Informations générales
ECTSECTS
1
Goal(s)
Use of Linear Matrix Inequalities optimisation tool for analysis and control design.
Content(s)
Recall on convex optimisation
What is an Linear Matrix Inequality
Dissipative systems and LMIs (Bounded Real Lemma)
Stability and performance criteria (H2, Hinf) using LMIs
Control design : H2, Hinf, multi-objectives (tools for relaxation, state feedback and dynamic output feedback design)
Application to Time-delay systems
Extension to Linear Parameter Varying Systems
Prerequisites :
Linear systems
Robust control
Scientific computing
Test
CC
Calendar
S1
Additional Information
10 h CM
Bibliography
S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, Volume 15 of Studies in Applied Mathematics, SIAM, 1994
Advances in Linear Matrix Inequality Methods in Control, SIAM, 1999
Laurent El Ghaoui and Silviu-Iulian Niculescu, Editors
Course on Linear Matrix Inequalities in Control, Dutch Institute of Systems and Control (DISC), http://www.cs.ele.tue.nl/sweiland/lmi.html
French State controlled diploma conferring a Master's degree
