ARBITRARY POLE AND ZERO ASSIGNMENT WITH N-DELAY INPUT CONTROL USING STABLE CONTROLLERS Conference Paper uri icon

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

published proceedings

  • PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3

author list (cited authors)

  • MOORE, K. L., BHATTACHARYYA, S. P., & DAHLEH, M.

citation count

  • 2

complete list of authors

  • MOORE, KL||BHATTACHARYYA, SP||DAHLEH, M

publication date

  • January 1989