DocumentCode :
3601341
Title :
Design of a Polynomial Fuzzy Observer Controller With Sampled-Output Measurements for Nonlinear Systems Considering Unmeasurable Premise Variables
Author :
Chuang Liu ; Lam, H.K.
Author_Institution :
Dept. of Inf., King´s Coll. London, London, UK
Volume :
23
Issue :
6
fYear :
2015
Firstpage :
2067
Lastpage :
2079
Abstract :
In this paper, we propose a polynomial fuzzy observer controller for nonlinear systems, where the design is achieved through the stability analysis of polynomial-fuzzy-model-based (PFMB) observer-control system. The polynomial fuzzy observer estimates the system states using estimated premise variables. The estimated states are then employed by the polynomial fuzzy controller for the feedback control of nonlinear systems represented by the polynomial fuzzy model. The system stability of the PFMB observer-control system is analyzed based on the Lyapunov stability theory. Although using estimated premise variables in polynomial fuzzy observer can handle a wider class of nonlinear systems, it leads to a significant drawback that the stability conditions obtained are nonconvex. Matrix decoupling technique is employed to achieve convex stability conditions in the form of sum of squares. We further extend the design and analysis to polynomial fuzzy observer controller using a sampled-data technique for nonlinear systems, where only sampled-output measurements are available. Simulation examples are presented to demonstrate the feasibility and validity of the design and analysis results.
Keywords :
Lyapunov methods; control system analysis; control system synthesis; feedback; fuzzy control; matrix algebra; nonlinear control systems; observers; polynomials; sampled data systems; stability; Lyapunov stability theory; PFMB observer-control system; convex stability conditions; feedback control; matrix decoupling technique; nonlinear systems; polynomial fuzzy observer controller design; sampled-data technique; sampled-output measurement; stability analysis; sum of squares; system state estimation; unmeasurable premise variables; Lyapunov methods; Nonlinear systems; Numerical stability; Observers; Polynomials; Stability analysis; Thermal stability; Polynomial fuzzy controller; polynomial fuzzy observer; sampled-output measurements; sum of square (SOS); unmeasurable premise variables;
fLanguage :
English
Journal_Title :
Fuzzy Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
1063-6706
Type :
jour
DOI :
10.1109/TFUZZ.2015.2402685
Filename :
7039284
Link To Document :
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