Linear quadratic suboptimal control with static output feedback Academic Article

abstract

• 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

publisher

• Elsevier  Publisher

published in

• Systems & Control Letters  Journal

Digital Object Identifier (DOI)

• 10.1016/0167-6911(94)90096-5

start page

• 421

end page

• 430

volume

• 23

issue

• 6

URL

• http://dx.doi.org/10.1016/0167-6911(94)90096-5