H∞ AND H2 strong stabilization by numerical optimization
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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.
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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.
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Controller parameterization; H2 control; H∞ Control; Optimization; Strong stabilization Automation; Constrained optimization; Optimization; Parameterization; Stabilization; Transfer matrix method; H2 control; Nonlinear constrained optimization problems; Numerical approaches; Numerical optimizations; Performance improvements; Strong stabilization; Suboptimal controllers; Two stage optimizations; Controllers
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