Controller Design Under Fuzzy Pole-Placement Specifications: An Interval Arithmetic Approach
- 30 November 2006
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Fuzzy Systems
- Vol. 14 (6), 822-836
- https://doi.org/10.1109/tfuzz.2006.880002
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 problemKeywords
This publication has 14 references indexed in Scilit:
- On the design of robust controllers using the interval Diophantine equationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Analysis of linear systems with fuzzy parametric uncertaintyFuzzy Sets and Systems, 2003
- Formal Solution to Systems of Interval Linear or Non-Linear EquationsReliable Computing, 2002
- A New Technique in Systems Analysis Under Interval Uncertainty and AmbiguityReliable Computing, 2002
- Fuzzy Control Systems Design and AnalysisPublished by Wiley ,2001
- Fuzzy sets in approximate reasoning, Part 1: Inference with possibility distributionsFuzzy Sets and Systems, 1991
- Digital Control SystemsPublished by Springer Science and Business Media LLC ,1989
- Fuzzy identification of systems and its applications to modeling and controlIEEE Transactions on Systems, Man, and Cybernetics, 1985
- Rough setsInternational Journal of Parallel Programming, 1982
- Methods and Applications of Interval AnalysisPublished by Society for Industrial & Applied Mathematics (SIAM) ,1979