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Communication Dans Un Congrès Année : 2013

Parametric Lyapunov Equation Approach for Robust H2 Analysis and Structured H2 Control Problems

Résumé

This paper presents a new framework to deal with robust H2 analysis and structured H2 control problems for linear time-invariant multi-parameter dependent systems. These two problems still hold a special place for practical reasons and will be formulated, in the current paper, as a problem of finding an exact solution of some parametric Lyapunov equation. Two results are then proposed: i) A direct inversion method of a particular type parameter-dependent matrix. ii) A Discrete Fourier Transform (DFT) based inversion method for polynomial parameter dependent matrices. Some didactic examples are given, throughout the paper, to illustrate the validity of the proposed results.

Domaines

Automatique
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Dates et versions

hal-00985876 , version 1 (30-04-2014)

Identifiants

  • HAL Id : hal-00985876 , version 1

Citer

Jeremie Guerra, Mohamed Yagoubi, Philippe Chevrel. Parametric Lyapunov Equation Approach for Robust H2 Analysis and Structured H2 Control Problems. 5th Symposium on System Structure and Control Part of 2013 IFAC Joint Conference SSSC, Feb 2013, France. pp.660-665. ⟨hal-00985876⟩
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