Title
Control design in the time and frequency domain using nonsmooth techniques
Abstract
Significant progress in control design has been achieved by the use of nonsmooth and semi-infinite mathematical programming techniques. In contrast with LMI or BMI approaches, these new methods avoid the use of Lyapunov variables, which gives them two major strategic advances over matrix inequality methods. Due to the much smaller number of decision variables, they do not suffer from size restrictions, and they are much easier to adapt to structural constraints on the controller. In this paper, we further develop this line and address both frequency- and time-domain design specifications by means of a nonsmooth algorithm general enough to handle both cases. Numerical experiments are presented for reliable or fault-tolerant control, and for time response shaping.
Year
DOI
Venue
2008
10.1016/j.sysconle.2007.09.001
Systems & Control Letters
Keywords
Field
DocType
Nonsmooth optimization,H∞ synthesis,Structured controllers,PID tuning,Time-domain constraints,Fault tolerance control,Time response shaping
Frequency domain,Lyapunov function,Control theory,Mathematical optimization,PID controller,Control theory,Semi-infinite programming,Response time,Fault tolerance,Mathematics,Linear matrix inequality
Journal
Volume
Issue
ISSN
57
3
0167-6911
Citations 
PageRank 
References 
6
0.64
9
Authors
3
Name
Order
Citations
PageRank
Vincent Bompart1171.97
Pierre Apkarian2635108.90
Dominikus Noll332841.74