.png){kind=icon}
.png){kind=icon}
Return
Nonsmooth optimization and robust control
.png){kind=icon}
PRE
AI
DOI：10.1016/j.arcontrol.2007.09.002.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Many questions of robust control analysis and synthesis fundamentally involve nonsmooth sets and functions, and their variational properties. Central examples include distances to instability and uncontrollability, the H-infinity norm, and pseudospectra. This plenary presentation at the Fifth IFAC Symposium on Robust Control Design (2006), surveys what current ideas from nonsmooth analysis say about the structure and conditioning of such functions and sets, and their numerical optimization. The presentation focuses on notions of nonsmooth derivatives and regularity and on structural tools such as partial smoothness and semi-algebraic techniques, illustrating how each idea helps in analysis and algorithm design. This survey relies heavily on joint work of the author with J.V. Burke (University of Washington) and M.L. Overton (Courant Institute). (c) 2007 Elsevier Ltd. All rights reserved.
Keywords:
nonsmooth optimization
robust control
variational analysis
semi-algebraic
stability radius
distance to uncontrollability
H-infinity
algorithm
sensitivity analysis
partly smooth
pseudospectra
transient dynamics
pole placement
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
10.7
Papers:
828
Citations:
5.9K
Organization
No organization information available