The scaled Popov criterion and bounds for the real structured singular value
- 17 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 3, 2998-3002
- https://doi.org/10.1109/cdc.1994.411331
Abstract
A generalization of the multivariable Popov criterion is stated for norm-bounded, block-structured real matrices in the feedback path representing constant real parameter uncertainty for a nominal plant. This criterion is rendered less conservative by including scaling matrices whose structure is determined by the block structure of the uncertainty. The scaled Popov criterion is then used to derive an upper bound for the structured singular value for real parameter uncertainty. This upper bound is then rewritten in the form of a linear matrix inequality to facilitate numerical computation. Several numerical examples are given to illustrate the effect of the scaling matrices.Keywords
This publication has 7 references indexed in Scilit:
- Extensions of mixed- mu bounds to monotonic and odd monotonic nonlinearities using absolute stability theory. IPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- A simplified proof of the multivariable Popov criterion and an upper bound for the structured singular value with real parameter uncertaintyPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Linear Matrix Inequalities in System and Control TheoryPublished by Society for Industrial & Applied Mathematics (SIAM) ,1994
- The complex structured singular valueAutomatica, 1993
- Robustness in the presence of mixed parametric uncertainty and unmodeled dynamicsIEEE Transactions on Automatic Control, 1991
- Structured uncertainty in control system designPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1985
- Analysis of feedback systems with structured uncertaintiesIEE Proceedings D Control Theory and Applications, 1982