Title :
Robust H∞ filter design for a class of uncertain systems with time-varying state-delays
Author :
Ramakrishnan, K.K. ; Ray, G.
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol. Kharagpur, Kharagpur, India
Abstract :
In this paper, using Lyapunov-Krasovskii (LK) functional approach, we consider the problem of delay-dependent H∞ filter design for a class of uncertain linear systems with interval time-varying delays. The uncertain system under consideration is subjected to an unknown exogenous disturbance signal. In the proposed design approach, by exploiting an appropriate LK functional, and using minimal number of slack matrix variables, a less conservative sufficient condition for the existence of a robust H∞ filter is derived in linear matrix inequality (LMI) framework. The proposed H∞ filter guarantees that the estimation error is asymptotic even if the measurement signals are corrupted by noise; in addition, for a prescribed specification on the time-varying delay, the proposed filtering technique achieves a minimum noise attenuation level than the existing result that is recently reported. The effectiveness of the proposed result is illustrated using a numerical example.
Keywords :
H∞ filters; Lyapunov matrix equations; delays; linear matrix inequalities; numerical analysis; signal denoising; time-varying filters; LK; LMI; Lyapunov-Krasovskii functional approach; delay-dependent H∞ filter design; estimation error; interval time-varying state-delay; linear matrix inequality; minimum noise attenuation level; numerical example; robust H∞ filter design; signals measurement; slack matrix variable; uncertain linear system; unknown exogenous disturbance signal; Delay-dependent analysis; Linear Matrix Inequality (LMI); Lyapunov-Krasovskii functional; Robust H∞ Filter; Time-varying Delays;
Conference_Titel :
Electrical & Computer Engineering (ICECE), 2012 7th International Conference on
Conference_Location :
Dhaka
Print_ISBN :
978-1-4673-1434-3
DOI :
10.1109/ICECE.2012.6471665