title: Nonsynchronized robust filtering design for continuous-time T–S fuzzy affine dynamic systems based on piecewise Lyapunov functions.
abstract: This paper investigates the problem of robust H(∞) state estimation for a class of continuous-time nonlinear systems via Takagi-Sugeno (T-S) fuzzy affine dynamic models. Attention is focused on the analysis and design of an admissible full-order filter such that the resulting filtering error system is asymptotically stable with a guaranteed 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 filter implementation with state-space partition may not be synchronous with the state trajectories of the plant. Based on piecewise quadratic Lyapunov functions combined with S-procedure and some matrix inequality linearization techniques, some new results are presented for the filtering design of the underlying continuous-time T-S fuzzy affine systems. Illustrative examples are given to validate the effectiveness and application of the proposed design approaches.
authors.forename: Jianbin
authors.initials: J
authors.lastname: Qiu
authors.forename: Hui
authors.initials: H
authors.lastname: Tian
authors.forename: Qiugang
authors.initials: Q
authors.lastname: Lu
authors.forename: Huijun
authors.initials: H
authors.lastname: Gao
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D017143:Fuzzy Logic; D015233:Models, Statistical; D012815:Signal Processing, Computer-Assisted