OPTIMAL STABILIZATION PROBLEMS OF THE DISCRETE PERIODIC SYSTEMS WITH OUTPUT VARIABLE

In present work, using the matrix approach, new relations are proposed for lalculation of the feedback matrix for the discrete periodic optimal output problem. On the basis of these relations the analogue of algoritm is resulted, which dose not improve accuracy of solution of the example. Therefore using the gradient method the calculating algorithm is offered which improves the accuracy of the solution. Further the inverse problem for the discrete periodic system with a static feedback with output variable is formulated on the basis of linear matrix inqualities. The new calculating algorithm for its solution is offered. Efficiency of suggested algorithm is shown an an example.

Keywords:

out put feedback , discrete periodic system , inverse problem , Lyapunovs equation