This brief note deals with the synthesis of H∞ fixed-order controllers for linear systems. It is well known that this problem can be formulated as a bilinear matrix inequality optimization problem which is non convex and NP hard to solve. In this paper sufficient conditions are provided which allow to convert the controller design into a linear matrix inequality feasibility problem. A numerical example on a practical control problem shows the application of the proposed technique.
Sufficient conditions for the synthesis of H∞ fixed-order controllers / Mattei, M.. - In: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL. - ISSN 1049-8923. - 10:15(2000), pp. 1237-1248. [10.1002/1099-1239(20001230)10:15<1237::AID-RNC512>3.0.CO;2-K]
Sufficient conditions for the synthesis of H∞ fixed-order controllers
Mattei M.
2000
Abstract
This brief note deals with the synthesis of H∞ fixed-order controllers for linear systems. It is well known that this problem can be formulated as a bilinear matrix inequality optimization problem which is non convex and NP hard to solve. In this paper sufficient conditions are provided which allow to convert the controller design into a linear matrix inequality feasibility problem. A numerical example on a practical control problem shows the application of the proposed technique.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
