Robust stabilizability for a class of transfer functions
- 1 January 1983
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
This paper is concerned with the robust stabilizability for single-input single-output systems. The robust stabilizability means that all the transfer functions in the given class, characterized by the nominal plant model and the uncertainty band function, can be stabilized simultaneously by a fixed controller. A necessary and sufficient condition for robust stabilizability is derived based on a classical result in the interpolation theory of bounded real functions. It is shown that the magnitude of the uncertainty band function should be restricted within a certain range in order that the class is robustly stabilizable. An extension of the result to the servo problem is also discussed.Keywords
This publication has 11 references indexed in Scilit:
- Feedback, minimax sensitivity, and optimal robustnessIEEE Transactions on Automatic Control, 1983
- Multivariable stability margin optimization with decoupling and output regulationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1982
- Algebraic design techniques for reliable stabilizationIEEE Transactions on Automatic Control, 1982
- Correction to "Feedback properties of multivariable systems: The role and use of the return difference matrix"IEEE Transactions on Automatic Control, 1982
- On the role of the Nevanlinna–Pick problem in circuit and system theoryInternational Journal of Circuit Theory and Applications, 1981
- Multivariable feedback design: Concepts for a classical/modern synthesisIEEE Transactions on Automatic Control, 1981
- Robustness results in linear-quadratic Gaussian based multivariable control designsIEEE Transactions on Automatic Control, 1981
- A relationship between sensitivity and stability of multivariable feedback systemsIEEE Transactions on Automatic Control, 1981
- The Nevanlinna–Pick Problem for Matrix-Valued FunctionsSIAM Journal on Applied Mathematics, 1979
- Gain and phase margin for multiloop LQG regulatorsIEEE Transactions on Automatic Control, 1977