Title
Second-order nonsmooth optimization for H ∞ synthesis
Abstract
The standard way to compute H ∞ feedback controllers uses algebraic Riccati equations and is therefore of limited applicability. Here we present a new approach to the H ∞ output feedback control design problem, which is based on nonlinear and nonsmooth mathematical programming techniques. Our approach avoids the use of Lyapunov variables, and is therefore flexible in many practical situations.
Year
DOI
Venue
2007
10.1007/s00211-007-0095-9
Numerische Mathematik
Keywords
Field
DocType
mathematical programming,algebraic riccati equation,second order,trust region,sequential quadratic programming
Trust region,Lyapunov function,Mathematical optimization,Nonlinear system,Algebraic number,Mathematical analysis,Algebraic equation,Augmented Lagrangian method,Algebraic Riccati equation,Riccati equation,Mathematics
Journal
Volume
Issue
ISSN
107
3
0945-3245
Citations 
PageRank 
References 
11
0.99
18
Authors
3
Name
Order
Citations
PageRank
Vincent Bompart1171.97
Dominikus Noll232841.74
Pierre Apkarian3635108.90