Journal ArticleDOI
Direct Adaptive Neural Control for a Class of Uncertain Nonaffine Nonlinear Systems Based on Disturbance Observer
Mou Chen,Shuzhi Sam Ge +1 more
TLDR
Both state feedback and output feedback direct adaptive controls can guarantee semiglobal uniform boundedness of the closed-loop system signals as rigorously proved by Lyapunov analysis.Abstract:
In this paper, the direct adaptive neural control is proposed for a class of uncertain nonaffine nonlinear systems with unknown nonsymmetric input saturation. Based on the implicit function theorem and mean value theorem, both state feedback and output feedback direct adaptive controls are developed using neural networks (NNs) and a disturbance observer. A compounded disturbance is defined to take into account of the effect of the unknown external disturbance, the unknown nonsymmetric input saturation, and the approximation error of NN. Then, a disturbance observer is developed to estimate the unknown compounded disturbance, and it is established that the estimate error converges to a compact set if appropriate observer design parameters are chosen. Both state feedback and output feedback direct adaptive controls can guarantee semiglobal uniform boundedness of the closed-loop system signals as rigorously proved by Lyapunov analysis. Numerical simulation results are presented to illustrate the effectiveness of the proposed direct adaptive neural control techniques.read more
Citations
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Journal ArticleDOI
Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems
Yan-Jun Liu,Shaocheng Tong +1 more
TL;DR: Two theorems are provided to show that all the signals in the closed-loop system are bounded, the outputs are driven to follow the reference signals and all the states are ensured to remain in the predefined compact sets.
Journal ArticleDOI
The elements of real analysis (2nd edition), by Robert G. Bartle. Pp xv, 480. £10. 1976. SBM 0 471 05464 X (Wiley)
TL;DR: A Glimpse at Set Theory: The Topology of Cartesian Spaces and the Functions of One Variable.
Journal ArticleDOI
Adaptive control-based Barrier Lyapunov Functions for a class of stochastic nonlinear systems with full state constraints
TL;DR: It is proved that all the signals in the closed-loop system are semi-global uniformly ultimately bounded (SGUUB) in probability, the system output is driven to follow the reference signals, and all the states are ensured to remain in the predefined compact sets.
Journal ArticleDOI
Dynamic Surface Control Using Neural Networks for a Class of Uncertain Nonlinear Systems With Input Saturation
TL;DR: The problem of explosion of complexity inherent in the conventional backstepping method is avoided and the ultimately bounded convergence of all closed-loop signals is guaranteed via Lyapunov analysis.
Journal ArticleDOI
Adaptive Neural Network Control of a Marine Vessel With Constraints Using the Asymmetric Barrier Lyapunov Function
Wei He,Zhao Yin,Changyin Sun +2 more
TL;DR: This paper considers the trajectory tracking of a marine surface vessel in the presence of output constraints and uncertainties, and an asymmetric barrier Lyapunov function is employed to cope with the output constraints.
References
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Journal ArticleDOI
The application of disturbance observer-based sliding mode control for magnetic levitation systems:
TL;DR: In this article, a sliding mode controller is proposed, with a simple yet effective disturbance observer to perform disturbance rejection, and the simulation results and the experimental results verify the validity of the robust controller.
Proceedings ArticleDOI
Adaptive Control of First-order Nonlinear Systems with Input Non-affine Nonlinearities
TL;DR: It is shown that the perfect adaptive stabilization is achievable when the desired trajectory is constant, and the output tracking error converges to a compact set whose size depends on the upper bound of the time derivative of the desired trajectories.
Adaptive Control Based on State and Perturbation Observer for Nonaffine Nonlinear Systems and its Application to CSTR Systems
Mohammed M'Saad,Mondher Farza +1 more
Proceedings ArticleDOI
Adaptive control of non-affine uncertain systems
Vahram Stepanyan,A. Kurdila +1 more
TL;DR: A robust adaptive control design methodology for a class of single-input single-output uncertain non-afflne systems subject to additive unknown disturbances using the linear in parameters approximation of unknown nonlinearities and the adaptive bounding technique.