• DocumentCode
    1246432
  • Title

    State space computations using MapleV

  • Author

    Ogunye, Ayowale B. ; Penlidis, Alexander

  • Author_Institution
    Comput. & Inf. Technol. Lab., Dow Chem. Co., Midland, MI, USA
  • Volume
    16
  • Issue
    1
  • fYear
    1996
  • fDate
    2/1/1996 12:00:00 AM
  • Firstpage
    70
  • Lastpage
    77
  • Abstract
    The development of algorithms needed for the analytic solution of state space design equations using a computer algebra system (MapleV) is presented in this article. These calculations involve matrix manipulations, eigenvalue-eigenvector determinations, Laplace and inverse Laplace transformations, Z and inverse Z transformations, which are complex, tedious, and error prone, even for simple examples. The process of programming with MapleV encourages appreciation of the important aspects of mathematical investigation, because there is one-to-one correspondence between the symbolic code and the mathematical algorithms being programmed. The use of MapleV has provided symbolic and numerical results, quickly and efficiently, with a tremendous gain in time and with minimal effort
  • Keywords
    Laplace transforms; Z transforms; control system CAD; matrix algebra; state-space methods; symbol manipulation; MapleV; analytic solution; computer algebra system; eigenvalue-eigenvector determinations; inverse Laplace transformations; inverse Z transformations,; matrix manipulations; state space computations; symbolic code; Algorithm design and analysis; Computer errors; Laplace equations; Linear algebra; Mathematical model; Optimal control; Packaging; Process control; State feedback; State-space methods;
  • fLanguage
    English
  • Journal_Title
    Control Systems, IEEE
  • Publisher
    ieee
  • ISSN
    1066-033X
  • Type

    jour

  • DOI
    10.1109/37.482152
  • Filename
    482152