Cheap control tracking performance for non-right-invertible systems
- 1 January 1998
- proceedings article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 4, 4362-4367
- https://doi.org/10.1109/cdc.1998.761996
Abstract
A fundamental limitation exists in the achievable tracking performance of non-right-invertible systems. This limitation manifests itself in the cheap control tracking cost, which we show to be a function of the plant non-minimum phase zeros and of the variation with frequency of the plant direction. The cheap control tracking cost is further connected with an integral relation that constrains the performance of any stable closed-loop system where the plant has a single input and two outputsKeywords
This publication has 8 references indexed in Scilit:
- Feedback limitations in nonlinear systems: from Bode integrals to cheap controlPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Cheap control tracking performance for non-right-invertible systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1998
- Fundamental Limitations in Filtering and ControlPublished by Springer Nature ,1997
- Performance limitations of non-minimum phase systems in the servomechanism problemAutomatica, 1993
- Cheap and singular controls for linear quadratic regulatorsIEEE Transactions on Automatic Control, 1987
- On asymptotic behavior of non-square linear optimal regulatorsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984
- The optimal linear-quadratic time-invariant regulator with cheap controlIEEE Transactions on Automatic Control, 1979
- The maximally achievable accuracy of linear optimal regulators and linear optimal filtersIEEE Transactions on Automatic Control, 1972