In this paper we consider the problem of stabilizing a bilinear system via linear state feedback control. A procedure is proposed which, given a polytope P surrounding the origin of the state space, nds, if existing, a controller in the form u = Kx, such that the zero equilibrium point of the closed loop system is asymptotically stable and P is enclosed into the domain of attraction of the equilibrium. The controller design requires the solution of a convex optimization problem involving Linear Matrix Inequalities. An example illustrates the applicability of the proposed technique.
Stabilization of bilinear systems via linear state feedback control / Amato, Francesco; Cosentino, Carlo; Merola, Alessio. - (2007), pp. 1-5. (Intervento presentato al convegno IEEE MED 07 nel 27-29 giugno 2007) [10.1109/MED.2007.4433740].
Stabilization of bilinear systems via linear state feedback control
Amato, Francesco;
2007
Abstract
In this paper we consider the problem of stabilizing a bilinear system via linear state feedback control. A procedure is proposed which, given a polytope P surrounding the origin of the state space, nds, if existing, a controller in the form u = Kx, such that the zero equilibrium point of the closed loop system is asymptotically stable and P is enclosed into the domain of attraction of the equilibrium. The controller design requires the solution of a convex optimization problem involving Linear Matrix Inequalities. An example illustrates the applicability of the proposed technique.File | Dimensione | Formato | |
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