Feedback limitations in nonlinear systems: from Bode integrals to cheap control
- 23 November 2002
- conference paper
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 3, 2067-2072 vol.3
- https://doi.org/10.1109/cdc.1997.657071
Abstract
This paper links the Bode integral characterization of performance limitations in linear control systems with the limiting cost of a particular linear cheap control. This link allows us to establish analogous feedback limitations in nonlinear systems. We show how unstable zero dynamics impose unavoidable obstructions to the closed-loop performance.Keywords
This publication has 18 references indexed in Scilit:
- Performance limitations of non-minimum phase systems in the servomechanism problemAutomatica, 1993
- Trade-offs in linear control system designAutomatica, 1991
- Cheap and singular controls for linear quadratic regulatorsIEEE Transactions on Automatic Control, 1987
- The optimal LQ regulator with cheap control for not strictly proper systemsOptimal Control Applications and Methods, 1985
- On H∞-optimal sensitivity theory for SISO feedback systemsIEEE Transactions on Automatic Control, 1984
- The optimal linear-quadratic time-invariant regulator with cheap controlIEEE Transactions on Automatic Control, 1979
- A singular perturbation analysis of high-gain feedback systemsIEEE Transactions on Automatic Control, 1977
- Cheap control of the time-invariant regulatorApplied Mathematics & Optimization, 1975
- The maximally achievable accuracy of linear optimal regulators and linear optimal filtersIEEE Transactions on Automatic Control, 1972
- When Is a Linear Control System Optimal?Journal of Basic Engineering, 1964