Fuzzy State-Space Modeling and Robust Observer-Based Control Design for Nonlinear Partial Differential Systems

• Published in: IEEE transactions on fuzzy systems Vol. 17; no. 5; pp. 1025 - 1043
• Main Authors: Chen, Bor-Sen, Chang, Yu-Te
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2009; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Asymptotic properties; Attenuation measurement; Control design; Design engineering; Fuzzy; Fuzzy approach; Fuzzy control; Fuzzy logic; fuzzy partial differential systems (PDSs); Fuzzy set theory; Fuzzy systems; Mathematical model; Mathematical models; Matlab; Moment methods; Noise measurement; Noise robustness; nonlinear partial differential systems (NPDSs); Nonlinearity; Robust control; robust H_{\infty } control; robust stabilization; robust Takagi-Sugeno (T-S) fuzzy observer-based controller; Studies; Takagi-Sugeno model

In this paper, a robust fuzzy control design is proposed for the stabilization of nonlinear partial differential systems (NPDSs). Based on Galerkin's method, a Takagi-Sugeno (T-S) fuzzy PDS is first proposed to model an NPDS. Then, the T-S fuzzy PDS can be represented by a finite-dimensional T-...