Adaptive controller design for tracking and disturbance attenuation in parametric strict-feedback nonlinear systems

@article{Pan1998AdaptiveCD,
  title={Adaptive controller design for tracking and disturbance attenuation in parametric strict-feedback nonlinear systems},
  author={Zigang Pan and Tamer Başar},
  journal={IEEE Trans. Autom. Control.},
  year={1998},
  volume={43},
  pages={1066-1083}
}
  • Z. Pan, T. Başar
  • Published 1 December 1998
  • Mathematics
  • IEEE Trans. Autom. Control.
The authors develop a systematic procedure for obtaining robust adaptive controllers that achieve asymptotic tracking and disturbance attenuation for a class of nonlinear systems which are described in the parametric strict-feedback form and are subject to additional exogenous disturbance inputs. Their approach to adaptive control is performance-based, where the objective for the controller design is not only to find an adaptive controller, but also to construct an appropriate cost functional… 

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References

SHOWING 1-10 OF 52 REFERENCES
Nonlinear design of adaptive controllers for linear systems
TLDR
A new approach to adaptive control oflinear systems abandons the traditional certainty-equivalence concept and treats the control of linear plants with unknown parameters as a nonlinear problem, which significantly improves transient performance without an increase in control effort.
Robust continuous-time adaptive control by parameter projection
The problem of adaptive control of a continuous-time plant of arbitrary relative degree, in the presence of bounded disturbances as well as unmodeled dynamics, is addressed. The adaptation considered
Systematic Design of Adaptive Controllers for Feedback Linearizable Systems
A systematic procedure is developed for the design of new adaptive regulation and trackdng schemes for a class of feedback linearizable nonlinear systems. The coordinate-free geometric conditions,
Performance analysis and improvement in model reference adaptive control
The purpose of this paper is to address the issue of performance by using two additional criteria to assess performance in the ideal and nonideal situations. They are the mean square tracking error
Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics
TLDR
It is concluded that existing adaptive control algorithms, as presented in the literature referenced in this paper, cannot be used with confidence in practical designs where the plant contains unmodeled dynamics because instability is likely to result.
Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems
A solution to the problem of disturbance attenuation via measurement feedback with internal stability is presented for an affine nonlinear system. It is shown that the concept of disturbance
Adaptive nonlinear design with controller-identifier separation and swapping
TLDR
A new adaptive nonlinear control design which achieves a complete controller-identifier separation and is more flexible than the Lyapunov-based design because the identifier can employ any standard update law gradient and least-squares, normalized and unnormalized.
Robust Adaptive Control
TLDR
It is shown that if the persistent excitation of the reference input is larger than the perturbation in some sense, the solutions will be globally bounded.
On Morse's new adaptive controller: parameter convergence and transient performance
  • R. Ortega
  • Mathematics
    IEEE Trans. Autom. Control.
  • 1993
TLDR
It is proved that the L/sub 2/ norm of the tracking error is uniformly bounded by the initial parameter estimation error, and that, modulo a signal dependent time scale change, Morse's estimator is equivalent to a normalized gradient plus filtering identifier.
...
...