This paper deals with the problem of stabilizing a bilinear system via linear state-feedback control. The proposed procedures enable us to compute a static state-feedback controller such that the zero-equilibrium point of the closed-loop system is asymptotically stable; moreover, it ensure that an assigned polytopic region is enclosed into the domain of attraction of the equilibrium point. The controller design requires the solution of a convex optimization problem involving linear matrix inequalities. The applicability of the technique is illustrated through an example, dealing with the design of a controller for a C´ uk dc–dc converter.
Stabilization of bilinear systems via linear state-feedback control / Amato, F.; Cosentino, C.; Fiorillo, A. S.; Merola, A.. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS. II, EXPRESS BRIEFS. - ISSN 1549-7747. - 56:1(2009), pp. 76-80. [10.1109/TCSII.2008.2008528]
Stabilization of bilinear systems via linear state-feedback control
Amato F.;
2009
Abstract
This paper deals with the problem of stabilizing a bilinear system via linear state-feedback control. The proposed procedures enable us to compute a static state-feedback controller such that the zero-equilibrium point of the closed-loop system is asymptotically stable; moreover, it ensure that an assigned polytopic region is enclosed into the domain of attraction of the equilibrium point. The controller design requires the solution of a convex optimization problem involving linear matrix inequalities. The applicability of the technique is illustrated through an example, dealing with the design of a controller for a C´ uk dc–dc converter.File | Dimensione | Formato | |
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Amato_et_al_-_Stabilization_of_Bilinear_Systems_Via_Linear_State-Feedback_Control_-_TCASII.pdf
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