High gain observers applied to problems in the stabilization of uncertain linear systems, disturbance attenuation and N∞ optimization
✍ Scribed by Ian R. Petersen; Christopher V. Hollot
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 1018 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0890-6327
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✦ Synopsis
In recent years, a number of approaches have been developed for solving the following problem in linear systems theory: design a state feedback control so that the norm of a specified transfer function is less than a given bound over all frequencies. This paper deals with the case in which not all systems states can be measured. It shows that if a certain minimum phase condition is satisfied, then the transfer function bound achievable using state feedback can be asymptotically recovered using a high gain observer. These results have application to the problems of disturbance attenuation, H" optimization and the stabilization of uncertain linear systems.