Title :
Novel variance-constrained filtering for uncertain systems subject to randomly varying sensor delay
Author :
Wang, Yijing ; Zuo, Zhiqiang ; Ho, Daniel W C
Author_Institution :
Tianjin Key Lab. of Process Meas. & Control, Tianjin Univ., Tianjin, China
Abstract :
In this paper, the problem of robust filtering for a class of uncertain discrete-time stochastic systems under randomly varying distributed sensor delay is reconsidered. A new and efficient method for robust filter design is introduced to achieve some performance requirements, that is, the error state of filtering process is mean square bounded and the steady-state variance of the estimation error for each state is less than the individual prescribed upper bound. Different from the previous method which involves a two-step design procedure with algebraic Riccati-like inequalities and linear constraint, it is shown that this problem can be directly converted to the feasibility of some linear matrix inequalities. Furthermore, the inequality used for handling the parameter uncertainty in the previous literature is no required which reduces the conservatism of the obtained results. An example is carried out to illustrate the effectiveness of the method and the improvement over the existing result in the literature.
Keywords :
Riccati equations; delays; discrete time filters; distributed sensors; filtering theory; linear matrix inequalities; mean square error methods; stochastic systems; uncertain systems; algebraic Riccati-like inequalities; estimation error; linear constraint; linear matrix inequalities; mean square error method; parameter uncertainty handling; randomly varying distributed sensor delay; robust filter design; steady state variance; two step design procedure; uncertain discrete time stochastic system; variance-constrained filtering; Delay; Linear matrix inequalities; Mathematical model; Robustness; Steady-state; Symmetric matrices; Uncertain systems; Randomly Varying Sensor Delay; Uncertain Systems; Variance-Constrained Filter;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968592