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  5. PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS FOR CONSTRAINED ROBUST GUARANTEED INVENTORY CONTROL SYNTHESIS

PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS FOR CONSTRAINED ROBUST GUARANTEED INVENTORY CONTROL SYNTHESIS

Yu.I. Dorofieiev
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An approach to solution of constrained robust guaranteed inventory control synthesis problem for systems with parametric structural uncertainty under “unknown but bounded” external demand and the availability of non-symmetric structural constraints on the values of states and controls is proposed. The approach is based on the Invariant Ellipsoids Method and Parameter-Dependent Lyapunov Function, use of which allows to reduce the conservatism of the results. Using the Linear Matrix Inequalities is allowed to formulate the synthesis problem as a sequence of semidefinite programming, for solution which is used specialized packages based on the MATLAB system. A numerical example is considered.
Keywords: inventory control, robust control, guaranteed control, invariant ellipsoids method, parameter-dependent Lyapunov function, linear matrix inequality, semidefinite programming