Paper Info
Title
Controller Design Under Fuzzy Pole-Placement Specifications: An Interval Arithmetic Approach
Abstract
This paper discusses fuzzy specifications for robust controller design, as a way to define different specification levels for different plants in a family and allow the control of performance degradation. Controller synthesis will be understood as mapping a fuzzy plant onto a desired fuzzy set of closed-loop specifications. In this context, a fuzzy plant is considered as a possibility distribution on a given plant space. In particular, pole placement in linear plants with fuzzy parametric uncertainty is discussed, although the basic idea is general and could be applied to other settings. In the case under consideration, the controller coefficients are the solution of a fuzzy linear system of equations with a particular semantics. Modal interval arithmetic is used to solve the system for each alpha-cut. The intersection of the solutions, if not empty, constitutes the solution to the robust control problem
Year
DOI
Venue
2006
10.1109/TFUZZ.2006.880002
IEEE T. Fuzzy Systems
Keywords
Field
DocType
fuzzy pole-placement specifications,fuzzy set,pole placement,fuzzy parametric uncertainty,uncertain systems,interval arithmetic approach,fuzzy specification,fuzzy linear system,controller coefficient,linear plant,fuzzy plant,controller synthesis,modal interval analysis,index terms— fuzzy control,controller design,different plant,robustness,plant space,indexing terms,linear systems,linear system of equations,interval analysis,interval arithmetic,fuzzy set theory,robust control,fuzzy control
Neuro-fuzzy,Mathematical optimization,Defuzzification,Fuzzy classification,Control theory,Fuzzy set operations,Fuzzy logic,Fuzzy control system,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
14
6
1063-6706
Citations 
PageRank 
References 
11
0.91
9
Authors
4
Name
Order
Citations
PageRank
Jorge Bondia110119.21
A. Sala256233.44
J. Pico3111.25
M A Sainz4171.62