New Results on Output Feedback H Control for Linear Discrete-Time Systems

This note investigates the problem of output feedback H ∞ control for linear discrete-time systems. Three types of H ∞ controllers are considered, namely, static output feedback controllers, dynamic output feedback controllers, and observer-based output feedback controllers. New design conditions fo...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 59; no. 5; pp. 1355 - 1359
Main Authors Chang, Xiao-Heng, Yang, Guang-Hong
Format Journal Article
LanguageEnglish
Published IEEE 01.05.2014
Subjects
Closed loop systems
Discrete-time systems
Educational institutions
H_{\infty} control
Linear matrix inequalities
linear matrix inequalities (LMIs)
Linear systems
Observers
Output feedback
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Summary:This note investigates the problem of output feedback H ∞ control for linear discrete-time systems. Three types of H ∞ controllers are considered, namely, static output feedback controllers, dynamic output feedback controllers, and observer-based output feedback controllers. New design conditions for the three type of output feedback controllers are introduced in terms of unified linear matrix inequality (LMI) representations, which guarantee the prescribed H ∞ performances of the closed-loop systems. In contrast to the existing LMI conditions for designing the output feedback H ∞ controllers, the improvement of the proposed results over the existing ones is shown by theoretical proof and numerical example.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2013.2289706