H∞ AND H2 strong stabilization by numerical optimization Conference Paper uri icon

abstract

  • This paper presents a numerical approach for designing stable MIMO H∞ and H2 controllers. The proposed technique searches for a norm constrained stable transfer matrix Q in the H∞ and H2 suboptimal controller parameterizations so that the final controllers are stable. The norm constrained Q%27s are explicitly parameterized for any fixed order and the H2 and H∞ strong stabilization problems are then converted to nonlinear constrained optimization problems. A numerical search is carried out by a two-stage optimization scheme in order to reach an optimal solution. Examples show the performance improvements of these algorithms over methods already presented in the literature. Copyright © 2002 IFAC.
  • This paper presents a numerical approach for designing stable MIMO H∞ and H2 controllers. The proposed technique searches for a norm constrained stable transfer matrix Q in the H∞ and H2 suboptimal controller parameterizations so that the final controllers are stable. The norm constrained Q's are explicitly parameterized for any fixed order and the H2 and H∞ strong stabilization problems are then converted to nonlinear constrained optimization problems. A numerical search is carried out by a two-stage optimization scheme in order to reach an optimal solution. Examples show the performance improvements of these algorithms over methods already presented in the literature. Copyright © 2002 IFAC.

publication date

  • 2002-01-01