Paper Info
Title
Nonsmooth µ synthesis.
Abstract
We develop nonsmooth optimization techniques to solve H1 synthesis problems under additional structural cons- traints on the controller. Our approach avoids the use of Lyapunov variables and therefore leads to moderate size optimization programs even for very large systems. The proposed framework is very versatile and can accommodate a number of challenging design problems including static, fixed-order, fixed-structure, decentralized control, design of PID controllers and simultaneous design and stabilization problems. Our algorithmic strategy uses generalized gradients and bundling techniques suited for the H1-norm and other nonsmooth performance criteria. Convergence to a critical point from an arbitrary starting point is proved (full version) and numerical tests are included to validate our methods. Keywords: H1-synthesis, nonsmooth optimization, Clarke subdierential, BMI.
Year
DOI
Venue
2010
10.1002/rnc.1644
ICARCV
Keywords
DocType
Citations 
np hard problems
Conference
12
PageRank 
References 
Authors
1.12
16
2
Name
Order
Citations
PageRank
Pierre Apkarian1635108.90
Hoang Duong Tuan2121.12