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H∞ AND H2 STRONG STABILIZATION BY NUMERICAL OPTIMIZATION
Daniel U. Campos-Delgado* and Kemin Zhou**
* College of Sciences, UASLP, Mexico, ducd@galia.fc.uaslp.mx
** Dept. of Elec. and Comp. Eng., LSU, Baton Rouge, LA 70803, USA,
kemin@ece.lsu.edu
This paper presents a numerical approach for designing stable MIMO H∞ and H2 controllers for linear systems. 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.
Keywords: Strong Stabilization, Controller Parameterization, Control, Control, Optimization
Session slot T-Th-A21: Posters of Robotics and Robust Control/Area code 2e : Robust Control
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