Optimal low-sensitivity linear feedback systems

@article{Kwakernaak1969OptimalLL,
  title={Optimal low-sensitivity linear feedback systems},
  author={Huibert Kwakernaak},
  journal={Automatica},
  year={1969},
  volume={5},
  pages={279-285}
}
-The paper considers the stochastic linear regulator and tracking problem for multivariable timeinvariant systems. It is shown that in the limiting case, where the matrix weighting the input in the quadratic criterion is the zero matrix, the closed-loop system is insensitive to parameter variations in the sense of Cruz-Perkins, provided that the system to be controlled is minimum-phase. The weighting matrix in the Cruz-Perkins sensitivity criterion turns out to be the inverse of the covariance… CONTINUE READING
Highly Cited
This paper has 29 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 19 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Closed-loop sensitivity reduction of linear optimal control systems

  • E. KREINDLER
  • IEEE Trans. Attt. Control
  • 1968

I-I~R~R: Sensitivity reduction using optimally derived controllers

  • J P.
  • Rept. No. R.353,
  • 1967

POR~R: On the reduction of sensitivity in multivariate systems, lnt

  • W A.
  • J. of Control
  • 1967

DERuSsO: Synthesis of optimal control systems with sensitivity constraints

  • W. G. TUEL, P.M.I. LEE
  • Proc. Third 1FAC Congress,
  • 1966

KALMAN: On structural properties of linear, constant, multivariable systems

  • R E.
  • Proc. Third IFAC Congress,
  • 1966

KAnt,: Low sensitivity design of optimal linear control systems

  • S J.
  • Proc. Fourth Annual Allerton Conf. on Circuit Th…
  • 1966

SAIN: On the control application of a determinant equality related to eigenvalue computation

  • M K.
  • IEEE Trans. Aut. Control
  • 1966

Synthesis of optimal control systems with sensitivity constraints

  • Y. Fu
  • 1966

MESAROVI~: The reproducibility of multivariable Systems

  • M.D.R.W. BROCKE'rr
  • J. Math. Anal. Appl
  • 1965

Similar Papers

Loading similar papers…