فهرست نشریات علمی دسترسی آزاد ایران

This paper presents new sufficient conditions as a set of BilinearMatrix Inequalities (BMIs) for the global practical stabilization ofdiscrete-time switched affine systems. The main contribution is onproposing the stability conditions based on a common quadraticLyapunov function that can be used to stabilize the discrete-timeswitched affine systems around a desired equilibrium point for whichit is not required to find any Schur stable convex combination ofoperating modes as a pre-processing stage, that needs specialalgorithms and is an NP-hard problem. The result is that theexisting two-stage stabilization methods based on a pre-calculationof a Schur stable convex combination of operating modes aresimplified to a single-stage method by which a high degree ofapplicability is obtained. The proposed stability conditions aredeveloped in a way the size of the convergence ellipsoid isminimized. Moreover, it is not required the equilibrium point,around which the invariant set of attraction is constructed, beinside a predetermined set of attainable equilibrium points. Thesatisfactory operation of the proposed stability conditions isillustrated by an academic example and application onvarious DC-DC converters.