (2014) Distributed neural network control for adaptive synchronization of uncertain dynamical multiagent systems. IEEE T Neur Net Lear 25(8):1508–1519

    Article  Google Scholar 

  • Psillakis HE, Alexandridis AT (2007) NN-based adaptive tracking control of uncertain nonlinear systems disturbed by unknown covariance noise. IEEE Trans Neural Netw 18(6):1830–1835

    Article  Google Scholar 

  • Rehan M, Jameel A, Ahn CK (2018) Distributed consensus control of one-sided Lipschitz nonlinear multi-agent systems. IEEE Trans Syst, Man, Cybern: Syst 48(8):1297–1308

    Article  Google Scholar 

  • Song B, Hedrick JK (2004) Observer-based dynamic surface control for a class of nonlinear systems: an LMI approach. IEEE Trans Autom Control 49(11):1995–2001

    Article  MathSciNet  MATH  Google Scholar 

  • Song B, Hedrick JK, Howell A (2002) Robust stabilization and ultimate boundedness of dynamic surface control systems via convex optimization. Int J Control 75(12):870–881

    Article  MathSciNet  MATH  Google Scholar 

  • Swaroop D, Hedrick JK, Yip PP, Gerdes JC (2000) Dynamic surface control for a class of nonlinear systems. IEEE Trans Autom Control 45(10):1893–1899

    Article  MathSciNet  MATH  Google Scholar 

  • Tong SC, Li YM, Zhang H (2011) Adaptive neural network decentralized backstepping output-feedback control for nonlinear large-scale systems with time delays. IEEE Trans Neural Netw 22(7):1073–1086

    Article  Google Scholar 

  • Wang LX, Mendel JM (1992) Fuzzy basis functions, universal approximation, and orthogonal least-squares learning. IEEE Trans Neural Netw 3(5):807–814

    Article  Google Scholar 

  • Wang M, Liu X, Shi P (2011) Adaptive neural control of pure-feedback nonlinear time-delay systems via dynamic surface technique. IEEE Trans Syst, Man, Cybern B, Cybern 41(6):1681–1692

    Article  Google Scholar 

  • Wang W, Wang D, Peng ZH, Wang H (2016) Cooperative adaptive fuzzy output feedback control for synchronization of nonlinear multi-agent systems in the presence of input saturation. Asian J Control 18(2):1893–1899

    Article  MathSciNet  MATH  Google Scholar 

  • Wang D, Ha M, Qiao J (2019) Self-learning optimal regulation for discrete-time nonlinear systems under event-driven formulation. IEEE Trans Autom Control 65(3):1272–1279

    Article  MathSciNet  MATH  Google Scholar 

  • Wang H, Yue H, Liu S, Li T (2020) Adaptive fixed-time control for Lorenz systems. Nonlinear Dyn 102(4):617–2625

    Article  Google Scholar 

  • Wang H, Shan L, Zhao X, Li T (2021) Direct adaptive fuzzy tracking control of non-affine Stochastic nonlinear time-delay systems. Int J Fuzzy Syst 23(2):309–321

    Article  Google Scholar 

  • Wang D, Qiao J, Cheng J (2020) An approximate neuro-optimal solution of discounted guaranteed cost control design, IEEE Trans Cybern, 1-10

  • Wen GH, Hu GQ, Gao JD, Chen GR (2013) Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs. Syst Control Lett 62(12):1151–1158

    Article  MathSciNet  MATH  Google Scholar 

  • Xie XJ, Tian J (2009) A adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization. Automatica 45(1):126–133

    Article  MathSciNet  MATH  Google Scholar 

  • Xie X, Duan N, Yu X (2011) State-feedback control of high-order stochastic nonlinear systems with SiISS inverse dynamics. IEEE Trans Autom Control 56(8):1921–1926

    Article  MathSciNet  MATH  Google Scholar 

  • Xu B, Shi Z, Yang C, Sun F (2014) Composite neural dynamic surface control of a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans Cybern 44(12):2626–2634

    Article  Google Scholar 

  • Yoo SJ (2013) Distributed consensus tracking for multiple uncertain nonlinear strict-feedback systems under a directed graph. IEEE T Neur Net Lear 24(4):666–672

    Article  Google Scholar 

  • Yu H, Xia XH (2012) Adaptive consensus of multi-agents in networks with jointly connected topologies. Automatica 48(8):1783–1790

    Article  MathSciNet  MATH  Google Scholar 

  • Yu X, Xie XJ, Duan N (2010) Small-gain control method for stochastic nonlinear systems with stochastic iISS inverse dynamics. Automatica 46(11):1790–1798

    Article  MathSciNet  MATH  Google Scholar 

  • Yu W, Chen G, Wang Z, Yang W (2009) Distributed Consensus Filtering in Sensor Networks, IEEE Trans Syst., Man, Cybern B, Cybern

  • Zhang HW, Lewis FL (2012) Adaptive cooperative tracking control of higher-order nonlinear systems with unknow dynamics. Automatica 48(7):1432–1439

    Article  MathSciNet  MATH  Google Scholar 

  • Zhao XD, Shi P, Zheng XL, Zhang LX (2015) Adaptive tracking control for switched stochastic nonlinear systems with unknown actuator dead-zone. Automatica 60:193–200

    Article  MathSciNet  MATH  Google Scholar 

  • Zhu QX (2019) Stabilization of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. IEEE Trans Autom Control 64(9):3764–3771

    Article  MathSciNet  MATH  Google Scholar 

  • Zhu QX, Wang H (2018) Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function. Automatica 87:166–175

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (11871117, 61976027), the Natural Science Foundation of Liaoning Province of China (20180551262, XLYC2008002, LJKZ1030).

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Authors and Affiliations

  1. College of Mathematical Sciences, Bohai University, Jinzhou, Liaoning, 121013, China

    Xiaoli Jiang, Li Yang, Siqi Liu & Mingyue Liu

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  1. Xiaoli Jiang
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  2. Li Yang
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  3. Siqi Liu
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  4. Mingyue Liu
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Correspondence to Xiaoli Jiang.

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Jiang, X., Yang, L., Liu, S. et al. Consensus control protocol for stochastic multiagents with predictors. Soft Comput 26, 13–24 (2022). https://doi.org/10.1007/s00500-021-06430-9

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