• DocumentCode
    778811
  • Title

    Singular LQ problem for nonregular descriptor systems

  • Author

    Zhu, Jiandong ; Ma, Shuping ; Cheng, Zhaolin

  • Author_Institution
    Dept. of Math., Shandong Univ., Jinan, China
  • Volume
    47
  • Issue
    7
  • fYear
    2002
  • fDate
    7/1/2002 12:00:00 AM
  • Firstpage
    1128
  • Lastpage
    1133
  • Abstract
    In this paper, a singular linear quadratic (LQ) problem for non-regular descriptor systems is investigated. Under some general conditions, the optimal control and the optimal state of the LQ problem are given. The optimal control is synthesized as state feedback. All the finite eigenvalues of the closed-loop system are located on the left-half complex plane. The state of the closed-loop system has the least free entries
  • Keywords
    closed loop systems; control system synthesis; eigenvalues and eigenfunctions; linear quadratic control; state feedback; closed-loop system; finite eigenvalues; free entries; left-half complex plane; nonregular descriptor systems; optimal control synthesis; optimal state; singular linear quadratic problem; state feedback; Circuits; Control system synthesis; Eigenvalues and eigenfunctions; Optimal control; Power generation economics; Power system economics; Power systems; Riccati equations; State feedback; State-space methods;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2002.800652
  • Filename
    1017557