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An extended state-feedback H2 controller for descriptor systems
System, Structure and Control, Volume # 3 | Part# 1
Authors
Yagoubi, Mohamed; Chevrel, Philippe; Claveau, Fabien
Digital Object Identifier (DOI)
10.3182/20071017-3-BR-2923.00064
Page Numbers:
386-391
Index Terms
descriptor systems,H2 control,generalized algebraic Riccati equation,LMI
Abstract
This paper investigates the design of an "extended" state-feedback H2 controller for continuous-time descriptor systems. In such problem, the controller, which is in descriptor form, is found such that: - The closed-loop transfer matrix is strictly proper and has minimum H2-norm. - Only the internal stability of the physical system (and not the overall descriptor standard model) is required. An explicit characterization of the solution based on a generalized algebraic Riccati equation and two Sylvester equations is given. Under some additional assumptions, a LMI-based solution is proposed. A numerical example is also included to show the applicability of the proposed results.
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