Optimal entire eigenstructure assignment of discrete-time linear systems

Optimal entire eigenstructure assignment of discrete-time linear systems

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IEE Proceedings - Control Theory and Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

An improved method which assigns the closed-loop eigenvalues of a discrete-time linear system in desired preselected stable locations and which simultaneously selects those eigenvectors which satisfy a quadratic cost criterion with suitable weighting matrices is presented. The optimal feedback gain-matrix is determined without solving the algebraic matrix Riccati equation. The proposed explicit solution of the Riccati equation is feasible for both real and complex closed-loop stable eigenvalues.


    1. 1)
      • B.P. Molinari . The state regulator problem and its inverse. IEEE Trans. , 454 - 459
    2. 2)
      • M.A. Johnson , M.J. Grimble . Recent trends in linear optimal quadraticmultivariable control system design. IEE Proc. D , 53 - 71
    3. 3)
      • M.J. Grimble , M.A. Johnson . (1988) Optimal control and stochastic estimation: Theoryand Applications.
    4. 4)
      • G. Enea , J. Duplaix , M. Franceschi . Discrete optimal control with aggregative poleplacement. IEE Proc. D , 309 - 312
    5. 5)
      • Enea, G., Duplaix, J., Franceschi, M.: `A recursive pole placement method applied toan optimal control', Proceedings of ECC European Control Conference, 1993, 4p. 2366–2369, .
    6. 6)
      • A.T. Alexandridis , G.D. Galanos . Optimal pole-placement for linear multi-inputcontrollable systems. IEEE Trans. , 1602 - 1604

Related content

This is a required field
Please enter a valid email address