Corpus ID: 15452290

Projection Operator in Adaptive Systems

@article{Lavretsky2011ProjectionOI,
  title={Projection Operator in Adaptive Systems},
  author={E. Lavretsky and T. Gibson},
  journal={ArXiv},
  year={2011},
  volume={abs/1112.4232}
}
The projection algorithm is frequently used in adaptive control and this note presents a detailed analysis of its properties. 

Figures and Topics from this paper

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
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
Adaptive systems with closed-loop reference-models, part I: Transient performance
TLDR
This paper explores the transient properties of direct model reference adaptive control with closed loop reference models and both Euclidean and L2 norms are used to characterize this transient behavior. Expand
Adaptive control of second-order plants in the presence of unmodeled dynamics*
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, inExpand
Adaptive Systems with Closed-loop Reference Models: Stability, Robustness and Transient Performance
TLDR
Using additional design freedom available in closed-loop reference models, new adaptive controllers are designed that are stable, and have improved transient properties. Expand
Adaptive control allocation for constrained systems
TLDR
Simulation results for the Aerodata Model in Research Environment (ADMIRE), which is used as an example of an over-actuated aircraft system with actuator saturation, demonstrate the effectiveness of the proposed control allocation method. Expand
Improved Transient Response in Adaptive Control Using Projection Algorithms and Closed Loop Reference Models
TLDR
Using the extra design freedom available in closed–loop reference models, adaptive controllers are designed that are (a) stable, and (b) have improved transient properties. Expand
A Historical Perspective of Adaptive Control and Learning
This article provides a historical perspective of the field of adaptive control over the past seven decades and its intersection with learning. A chronology of key events over this large time-span,Expand
Adaptive control via embedding in reproducing kernel Hilbert spaces
TLDR
This paper proves the well-posedness of the closed loop evolution laws in the RKHS and derives sufficient conditions for stability and tracking convergence. Expand
On flatness based L1 adaptive trajectory tracking control
TLDR
A novel approach for devising trajectory tracking controllers based on a combination of flatness-based controller design and L1 adaptive control is presented and its effectiveness on an illustrative simulation example is shown. Expand
...
1
2
3
4
5
...

References

SHOWING 1-7 OF 7 REFERENCES
Adaptive nonlinear regulation: estimation from the Lyapunov equation
A stabilizing adaptive controller for a nonlinear system depending affinely on some unknown parameters is presented. It is assumed that this system is feedback stabilizable. A key feature of theExpand
Robust Adaptive Control
  • A. Annaswamy
  • Computer Science
  • 1984 American Control Conference
  • 1984
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. Expand
Adaptive sliding controller synthesis for non-linear systems
Classical ‘sliding mode control’, as investigated mostly in Soviet literature, features excellent robustness properties in relation to parametric uncertainty, but presents several important drawbacksExpand
Output feedback control of nonlinear systems using RBF neural networks
TLDR
An adaptive output feedback control scheme for the output tracking of a class of continuous-time nonlinear plants is presented and it is shown that by using adaptive control in conjunction with robust control, it is possible to tolerate larger approximation errors resulting from the use of lower order networks. Expand
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
The projection operator
  • Personal Notes
  • 2006
Adaptive nonlinear regulation: Output feedback control of nonlinear systems using rbf neural networks
  • IEEE Transactions on Automatic Control
  • 2000