TY - GEN
T1 - Quantized filtering design for Markovian jump systems with defective mode information
AU - Wei, Yanling
AU - Qiu, Jianbin
AU - Fan, Yuan
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2015/8/31
Y1 - 2015/8/31
N2 - This paper is concerned with the problem of quantized H∞ filtering for a class of continuous-time Markovian jump linear systems with defective mode information. By virtue of a mode-dependent logarithmic quantizer, the measurement output of the plant is quantized, and the defective mode information in the Markov stochastic process simultaneously involves the exactly known, partially unknown and polytopic-type uncertain transition rates. By fully exploring the properties of transition rate matrices, together with the convexification of uncertain domains, a new quantized H∞ performance analysis criterion is first derived and then the filter synthesis is developed. It is shown that via a linearisation procedure, a unified framework can be developed such that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities. Finally, an illustrative example is given to show the effectiveness of the proposed design method.
AB - This paper is concerned with the problem of quantized H∞ filtering for a class of continuous-time Markovian jump linear systems with defective mode information. By virtue of a mode-dependent logarithmic quantizer, the measurement output of the plant is quantized, and the defective mode information in the Markov stochastic process simultaneously involves the exactly known, partially unknown and polytopic-type uncertain transition rates. By fully exploring the properties of transition rate matrices, together with the convexification of uncertain domains, a new quantized H∞ performance analysis criterion is first derived and then the filter synthesis is developed. It is shown that via a linearisation procedure, a unified framework can be developed such that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities. Finally, an illustrative example is given to show the effectiveness of the proposed design method.
KW - Linear matrix inequalities
KW - Linear systems
KW - Markov processes
KW - Performance analysis
KW - Quantization (signal)
KW - Robustness
KW - Transmission line measurements
UR - https://www.scopus.com/pages/publications/84953775673
U2 - 10.1109/ICMC.2014.7232013
DO - 10.1109/ICMC.2014.7232013
M3 - 会议稿件
AN - SCOPUS:84953775673
T3 - Proceedings - 2014 International Conference on Mechatronics and Control, ICMC 2014
SP - 2476
EP - 2481
BT - Proceedings - 2014 International Conference on Mechatronics and Control, ICMC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - International Conference on Mechatronics and Control, ICMC 2014
Y2 - 3 July 2014 through 5 July 2014
ER -