학술논문

Analysis of Fuzzy Observability Property for a Class of TS Fuzzy Models
Document Type
Periodical
Source
IEEE Latin America Transactions IEEE Latin Am. Trans. Latin America Transactions, IEEE (Revista IEEE America Latina). 15(4):595-602 Apr, 2017
Subject
Power, Energy and Industry Applications
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Engineered Materials, Dielectrics and Plasmas
Fields, Waves and Electromagnetics
General Topics for Engineers
Observers
Observability
Nonlinear systems
IEEE transactions
Analytical models
Takagi-Sugeno model
Fuzzy systems
Fuzzy Observer
TS Fuzzy System
Language
ISSN
1548-0992
Abstract
In this paper, the observability property for a class of Nonlinear systems is analyzed under the theoretical framework of Takagi-Sugeno (TS) fuzzy systems. The main contribution of this work is the designing of a full-order TS fuzzy observer, which allows estimating the state vector in a practical way. The analyzed TS fuzzy observer reconstructs the state vector of nonlinear system by using the overall TS fuzzy model represented by the appropriate blending of linear subsystems that operate around certain operation regions. It is considered that at most two membership functions are activated at the same time to facilitate the analysis of the nonlinear system. The proposed approach allows the behavior of the observer to be easily modified by choosing a set of adequate eigenvalues permitting an arbitrary error convergence according to the design requirements. Some numerical simulations are considered to validate the efficacy of the presented approach. Besides, a comparison between the proposed observer and the one settled down under Parallel Distributed Compensation (PDC) concept is given.