Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0883.93024
Scherer, Carsten; Gahinet, Pascal; Chilali, Mahmoud
Multiobjective output-feedback control via LMI optimization.
(English)
[J] IEEE Trans. Autom. Control 42, No.7, 896-911 (1997). ISSN 0018-9286

Various (dynamical) feedback design problems for linear time invariant control systems are discussed and solved in terms of linear matrix inequalities (LMI's). \par After the introduction, which gives a good motivation for the chosen approach, the authors derive LMI-formulations for various feedback control objectives: $H_\infty$ control, general quadratic constraints, (generalized) $H_2$ control, peak impulse response, regional pole constraints and robust regulation. \par The LMI approach is then shown to provide a synthesis approach in which several of these objectives can be combined where for each of the mentioned topics, both the LMI formulation and the corresponding feedback synthesis (for full order systems) are given in detail in a Catalog of LMI's''. Finally the reduced order case is briefly mentioned and two examples are discussed.
[L.Gruene (Augsburg)]
MSC 2000:
*93B50 Synthesis problems
15A39 Linear inequalities
93B52 Feedback control
93B55 Pole and zero placement problems
93B36 $H^\infty$-control

Keywords: linear system; linear matrix inequalities; multiobjective feedback synthesis; feedback design

Highlights
Master Server