Minimization of a regulated response to a fixed input
- 1 October 1988
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 33 (10) , 924-930
- https://doi.org/10.1109/9.7246
Abstract
The problem of minimizing a regulated output due to a specific bounded input is solved in the SISO (single-input single-output) discrete-time case. It is shown that, in most situations, the optimal solution will not exist, but given any epsilon >0, it is possible to find a suboptimal solution with performance within epsilon of the optimal performance. The proposed approach is extended to the problem of shaping the error transient response. It is shown how time-domain templates can be used in this problem in the same way that frequency-weighting functions are used in the H/sup infinity / and H/sup 2/ problems.Keywords
This publication has 7 references indexed in Scilit:
- L^{1}-optimal compensators for continuous-time systemsIEEE Transactions on Automatic Control, 1987
- l^{1}-optimal feedback controllers for MIMO discrete-time systemsIEEE Transactions on Automatic Control, 1987
- A Course in H∞ Control TheoryPublished by Springer Nature ,1987
- Optimal rejection of persistent bounded disturbancesIEEE Transactions on Automatic Control, 1986
- Optimal disturbance reduction in linear multivariable systemsIEEE Transactions on Automatic Control, 1984
- Synthesis of linear multivariable regulatorsIEEE Transactions on Automatic Control, 1981
- Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable caseIEEE Transactions on Automatic Control, 1976