Skip to main content
Log in

A disturbance observer based intelligent control for nonstrict-feedback nonlinear systems

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

Focusing on one class of nonlinear systems with input saturation, the adaptive fuzzy dynamic event-triggered control problem is successfully solved. A dynamic event-triggered mechanism is adopted to save the communication burden of the system, and is integrated into the controller design process based on the backstepping technique. For handling the asymmetric input saturation, an auxiliary system with the same order as the considered system is constructed. Analysis problems caused by unknown continuous functions are efficiently tackled by applying the approximation theory of fuzzy logic systems. It is proven that all the signals of the resulting closed-loop system are bounded via Lyapunov stability analysis. Both numerical and practical simulations are presented to demonstrate the effectiveness of the theoretical results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Lei Y F, Li J M, Zhao A L. Adaptive neural networks control for uncertain parabolic distributed parameter systems with nonlinear periodic time-varying parameter. Sci China Tech Sci, 2022, 65: 1482–1492

    Article  Google Scholar 

  2. He X Y, Wang Q Y, Hao Y Q. Finite-time adaptive formation control for multi-agent systems with uncertainties under collision avoidance and connectivity maintenance. Sci China Tech Sci, 2020, 63: 2305–2314

    Article  Google Scholar 

  3. Chen J, Li J, Yuan X. Global fuzzy adaptive consensus control of unknown nonlinear multiagent systems. IEEE Trans Fuzzy Syst, 2020, 28: 510–522

    Article  Google Scholar 

  4. Yang C, Jiang Y, He W, et al. Adaptive parameter estimation and control design for robot manipulators with finite-time convergence. IEEE Trans Ind Electron, 2018, 65: 8112–8123

    Article  Google Scholar 

  5. Pan Y, Wu Y, Lam H K. Security-based fuzzy control for nonlinear networked control systems with DoS attacks via a resilient event-triggered scheme. IEEE Trans Fuzzy Syst, 2022, doi: https://doi.org/10.1109/TFUZZ.2022.3148875

  6. Cui R, Yang C, Li Y, et al. Adaptive neural network control of AUVs with control input nonlinearities using reinforcement learning. IEEE Trans Syst Man Cybern Syst, 2017, 47: 1019–1029

    Article  Google Scholar 

  7. Wu K J, Zhang P X, Wu H. A new control design for a morphing UAV based on disturbance observer and command filtered backstepping techniques. Sci China Tech Sci, 2019, 62: 1845–1853

    Article  Google Scholar 

  8. Ge S S, Wang C, Lee T H. Adaptive backstepping control of a class of chaotic systems. Int J Bifurcation Chaos, 2000, 10: 1149–1156

    Article  MathSciNet  MATH  Google Scholar 

  9. Pan Y, Li Q, Liang H, et al. A novel mixed control approach for fuzzy systems via membership functions online learning policy. IEEE Trans Fuzzy Syst, 2022, 30: 3812–3822

    Article  Google Scholar 

  10. Wang J, Yang C, Xia J, et al. Observer-based sliding mode control for networked fuzzy singularly perturbed systems under weighted try-once-discard protocol. IEEE Trans Fuzzy Syst, 2022, 30: 1889–1899

    Article  Google Scholar 

  11. Lin G, Li H, Ma H, et al. Human-in-the-loop consensus control for nonlinear multi-agent systems with actuator faults. IEEE CAA J Autom Sin, 2022, 9: 111–122

    Article  MathSciNet  Google Scholar 

  12. Li H, Wu Y, Chen M. Adaptive fault-tolerant tracking control for discrete-time multiagent systems via reinforcement learning algorithm. IEEE Trans Cybern, 2021, 51: 1163–1174

    Article  Google Scholar 

  13. Liu Z, Lin W, Yu X, et al. Approximation-free robust synchronization control for dual-linear-motors-driven systems with uncertainties and disturbances. IEEE Trans Ind Electron, 2022, 69: 10500–10509

    Article  Google Scholar 

  14. Liang H, Liu G, Zhang H, et al. Neural-network-based event-triggered adaptive control of nonaffine nonlinear multiagent systems with dynamic uncertainties. IEEE Trans Neural Netw Learn Syst, 2021, 32: 2239–2250

    Article  MathSciNet  Google Scholar 

  15. Tong S, Min X, Li Y. Observer-based adaptive fuzzy tracking control for strict-feedback nonlinear systems with unknown control gain functions. IEEE Trans Cybern, 2020, 50: 3903–3913

    Article  Google Scholar 

  16. Heemels W P M H, Donkers M C F, Teel A R. Periodic event-triggered control for linear systems. IEEE Trans Automat Contr, 2013, 58: 847–861

    Article  MathSciNet  MATH  Google Scholar 

  17. Hu A H, Park J H, Cao J D, et al. Event-triggered bipartite consensus over cooperation-competition networks under DoS attacks. Sci China Tech Sci, 2021, 64: 157–168

