Adaptive control of second-order plants in the presence of unmodeled dynamics*

@article{Hussain2016AdaptiveCO,
  title={Adaptive control of second-order plants in the presence of unmodeled dynamics*},
  author={Heather S. Hussain and A. Annaswamy and E. Lavretsky},
  journal={IFAC-PapersOnLine},
  year={2016},
  volume={49},
  pages={152-157}
}
Abstract In this paper, we provide a sufficient condition for global boundedness of the closed-loop adaptive system comprised of a general second-order plant, whose state variables are accessible, in the presence of a minimally restrictive class of unmodeled dynamics. 
Robustness of adaptive control systems to unmodeled dynamics : a describing function viewpoint
TLDR
In using the well-known Describing Function method, the analysis of the robust adaptive control problem becomes tractable and resembles that of familiar and classical linear stability analysis. Expand
A new approach to robust adaptive control
TLDR
A new approach in proving global boundedness of adaptive systems in the presence of nonparametric uncertainties is reviewed, which provides a novel approach to robust adaptive control. Expand

References

SHOWING 1-7 OF 7 REFERENCES
Adaptive Control of Scalar Plants in the Presence of Unmodeled Dynamics
TLDR
It is shown that implementation of a projection algorithm with standard adaptive control of a scalar plant ensures global boundedness of the overall adaptive system for a class of unmodeled dynamics. Expand
Guaranteed delay margins for adaptive systems with state variables accessible
TLDR
It is shown that a standard adaptive controller with a projection algorithm ensures global boundedness of the overall adaptive system for a range of non-zero delays. Expand
Robust Adaptive Control in the Presence of Unmodeled Dynamics: A Counter to Rohrs's Counterexample
Robust adaptive control of general n order plants with a scalar input in the presence of unmodeled dynamics is established in this paper. Recently, it has been shown that implementation of aExpand
A new approach to robust adaptive control
TLDR
A new approach in proving global boundedness of adaptive systems in the presence of nonparametric uncertainties is reviewed, which provides a novel approach to robust adaptive control. Expand
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. Expand
Projection Operator in Adaptive Systems
The projection algorithm is frequently used in adaptive control and this note presents a detailed analysis of its properties.
Robust Adaptive Control
1. Introduction. Control System Design Steps. Adaptive Control. A Brief History. 2. Models for Dynamic Systems. Introduction. State-Space Models. Input/Output Models. Plant Parametric Models.Expand