A new class of stabilizing controllers for uncertain dynamical systems

  title={A new class of stabilizing controllers for uncertain dynamical systems},
  author={B. R. Barmish and Martin J. Corless and George Leitmann},
  journal={1982 21st IEEE Conference on Decision and Control},
This paper is concerned with the problem of designing a stabilizing controller for a class of uncertain dynamical systems. The vector of uncertain parameters q(¿) is time-varying, and its values q(t) lie within a prespecified bounding set Q in Rp. Furthermore, no statistical description of q(¿) is assumed, and the controller is shown to render the closed loop system "practically stable" in a so-called guaranteed sense; that is, the desired stability properties are assured no matter what… CONTINUE READING
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Publications referenced by this paper.
Showing 1-8 of 8 references

On Ultimate Boundedness Control of Uncertain Systems in the Absence of Matching Conditions

B R Barmish, G Leitmann
IEEE Transactions on Automatic Control • 1982

Multistep Guaranteed Cost Control of Linear Systems with Uncertain Parameters

A Vinkler, I J Wood
J. Guidance and Control • 1980

Guaranteed asymptotic stability for some linear systems with bounded uncertainties

G Leitmann
J. Dynamic Systems, Meaurement and Control • 1979

Uncertain dynamical systems, a Lyapunov rain-max approach

S Gutman
IEEE Trans. Automat. Control, AC • 1979
View 1 Excerpt

A comparison of several techniques for designing controllers of uncertain dynamic systems

1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes • 1978

Adaptive Guaranteed Cost Control of Systems with Uncertain Parameters

S S L Chang, T K C Peng
IEEE Transactions on Automatic Control • 1972

Stability by Liapunov's Direct Method with Applications

J P Lasalle, S Lefschetz
Stability by Liapunov's Direct Method with Applications • 1961

On Guaranteed Stability of Uncertain Linear Systems via Linear Control

J S Thorp, B R Barmish
J. Optim. Theory and Applications

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