“On the Use of Low-Order Riccati-Equations in the Design of a Class of Feedback Controllers and State Estimators”

Authors: Ole A. Solheim,
Affiliation: NTNU, Department of Engineering Cybernetics
Reference: 1980, Vol 1, No 4, pp. 231-245.

Keywords: Riccati equation, optimal control, pole placement, state estimation

Abstract: This paper describes a method for designing optimal feedback controllers with stability requirements using low-order Riccati equations. For originally stable systems the Riccati equation will be of first or second order, depending upon whether the eigenvalues are real or complex. For originally unstable systems the order of the Riccati equation will be equal to the number of eigenvalues with positive real part.

PDF PDF (2372 Kb)        DOI: 10.4173/mic.1980.4.3

DOI forward links to this article:
[1] Ole A. Solheim (1983), doi:10.4173/mic.1983.4.3
[2] Ole A. Solheim and Ulf Stenhaug (1983), doi:10.4173/mic.1983.1.4
[3] O.A. Solheim and U. Stenhaug (1983), doi:10.1016/B978-0-08-029357-8.50064-0
[4] O.A. Solheim and U. Stenhaug (1983), doi:10.1016/S1474-6670(17)61719-1
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  title={{On the Use of Low-Order Riccati-Equations in the Design of a Class of Feedback Controllers and State Estimators}},
  author={Solheim, Ole A.},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}