    Article  Google Scholar 

  18. Wang X X, Liu Z X, Chen Z Q. Event-triggered fault-tolerant consensus control with control allocation in leader-following multi-agent systems. Sci China Tech Sci, 2021, 64: 879–889

    Article  Google Scholar 

  19. Zhang Y, Li H, Sun J, et al. Cooperative adaptive event-triggered control for multiagent systems with actuator failures. IEEE Trans Syst Man Cybern Syst, 2019, 49: 1759–1768

    Article  Google Scholar 

  20. Chen J, Li J, Guo Y, et al. Consensus control of mixed-order nonlinear multiagent systems: Framework and case study. IEEE Trans Cybern, 2021, 1–10

  21. Li Z, Ren Z, Zhao K, et al. Human-cooperative control design of a walking exoskeleton for body weight support. IEEE Trans Ind Inf, 2020, 16: 2985–2996

    Article  Google Scholar 

  22. Hu X, Li Y, Hou Z, et al. Event-triggered prescribed performance adaptive fuzzy asymptotic tracking of nonstrict-feedback nonlinear systems. Int J Robust Nonlinear Control, 2021, 31: 5776–5795

    Article  MathSciNet  Google Scholar 

  23. Liu X, Xia J, Wang J, et al. Interval type-2 fuzzy passive filtering for nonlinear singularly perturbed PDT-switched systems and its application. J Syst Sci Complex, 2021, 34: 2195–2218

    Article  MathSciNet  MATH  Google Scholar 

  24. Chen Z, Han Q L, Yan Y, et al. How often should one update control and estimation: Review of networked triggering techniques. Sci China Inf Sci, 2020, 63: 150201

    Article  MathSciNet  Google Scholar 

  25. Ding D, Wang Z, Ho D W C, et al. Observer-based event-triggering consensus control for multiagent systems with lossy sensors and cyber-attacks. IEEE Trans Cybern, 2017, 47: 1936–1947

    Article  Google Scholar 

  26. Xu Y, Wu Z G. Distributed adaptive event-triggered fault-tolerant synchronization for multiagent systems. IEEE Trans Ind Electron, 2021, 68: 1537–1547

    Article  Google Scholar 

  27. Liang H, Guo X, Pan Y, et al. Event-triggered fuzzy bipartite tracking control for network systems based on distributed reduced-order observers. IEEE Trans Fuzzy Syst, 2021, 29: 1601–1614

    Article  Google Scholar 

  28. Jia T, Pan Y, Liang H, et al. Event-based adaptive fixed-time fuzzy control for active vehicle suspension systems with time-varying displacement constraint. IEEE Trans Fuzzy Syst, 2022, 30: 2813–2821

    Article  Google Scholar 

  29. Wang L, Chen C L P. Reduced-order observer-based dynamic event-triggered adaptive NN control for stochastic nonlinear systems subject to unknown input saturation. IEEE Trans Neural Netw Learn Syst, 2021, 32: 1678–1690

    Article  MathSciNet  Google Scholar 

  30. Zhang H, Xi R, Wang Y, et al. Event-triggered adaptive tracking control for random systems with coexisting parametric uncertainties and severe nonlinearities. IEEE Trans Automat Contr, 2022, 67: 2011–2018

    Article  MathSciNet  MATH  Google Scholar 

  31. Shen J, Lam J. Analysis of positive systems with input saturation: Invariant hyperpyramids and hyperrectangles. IEEE Trans Automat Contr, 2022, 67: 3005–3012

    Article  MathSciNet  MATH  Google Scholar 

  32. Gao H, Li Z, Yu X, et al. Hierarchical multiobjective heuristic for PCB assembly optimization in a beam-head surface mounter. IEEE Trans Cybern, 2022, 52: 6911–6924

    Article  Google Scholar 

  33. Guo J H, Luo Y G, Wang J Y, et al. An adaptive cascade trajectory tracking control for over-actuated autonomous electric vehicles with input saturation. Sci China Tech Sci, 2019, 62: 2153–2160

    Article  Google Scholar 

  34. Huang C D, Cao J D. Comparative study on bifurcation control methods in a fractional-order delayed predator-prey system. Sci China Tech Sci, 2019, 62: 298–307

    Article  Google Scholar 

  35. Zhao X, Yang H, Xia W, et al. Adaptive fuzzy hierarchical sliding-mode control for a class of MIMO nonlinear time-delay systems with input saturation. IEEE Trans Fuzzy Syst, 2017, 25: 1062–1077

    Article  Google Scholar 

  36. He W, Dong Y, Sun C. Adaptive neural impedance control of a robotic manipulator with input saturation. IEEE Trans Syst Man Cybern Syst, 2016, 46: 334–344

