On the design of linear time invariant systems by periodic output feedback Part I. Discrete-time pole assignment†
- 1 June 1978
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 27 (6) , 885-894
- https://doi.org/10.1080/00207177808922419
Abstract
In this paper it is shown that complete controllability and complete observability are necessary and sufficient conditions for discrete-time pole assignment by output feedback for linear time-invariant systems. The resultant output feedback gain is a periodic function of time with a period equal to the sampling interval. It is also shown that periodic discrete-output feedback gains can be used in stabilizing a linear time-invariant system if and only if its unstable modes are controllable and observable.Keywords
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