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LMI approach to the inverse problem of optimal control.

Larin VB.

Systems Science

2000

Vol. 26, nr 3

61-68

During development of the methods of synthesis of optimal controllers (direct problem) also the inverse problem of optimal control is investigated. The algorithm for solving a direct problem is reduced to a standard procedure (construction of the stabilizing solution of a matrix Riccati equation). But, it is difficult to indicate a similar unified algorithm for inverse problems. It seems that the linear matrix inequalities (LMI) approach can be used as a basis of such a unified algorithm. Such an approach is used for developing an algorithm for solving the inverse problems.