Pole Assignment With Improved Control Performance by Means of Periodic Feedback
- Creators
- Lavaei, Javad
- Sojoudi, Somayeh
- Aghdam, Amir G.
Abstract
This technical note is concerned with the pole placement of continuous-time linear time-invariant (LTI) systems by means of LQ suboptimal periodic feedback. It is well-known that there exist infinitely many generalized sampled-data hold functions (GSHF) for any controllable LTI system to place the modes of its discrete-time equivalent model at prescribed locations. Among all such GSHFs, this technical note aims to find the one which also minimizes a given LQ performance index. To this end, the GSHF being sought is written as the sum of a particular GSHF and a homogeneous one. The particular GSHF can be readily obtained using the conventional pole-placement techniques. The homogeneous GSHF, on the other hand, is expressed as a linear combination of a finite number of functions such as polynomials, sinusoidals, etc. The problem of finding the optimal coefficients of this linear combination is then formulated as a linear matrix inequality (LMI) optimization. The procedure is illustrated by a numerical example.
Additional Information
© 2010 IEEE. Manuscript received October 02, 2007; revised March 30, 2008 and September 28, 2009. First published December 15, 2009; current version published January 13, 2010. This work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) under grant RGPIN-262127-07. Recommended by Associate Editor F. Wu.Attached Files
Published - Lavaei2010p6996Ieee_T_Automat_Contr.pdf
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Additional details
- Eprint ID
- 17412
- Resolver ID
- CaltechAUTHORS:20100208-093716572
- RGPIN-262127-07
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Created
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2010-02-11Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field