TY - JOUR
T1 - Nonsynchronized-State estimation of multichannel networked nonlinear systems with multiple packet dropouts Via TS Fuzzy-Affine dynamic models
AU - Qiu, Jianbin
AU - Feng, Gang
AU - Gao, Huijun
PY - 2011/2
Y1 - 2011/2
N2 - This paper investigates the problem of robust ℋ∞ state estimation for a class of multichannel networked nonlinear systems with multiple packet dropouts. The nonlinear plant is represented by TakagiSugeno (TS) fuzzy-affine dynamic models with norm-bounded uncertainties, and stochastic variables with general probability distributions are adopted to characterize the data missing phenomenon in output channels. The objective is to design an admissible state estimator guaranteeing the stochastic stability of the resulting estimation-error system with a prescribed ℋ ∞ disturbance attenuation level. It is assumed that the plant premise variables, which are often the state variables or their functions, are not measurable so that the estimator implementation with state-space partition may not be synchronized with the state trajectories of the plant. Based on a piecewise-quadratic Lyapunov function combined with S -procedure and some matrix-inequality-convexifying techniques, two different approaches are developed to robust filtering design for the underlying TS fuzzy-affine systems with unreliable communication links. All the solutions to the problem are formulated in the form of linear-matrix inequalities (LMIs). Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
AB - This paper investigates the problem of robust ℋ∞ state estimation for a class of multichannel networked nonlinear systems with multiple packet dropouts. The nonlinear plant is represented by TakagiSugeno (TS) fuzzy-affine dynamic models with norm-bounded uncertainties, and stochastic variables with general probability distributions are adopted to characterize the data missing phenomenon in output channels. The objective is to design an admissible state estimator guaranteeing the stochastic stability of the resulting estimation-error system with a prescribed ℋ ∞ disturbance attenuation level. It is assumed that the plant premise variables, which are often the state variables or their functions, are not measurable so that the estimator implementation with state-space partition may not be synchronized with the state trajectories of the plant. Based on a piecewise-quadratic Lyapunov function combined with S -procedure and some matrix-inequality-convexifying techniques, two different approaches are developed to robust filtering design for the underlying TS fuzzy-affine systems with unreliable communication links. All the solutions to the problem are formulated in the form of linear-matrix inequalities (LMIs). Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
KW - Networked nonlinear systems
KW - piecewise Lyapunov functions
KW - state estimation
KW - TakagiSugeno (TS) fuzzy-affine systems
KW - unreliable communication links
UR - http://www.scopus.com/inward/record.url?scp=79551640964&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-79551640964&origin=recordpage
U2 - 10.1109/TFUZZ.2010.2084570
DO - 10.1109/TFUZZ.2010.2084570
M3 - RGC 21 - Publication in refereed journal
VL - 19
SP - 75
EP - 90
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
SN - 1063-6706
IS - 1
M1 - 5595493
ER -