In this paper, the finite-time passive filtering problem of a class of neutral time-delayed systems is considered. The exogenous disturbances are unknown but norm bounded. A sufficient condition for passivity and finite-time stability of the combined system is derived and proved by means of Lyapunov functional methods and linear matrix inequalities (LMIs) techniques. The dynamic of the filtering error system is ensured to be finite-time bounded with a prescribed dissipation performance level . Finally, a simulation example is given to illustrate the effectiveness of the proposed method.
AmotoFAriolaMCosentinoC (2006) Finite-time stabilization via dynamic output feedback. Automatica42(2): 337–342.
2.
AmatoFAriolaMDoratoP (2001) Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica37(9): 1459–1463.
3.
BellenAGuglielmiNRuehliAE (1999) Methods for linear systems of circuit delay differential equations of neutral type. IEEE Transactions on Circuits Systems I: Fundamental Theory Applications46(1): 212–215.
4.
ChenH (2013) Delay-dependent robust H∞ filter design for uncertain neutral stochastic system with time-varying delay. IET Transactions on Signal Processing7(5): 368–381.
5.
ChenWZhengW (2007) Delay-dependent robust stabilization of uncertain neutral systems with distributed delays. Automatica43(1): 95–104.
6.
ChenYFeiSLiY (2015) Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback. Automatica52(2): 242–247.
7.
ChengJZhuHZhongS. (2014) Finite-time H∞ filtering for a class of discrete-time Markovian jump systems with partly unknown transition probabilities. International Journal of Adaptive Control and Signal Processing28(10): 1024–1042.
8.
ChengJZhuHZhongS. (2015) Finite-time filtering for switched linear systems with mode-dependent average dwell time. Nonlinear Analysis: Hybrid Systems15: 145–156.
9.
DoratoP (1961) Short-time stability in linear time-varying systems. InProceedings of the IRE International Convention, pp. 83–87.
10.
HeSLiuF (2009) Exponential passive filtering for a class of nonlinear jump systems. Journal of System Engineering and Electronics20(4): 829–837.
11.
HeSLiuF (2014) Optimal finite-time passive controller design for uncertain nonlinear Markovian jumping systems. Journal of the Franklin Institute351(7): 3782–3796.
12.
JiangC (2013) Observer design for neutral systems with delays and nonlinear perturbations: delay-dependent design method. International Journal of Control, Automation and Systems11(2): 427–432.
13.
LiHGaoHShiP. (2014) Fault-tolerant control of Markovian jump stochastic systems via the augmented sliding mode observer approach. Automatica50(7): 1825–1834.
14.
ShenHParkJHWuZ. (2015) Finite-time H∞ synchronization for complex networks with semi-Markov jump topology. Communications in Nonlinear Science and Numerical Simulation24(1–3): 40–51.
15.
SongJHeS (2014) Observer-based finite-time passive control for a class of uncertain time-delayed Lipschitz nonlinear systems. Transactions of the Institute of Measurement and Control36(6): 797–804.
16.
WuZPark JuH. (2013) Delay-dependent passivity for singular Markov jump systems with time-delays. Communications in Nonlinear Science and Numerical Simulation18(3): 669–681.
17.
WuZShiPSuH. (2014) Asynchronous L2−L∞ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities. Automatica50(1): 180–186.
18.
WuLWangCZengQ (2008) Observer-based sliding mode control for a class of uncertain nonlinear neutral delay systems. Journal of the Franklin Institute345(3): 233–253.
19.
YueDHanQL (2005) A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model. IEEE Transactions on Circuits Systems II: Express Briefs51(12): 685–689.
20.
ZhangBZhengWXuS (2011) Passivity analysis and passive control of fuzzy systems with time-varying delays. Fuzzy Sets and Systems174(1): 83–98.
21.
ZhangDYuL (2010) H∞ filtering for linear neutral systems with mixed time-varying delays and nonlinear perturbations. Journal of the Franklin Institute347(7): 1374–1390.
22.
ZhangZZhangZZhangH. (2014) Finite-time stability analysis and stabilization for linear discrete-time system with time-varying delay. Journal of the Franklin Institute351(6): 3457–3476.
23.
ZongGWangRZhengW. (2013) Finite-time stabilization for a class of switched time-delay systems under asynchronous switching. Applied Mathematics and Computation219(11): 5757–5771.
