This paper presents methods to combine measurements of a linear time-invariant system in such a manner that the new system obtained is strictly positive real (SPR). In particular, this paper focuses on how to best combine measurements in a linear fashion by minimizing the difference in an H 2 or H∞ sense between the new system and a given desired system. The methods proposed to linearly combine sensor measurements rely on linear matrix inequalities (LMIs), which lead to tractable synthesis procedures. Numerical examples involving noncolocated elastic mechanical systems are provided that illustrate the effectiveness of the proposed techniques when used for output tracking control.
|Original language||English (US)|
|Title of host publication||2018 IEEE Conference on Control Technology and Applications, CCTA 2018|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||6|
|State||Published - Oct 26 2018|
|Event||2nd IEEE Conference on Control Technology and Applications, CCTA 2018 - Copenhagen, Denmark|
Duration: Aug 21 2018 → Aug 24 2018
|Name||2018 IEEE Conference on Control Technology and Applications, CCTA 2018|
|Other||2nd IEEE Conference on Control Technology and Applications, CCTA 2018|
|Period||8/21/18 → 8/24/18|
Bibliographical noteFunding Information:
This work was supported in part by the Natural Sciences and Engineering Research Council of Canada’s Postgraduate Scholarship program and National Science Foundation Award Number 1550103.