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A study for sensor selection LQ problem
Author(s) -
Kuwahara Masanori,
Kawaji Shigeyasu
Publication year - 2009
Publication title -
electronics and communications in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.131
H-Index - 13
eISSN - 1942-9541
pISSN - 1942-9533
DOI - 10.1002/ecj.10229
Subject(s) - uniqueness , comparability , selection (genetic algorithm) , observer (physics) , control (management) , process (computing) , computer science , mathematical optimization , mathematics , artificial intelligence , mathematical analysis , physics , combinatorics , quantum mechanics , operating system
Although linear control theory is considered to be almost fully systematized, unsolved control problems still occur under certain realistic conditions. As an example, this paper discusses the sensor selection LQ problem. Recent technology has made it possible to arrange a process of large numbers of inexpensive sensors. In such cases we can expect to achieve more effective real‐time control by appropriately switching between sensors. This is an essential control problem but has not been discussed in the literature because of the combinatorial nature of the solution. In this paper we introduce the concept of “comparability of sensors” and present results on the uniqueness of the optimal solution. We then extend the problem to include the use of an observer and derive a sufficient condition for the existence of the unique solution. © 2009 Wiley Periodicals, Inc. Electron Comm Jpn, 92(1): 46–54, 2009; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/ecj.10229