Title :
Examples of extreme cases in l1 and H∞ optimization
Author :
Venkatesh, S.R. ; Dahleh, Munther A.
Author_Institution :
Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
Abstract :
Advances in the theory of robust control have brought forth two methodologies for controller design: l1 and H∞ . In this paper the authors take the approach of using examples to illustrate some tradeoffs while designing controllers using either of the two methodologies. Further, for the sake of simplicity the authors consider the case of minimization of the sensitivity transfer function in all the examples. First, the authors discuss the frequency domain properties of l1 optimal solutions and compare them with H ∞ optimal solutions. Next the authors contrast l1 and H∞ optimal solutions and explore their extreme behavior. Finally with the help of an example the authors illustrate some interesting properties of mixed minimization
Keywords :
control system synthesis; frequency-domain analysis; frequency-domain synthesis; function approximation; minimisation; optimal control; sensitivity analysis; transfer functions; H∞ optimal solutions; H∞ optimization; controller design; extreme behavior; frequency domain properties; l1 optimal solutions; l1 optimization; mixed minimization; robust control; sensitivity transfer function; Computer aided software engineering; Convolution; Laboratories; Linear programming; Poles and zeros; Stability; Stress measurement;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325587
