On the linear regulator with cross terms in the performance index
- 1 May 1973
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 17 (5), 1117-1119
- https://doi.org/10.1080/00207177308932455
Abstract
The linear regulator theory which is perhaps the most used result of modern control theory is known to apply even when the performance index contains cross terms in control and state. Bryson and Ho (1960) present this result in terms of an equivalent problem. Conditions which guarantee the existence of a solution to the optimal gain equation for the finite and infinite time eases are well known for the equivalent problem. This note presents these conditions in terms of the original problem.Keywords
This publication has 1 reference indexed in Scilit:
- Conditions for nonnegativeness of partitioned matricesIEEE Transactions on Automatic Control, 1972