학술논문
Mixed continuous-time and discrete-time /spl Hscr//sub /spl infin// control
Document Type
Conference
Author
Source
Proceedings of the 36th IEEE Conference on Decision and Control Decision and control Decision and Control, 1997., Proceedings of the 36th IEEE Conference on. 3:2169-2174 vol.3 1997
Subject
Language
ISSN
0191-2216
Abstract
A Riccati equation (RE) based solution to the /spl Hscr//sub /spl infin// optimal control problem for mixed continuous-time and discrete time systems is presented. The results unifies a number of recently penetrated H/sub /spl infin// control problems. A general criterion (D/sub 11//spl ne/0) is handled without any sophisticated transformations; only the simple transformation from LQ-theory which removes the "cross-penalty" term is applied. In the infinite-horizon case a periodic behavior is assumed, and it is shown how the related continuous RE can be replaced by an equivalent discrete one. It is also shown how an algebraic RE which involves the system behavior during one period can be formulated and solved applying standard techniques.