ARBITRARY POLE AND ZERO ASSIGNMENT WITH N-DELAY INPUT CONTROL USING STABLE CONTROLLERS
Conference Paper
Overview
Research
Identity
Additional Document Info
Other
View All
Overview
abstract
It was shown by T. Mita and Y. Chida (1988) that with a two-delay input control scheme it is possible to assign all the poles and zeros of a closed-loop system using state feedback. This result is generalized to the case of N-delay input control scheme the input to the continuous system is changed N times using dynamic compensators. In an N-delay input control scheme the input to the continuous system is changed N times more often than the output is sampled. Using such a scheme, it is shown how to design output feedback controllers for SISO systems that ensure arbitrary placement of all the poles and zeros of the closed-loop system while maintaining internal stability. The design uses stable compensators whose denominators have order p (n - N)/ (N - 1), where n is the order of the continuous-time system. It is also shown that a hidden cost associated with the use of N-delay input control is a degradation in the intersample behavior. This is demonstrated by simulation, and some analysis which helps explain why this degradation arises is presented.
name of conference
Proceedings of the 28th IEEE Conference on Decision and Control