Polygon interval arithmetic and design of robust control systems
- 1 January 1990
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1065-1067 vol.2
- https://doi.org/10.1109/cdc.1990.203765
Abstract
Robust stability analysis and the robust controller design problem of multivariable control systems are considered. To represent and treat the uncertainty of frequency response of plants and controllers, a notion of polygon interval arithmetic (PIA) is introduced. By using PIA, the robust stability problem is solved more efficiently than the method based on the mapping theorem. Moreover, by using PIA, a robust sequential return difference (RSRD) method is proposed, which is an improved version of the traditional SRD method in the sense that it can treat uncertainty contained in both plants and controllers, and that it is possible to guarantee integrity if it is desired.<>Keywords
This publication has 4 references indexed in Scilit:
- Exact calculation of the multiloop stability marginIEEE Transactions on Automatic Control, 1988
- Method of robust stability analysis with highly structured uncertaintiesIEEE Transactions on Automatic Control, 1986
- The design of linear multivariable systemsAutomatica, 1973
- The stability of multivariable systemsIEEE Transactions on Automatic Control, 1972