Characterization and efficient computation of the structured singular value
- 1 August 1986
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 31 (8) , 734-743
- https://doi.org/10.1109/tac.1986.1104388
Abstract
The concept of structured singular value was recently introduced by Doyle [1] as a tool for the analysis and synthesis of feedback systems with structured uncertainties. It is a key to the design of control systems under joint robustness and performance specifications and it very nicely complements the H^{\infty} approach to control system design. in this paper, it is shown that the structured singular value can be obtained as the solution of several smooth optimization problems. Properties of these optimization problems are exhibited, leading to a fast algorithm that always yields the structured singular value for block structures of size no larger than 3, and often does for block structures of larger size.Keywords
This publication has 3 references indexed in Scilit:
- Performance and robustness analysis for structured uncertaintyPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1982
- Analysis of feedback systems with structured uncertaintiesIEE Proceedings D Control Theory and Applications, 1982
- On Pre-Conditioning of MatricesJournal of the ACM, 1960