The maximally achievable accuracy of linear optimal regulators and linear optimal filters

Share/Save/Bookmark

Kwakernaak, Huibert and Sivan, Raphael (1972) The maximally achievable accuracy of linear optimal regulators and linear optimal filters. IEEE Transactions on Automatic Control, 17 (1). pp. 79-86. ISSN 0018-9286

open access
[img]
Preview
PDF
1MB
Abstract:A linear system with a quadratic cost function, which is a weighted sum of the integral square regulation error and the integral square input, is considered. What happens to the integral square regulation error as the relative weight of the integral square input reduces to zero is investigated. In other words, what is the maximum accuracy one can achieve when there are no limitations on the input? It turns out that the necessary and sufficient condition for reducing the regulation error to zero is that 1) the number of inputs be at least as large as the number of controlled variables, and 2) the system possess no right-half plane zeros. These results are also "dualized" to the optimal filtering problem.
Item Type:Article
Copyright:© 1972 IEEE
Link to this item:http://purl.utwente.nl/publications/55604
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page