An ordinal optimization framework for robust design

Author

Djaferis, T.E. ; Pepyne, D.L. ; Cushing, D.M.

Author_Institution

Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA

Volume

5

fYear

2001

fDate

2001

Firstpage

4388

Abstract

We consider systems with parameter uncertainty and suggest an ordinal optimization framework for robust design. To illustrate the approach we focus attention on the problem of robust stability margin design. Our formulation exploits frequency domain properties and polynomial value set ideas. A parameterization of stable polynomials is used to characterize the controller search space. Robust control design is then carried out by: 1) employing easily computable stability margin lower bounds to estimate the performance and 2) using ordinal optimization to deal with the lack of known structure in the search space. Preliminary numerical results are provided to illustrate the framework

Keywords

control system synthesis; feedback; optimisation; polynomials; robust control; search problems; uncertain systems; controller search space; frequency domain properties; ordinal optimization framework; parameter uncertainty; polynomial value set; robust control design; robust stability margin design; stability margin lower bounds; stable polynomials; Control design; Design engineering; Design optimization; Frequency domain analysis; Polynomials; Robust control; Robust stability; Robustness; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980892

Filename

980892