Abstract
We explore the robust tracking problem for nonholonomic wheeled mobile robots (WMR) in the presence of uncertainties. The kinematics of the WMR are represented in the Takagi–Sugeno fuzzy form without modeling error. Recognizing the inherent challenge of obtaining a discrete-time model for time-triggered sampled-data controller design, we adopt an event-triggered sampled-data controller. The designed controller guarantees notable \(\mathcal {L}_{2}\)–\(\mathcal {L}_{\infty }\) disturbance attenuation performance and robustness against norm-bounded parametric uncertainties, excluding the Zeno phenomenon in the event triggering. Results of the case study about the WMR model demonstrate the efficacy of the proposed methodology.
Similar content being viewed by others
References
Chang XH, Park JH, Shi P (2017) Fuzzy resilient energy-to-peak filtering for continuous-time nonlinear systems. IEEE Trans Fuzzy Syst 25(6):1576–1588. https://doi.org/10.1109/tfuzz.2016.2612302
Ge Z, Man Z, Wang Z, Bai X, Wang X, Xiong F, Li D (2023) Robust adaptive sliding mode control for path tracking of unmanned agricultural vehicles. Comput Electr Eng 108(108):693. https://doi.org/10.1016/j.compeleceng.2023.108693
Jee SC, Lee HJ (2023) Positive sampled-data disturbance attenuation: separate design. Journal of Electrical Engineering & Technology. https://doi.org/10.1007/s42835-023-01637-2
Klančar G, Škrjanc I (2007) Tracking-error model-based predictive control for mobile robots in real time. Robot Auton Syst 55(6):460–469. https://doi.org/10.1016/j.robot.2007.01.002
Lee HJ (2022) Robust static output-feedback vaccination policy design for an uncertain SIR epidemic model with disturbances: positive Takagi-Sugeno model approach. Biomed Signal Process Control 72(Part A):103,273. https://doi.org/10.1016/j.bspc.2021.103273
Lee HJ (2023) Positivity and separation principle for observer-based output-feedback disturbance attenuation of uncertain discrete-time fuzzy models with immeasurable premise variables. J Franklin Inst 360(12):8486–8505. https://doi.org/10.1016/j.jfranklin.2023.03.047
Lee HJ (2023) Robust observer-based output-feedback control for epidemic models: positive fuzzy model and separation principle approach. Appl Soft Comput 132:109,802. https://doi.org/10.1016/j.asoc.2022.109802
Lee HJ, Kim DW (2016) Performance-recoverable intelligent digital redesign for fuzzy tracking controllers. Inf Sci 326:350–367. https://doi.org/10.1016/j.ins.2015.08.003
Lee HJ, Park JB, Chen G (2001) Robust fuzzy control of nonlinear systems with parametric uncertainties. IEEE Trans Fuzzy Syst 9(2):369–379. https://doi.org/10.1109/91.919258
Li L, Wang T, Xia Y, Zhou N (2020) Trajectory tracking control for wheeled mobile robots based on nonlinear disturbance observer with extended Kalman filter. J Franklin Inst 357(13):8491–8507. https://doi.org/10.1016/j.jfranklin.2020.04.043
Nath K, Yesmin A, Nanda A, Bera MK (2021) Event-triggered sliding-mode control of two wheeled mobile robot: an experimental validation. IEEE J Emerg Sel Top in Industrial Electronics 2(3):218–226. https://doi.org/10.1109/jestie.2021.3087965
Palhares RM, Peres PL (2000) Robust filtering with guaranteed energy-to-peak performance—an \(\mathscr {L}\)\(\mathscr {M}\)\(\mathscr {I}\) approach. Automatica 36(6):851–858. https://doi.org/10.1016/S0005-1098(99)00211-3
Park BS, Yoo SJ, Park JB, Choi YH (2009) Adaptive neural sliding mode control of nonholonomic wheeled mobile robots with model uncertainty. IEEE Trans Control Syst Technol 17(1):207–214. https://doi.org/10.1109/TCST.2008.922584
Park BS, Yoo SJ, Park JB, Choi YH (2010) A simple adaptive control approach for trajectory tracking of electrically driven nonholonomic mobile robots. IEEE Trans Control Syst Technol 18(5):1199–1206. https://doi.org/10.1109/tcst.2009.2034639
Sun CH, Chen YJ, Wang YT, Huang SK (2017) Sequentially switched fuzzy-model-based control for wheeled mobile robot with visual odometry. Appl Math Model 47:765–776. https://doi.org/10.1016/j.apm.2016.11.001
Wang Q, He J, Lu C, Wang C, Lin H, Yang H, Li H (2023) Wu Z (2023) Modelling and control methods in path tracking control for autonomous agricultural vehicles: a review of state of the art and challenges. Appl Sci 13(12):7155. https://doi.org/10.3390/app13127155
Xie L (1996) Output feedback \({H}_{\infty }\) control of systems with parameter uncertainties. Int J Control 63(4):741–750. https://doi.org/10.1080/00207179608921866
Xie X, Lam J, Fan C, Wang X, Kwok KW (2022) Energy-to-peak output tracking control of actuator saturated periodic piecewise time-varying systems with nonlinear perturbations. IEEE Trans Syst Man Cybern: Systems 52(4):2578–2590. https://doi.org/10.1109/tsmc.2021.3049524
Yang JM, Kim JH (1999) Sliding mode control for trajectory tracking of nonholonomic wheeled mobile robots. IEEE Trans Robot Autom 15(3):578–587. https://doi.org/10.1109/70.768190
Zhang J, Peng C (2015) Event-triggered \({H}_{\infty }\)filtering for networked Takagi–Sugeno fuzzy systems with asynchronous constraints. IET Signal Proc 9(5):403–411. https://doi.org/10.1049/iet-spr.2014.0319
Zhu Z, Chen J, Yoshida T, Torisu R, Song Z, Mao E (2007) Path tracking control of autonomous agricultural mobile robots. Journal of Zhejiang University-SCIENCE A 8(10):1596–1603. https://doi.org/10.1631/jzus.2007.A1596
Acknowledgements
This work was supported by Inha University Research Grant.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Jee, S.C., Lee, H.J. Robust Event-triggered Fuzzy Energy-to-peak Disturbance Attenuation for Wheeled Mobile Robots. J. Electr. Eng. Technol. (2024). https://doi.org/10.1007/s42835-024-01893-w
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s42835-024-01893-w