    Article  Google Scholar 

  37. Huang B, Song S, Zhu C, et al. Finite-time distributed formation control for multiple unmanned surface vehicles with input saturation. Ocean Eng, 2021, 233: 109158

    Article  Google Scholar 

  38. Hu H, Wang B, Cheng Z, et al. A novel active fault-tolerant control for spacecrafts with full state constraints and input saturation. Aerosp Sci Tech, 2021, 108: 106368

    Article  Google Scholar 

  39. Ma H, Li H, Lu R, et al. Adaptive event-triggered control for a class of nonlinear systems with periodic disturbances. Sci China Inf Sci, 2020, 63: 150212

    Article  MathSciNet  Google Scholar 

  40. Chen M, Tao G, Jiang B. Dynamic surface control using neural networks for a class of uncertain nonlinear systems with input saturation. IEEE Trans Neural Netw Learn Syst, 2015, 26: 2086–2097

    Article  MathSciNet  Google Scholar 

  41. Chen M, Xiong S, Wu Q. Tracking flight control of quadrotor based on disturbance observer. IEEE Trans Syst Man Cybern Syst, 2021, 51: 1414–1423

    Article  Google Scholar 

  42. Na J, Huang Y, Wu X, et al. Adaptive finite-time fuzzy control of non-linear active suspension systems with input delay. IEEE Trans Cybern, 2020, 50: 2639–2650

    Article  Google Scholar 

  43. Zhang H, Liu Y, Wang Y. Observer-based finite-time adaptive fuzzy control for nontriangular nonlinear systems with full-state constraints. IEEE Trans Cybern, 2021, 51: 1110–1120

    Article  Google Scholar 

  44. Li Z, Zhao K, Zhang L, et al. Human-in-the-loop control of a wearable lower limb exoskeleton for stable dynamic walking. IEEE ASME Trans Mechatron, 2021, 26: 2700–2711

    Article  Google Scholar 

  45. Liu Y J, Zeng Q, Tong S, et al. Adaptive neural network control for active suspension systems with time-varying vertical displacement and speed constraints. IEEE Trans Ind Electron, 2019, 66: 9458–9466

    Article  Google Scholar 

  46. Qiu J, Sun K, Rudas I J, et al. Command filter-based adaptive NN control for MIMO nonlinear systems with full-state constraints and actuator hysteresis. IEEE Trans Cybern, 2020, 50: 2905–2915

    Article  Google Scholar 

  47. Li Z, Yu X, Qiu J, et al. Cell division genetic algorithm for component allocation optimization in multifunctional placers. IEEE Trans Ind Inf, 2022, 18: 559–570

    Article  Google Scholar 

  48. Pan Y, Du P, Xue H, et al. Singularity-free fixed-time fuzzy control for robotic systems with user-defined performance. IEEE Trans Fuzzy Syst, 2021, 29: 2388–2398

    Article  Google Scholar 

  49. Li Z, Deng C, Zhao K. Human-cooperative control of a wearable walking exoskeleton for enhancing climbing stair activities. IEEE Trans Ind Electron, 2020, 67: 3086–3095

    Article  Google Scholar 

  50. Li Z, Huang B, Ye Z, et al. Physical human-robot interaction of a robotic exoskeleton by admittance control. IEEE Trans Ind Electron, 2018, 65: 9614–9624

    Article  Google Scholar 

  51. Wang Q S, Zhuang H, Duan Z S, et al. Robust control of uncertain robotic systems: An adaptive friction compensation approach. Sci China Tech Sci, 2021, 64: 1228–1237

    Article  Google Scholar 

  52. Han H G, Zhang J C, Du S L, et al. Robust optimal control for anaerobic-anoxic-oxic reactors. Sci China Tech Sci, 2021, 64: 1485–1499

    Article  Google Scholar 

  53. Xia X Z, Cheng L. Adaptive Takagi-Sugeno fuzzy model and model predictive control of pneumatic artificial muscles. Sci China Tech Sci, 2021, 64: 2272–2280

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to HongYi Li.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 62003093, 62203119, 62121004, and 62141606), the China National Postdoctoral Program (BX20220095, 2022M710826), the Major Key Project of Peng Cheng Laboratory (Grant No. PCL2021A09), the Natural Science Foundation of Guangdong Province (Grant No. 2022A1515011506), the Local Innovative and Research Teams Project of Guangdong Special Support Program (Grant No. 2019BT02X353), and the Guangzhou Science and Technology Planning Project (Grant No. 202102020586).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ren, H., Ma, H., Li, H. et al. A disturbance observer based intelligent control for nonstrict-feedback nonlinear systems. Sci. China Technol. Sci. 66, 456–467 (2023). https://doi.org/10.1007/s11431-022-2126-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-022-2126-7

Keywords

Navigation