Linear quadratic suboptimal control with static output feedback Academic Article uri icon


  • This paper considers the design of a stabilizing static output feedback gain which keeps linear quadratic (LQ) performance index less than a specified number (we call this an 'LQ suboptimal controller'). Existence of such a controller is shown to be equivalent to the existence of a positive-definite matrix P such that P satisfies two linear matrix inequalities (LMIs) while P-1 satisfies another LMI. All LQ suboptimal controllers are explicitly parametrized by the freedom in the choice of the positive-definite matrix P satisfying the LMIs, and an arbitrary positive scalar and an arbitrary matrix of fixed dimension with a norm bound. A modified version of the min/max algorithm is given to find a positive-definite solution P to the LMIs. 1994.

published proceedings

  • Systems & Control Letters

author list (cited authors)

  • Iwasaki, T., Skelton, R. E., & Geromel, J. C.

citation count

  • 124

complete list of authors

  • Iwasaki, T||Skelton, RE||Geromel, JC

publication date

  • December 1994