Title :
The study on upper bound of measurement error with constraint of stochastic passage characteristics
Author :
Guoqing, Qi ; Li, Chen ; Xijing, Gao ; Andong, Sheng
Author_Institution :
Autom. Sch., Nanjing Univ. of Sci. & Technol., Nanjing, China
Abstract :
Due to the restrictions of technology and cost, the sensors with measurement precision as lower as possible are in good graces in actual engineering on the premise of guaranteed system performance. For a class of estimation problem that the target future position is a plane (or spatial) area (target area) in some electro-optical tracking systems, the admissible maximum measurement error variance is studied. Firstly, the consistency between the constraint indices of regional pole, prediction error variance and stochastic passage characteristics (opportunity awaiting index) of such kind tracking system is analyzed. Secondly, the multi indices are converted into a set of bi-linear matrix inequalities (BMIs). Then, the admissible maximum measurement error variance is given by iteratively solving linear matrix inequalities (LMIs) to approximate BMIs. Finally, the obtained results are demonstrated by a numerical example.
Keywords :
bilinear systems; linear matrix inequalities; optical tracking; pole assignment; stochastic systems; bilinear matrix inequalities; constraint index; electro-optical tracking system; measurement error; measurement precision; opportunity awaiting index; prediction error variance; regional pole; sensor; stochastic passage characteristics; Costs; Linear matrix inequalities; Measurement errors; Sensor phenomena and characterization; Sensor systems; Stochastic processes; Stochastic systems; System performance; Target tracking; Upper bound; Bi-linear Matrix Inequalities; Measurement Error; Opportunity Awaiting Estimation; Stochastic Passage Characteristics; Target Area;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5192551