Stabilization of switched systems under conditions of uncertainty

The report discusses the tasks of developing algorithms for building stabilizers, including digital ones, for switched systems operating under conditions of parametric uncertainty. an algorithm is proposed for reducing the problem of digital stabilization at the output of a switched interval system to the problem of stabilization of a discrete switched interval system. a constructive sufficient condition for the stability of a continuous switched interval system closed by a digital controller is formulated. an algorithm is given for reducing the problem of stabilizing a switched interval system with modes of various dynamic orders to the problem of stabilizing a switched interval system with modes of a single order. a sufficient condition for the existence of a stabilizing regulator in the form of static feedback on the state for a switched interval system in terms of the solvability of a system of linear matrix inequalities is formulated. an algorithm for digital overstabilization based on the state of a switched interval system is proposed. in terms of the solvability of a system of nonlinear matrix inequalities for a switched interval system, a sufficient condition for the existence of a stabilizing regulator in the form of dynamic output feedback is formulated. a theoretical basis for using a neural network approach to stabilize switched linear systems operating under conditions of parametric uncertainty is proposed.