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|Title:||Central suboptimal H∞ filter design for linear time-varying systems with state or measurement delay|
|Other Titles:||Central suboptimal H-infinity filter design for linear time-varying systems with state or measurement delay|
|Citation:||Circuits Systems and Signal Processing, 2009; 28(2):305-330|
|Publisher:||SP Birkhäuser Verlag Boston|
|Michael Basin, Peng Shi, Dario Calderon-Alvarez, Jianfei Wang|
|Abstract:||This paper presents central finite-dimensional H ∞ filters for linear systems with state or measurement delay that are suboptimal for a given threshold γ with respect to a modified Bolza–Meyer quadratic criterion including an attenuation control term with opposite sign. In contrast to the results previously obtained for linear time-delay systems, the paper reduces the original H ∞ filtering problems to H 2 (optimal mean-square) filtering problems, using the technique proposed in Doyle et al. (IEEE Trans. Automat. Contr. AC-34:831–847, 1989). The paper first presents a central suboptimal H ∞ filter for linear systems with state delay, based on the optimal H 2 filter from Basin et al. (IEEE Trans. Automat. Contr. AC-50:684–690, 2005), which contains a finite number of filtering equations for any fixed filtering horizon, but this number grows unboundedly as time goes to infinity. To overcome that difficulty, an alternative central suboptimal H ∞ filter is designed for linear systems with state delay, which is based on the alternative optimal H 2 filter from Basin et al. (Int. J. Adapt. Control Signal Process. 20(10):509–517, 2006). Then, the paper presents a central suboptimal H ∞ filter for linear systems with measurement delay, based on the optimal H 2 filter from Basin and Martinez-Zuniga (Int. J. Robust Nonlinear Control 14(8):685–696, 2004). Numerical simulations are conducted to verify the performance of the designed three central suboptimal filters for linear systems with state or measurement delay against the central suboptimal H ∞ filter available for linear systems without delays.|
|Keywords:||H ∞ filtering; Nonlinear system; State delay; Measurement delay|
|Rights:||© Birkhäuser Boston 2008|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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