Stability and performance in the presence of magnitude bounded real uncertainty: Riccati equation based state space approaches
✍ Scribed by Dragan Obradovic; Lena Valavani
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 353 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0005-1098
No coin nor oath required. For personal study only.
✦ Synopsis
This paper is concerned with Riccati equation based analysis methods for determining stability and performance of perturbed feedback systems. The elements of the state-space representation of the systems are assumed to be linearly perturbed with real, magnitude bounded uncertaintites. Performance is defined as the value of the H= norm of the transfer function of interest. An analysis method based on checking the existence of a common solution to a finite set of Riccati inequalities is proposed; it represents a nonconvex optimization problem. This problem is then transformed into a convex optimization problem by the use of properties of certain matrix inequalities.