Abstract
A game theoretic approach is introduced to analyse the relationship between the quadratic and robust stability of systems with structured uncertainties. Necessary and sufficient condition for the equivalence of these two types of stability is presented. The distance between quadratic and robust stability is bounded when this condition is not satisfied. This gives new insight into the mechanism of the quadratic stability. Checking this necessary and sufficient condition and calculating the error bound are formulated as a convex optimization problem. The results developed in this paper are illustrated by several numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 51-58 |
| Number of pages | 8 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1999 |
Keywords
- Game theory
- Quadratic stability
- Robust stability
- Structured uncertainty
- Uncertain systems
ASJC Scopus subject areas
- Control and Systems Engineering
- General Chemical Engineering
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering